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Finite Element Approximation Of Variational Inequalities: An Algorithmic Approach, Messaoud Boulbrachene Apr 2025

Finite Element Approximation Of Variational Inequalities: An Algorithmic Approach, Messaoud Boulbrachene

Sultan Qaboos University Journal For Science

In this paper, we introduce a new method to analyze the convergence of the standard finite element method for elliptic variational inequalities with noncoercive operators (VI). The method consists of combining the so-called Bensoussan-Lions algorithm with the characterization of the solution, in both the continuous and discrete contexts, as fixed point of contraction. Optimal error estimates are then derived, first between the continuous algorithm and its finite element counterpart, and then between the true solution and the approximate solution.

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Connected Components Of H_(R,G)^A (G), Haval M. Mohammed Salih Apr 2025

Connected Components Of H_(R,G)^A (G), Haval M. Mohammed Salih

Sultan Qaboos University Journal For Science

The Hurwitz space is the space of genus g covers of the Riemann sphere with branch points and the monodromy group . In this paper, we enumerate the connected components of the Hurwitz spaces for a finite primitive group of degree 7 and genus zero except . We achieve this with the aid of the computer algebra system GAP and the MAPCLASS package.

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Teaching Statistics To Engineering Students – An Australian Experience Of Using Educational Technologies, Shahjahan Khan, Department Of Mathematics And Statistics, College Of Science, Sultan Qaboos University, Oman, Mohammad Mrk Khadem, Sujan Piya Apr 2025

Teaching Statistics To Engineering Students – An Australian Experience Of Using Educational Technologies, Shahjahan Khan, Department Of Mathematics And Statistics, College Of Science, Sultan Qaboos University, Oman, Mohammad Mrk Khadem, Sujan Piya

Sultan Qaboos University Journal For Science

Engineers require scientific methods whereby models are developed to explain real phenomena. Model building, data collection, data analysis, and data interpretation form the very core of any sound engineering practice. Therefore statistical methodologies are vital components in engineering curricula and engineers should have the ability to think statistically when dealing with data. They should learn how to design and conduct well-planned experiments to improve the efficiency of the process and the quality of products, and must learn to deal with data, and interpret results produced as a part of their data analysis skills. Statistical methods are vital in engineering practices …

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Composition Of Solid Waste In Al Jabal Al Akhdar, A Mountain Region Undergoing Rapid Urbanization In Northern Oman, Abdullah I. Al-Mahrouqi, Reginald Victor Apr 2025

Composition Of Solid Waste In Al Jabal Al Akhdar, A Mountain Region Undergoing Rapid Urbanization In Northern Oman, Abdullah I. Al-Mahrouqi, Reginald Victor

Sultan Qaboos University Journal For Science

There is a lack of data on the generation and composition of waste in rural areas worldwide. The present study analyzed the composition of solid waste in Al Jabal Al Akhdar, a rural mountain region in the Sultanate of Oman, which is presently experiencing a rapid rate of urbanization due to tourism development. The solid wastes here are generated by the municipality collecting waste from residential, commercial, institutional and recreational areas, the military from a training camp and a few non-governmental private companies from their camps and hotels. The whole load from each of the three sources was manually segregated …

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Morphometry Of Organs In Sheep Fed A Diet Containing Tannins And Polyphenols, Osman Mahgoub, Ibrahim Inwa, Isam T. Kadim, Mohamed H. Tageldin, Kaadhia Al-Kharousi Apr 2025

Morphometry Of Organs In Sheep Fed A Diet Containing Tannins And Polyphenols, Osman Mahgoub, Ibrahim Inwa, Isam T. Kadim, Mohamed H. Tageldin, Kaadhia Al-Kharousi

Sultan Qaboos University Journal For Science

The aim of this study was to use morphometry to investigate the essential organs of sheep fed with non-conventional diets. Twelve male Omani sheep were fed with one of two types of roughages supplemented with a commercial concentrate for 63 days and then slaughtered. The volumes of their kidneys, testes, and livers were measured. Random samples from the organs were fixed in formalin and embedded in paraffin. Random five micrometer sections from each block were stained with hematoxylin and eosin. Images from four random fields were taken from each slide using a digital camera attached to the microscope and then …

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Study On The Reactivity Of Amino Acid Chemosensor, Npfnp, With Ethanol: Structural Elucidation Through Single Crystal Xrd And Dft Calculations, Beena Varghese, Saleh N. Al-Busafi, Fakhr Eldin O. Suliman, Salma Al-Kindy Apr 2025

Study On The Reactivity Of Amino Acid Chemosensor, Npfnp, With Ethanol: Structural Elucidation Through Single Crystal Xrd And Dft Calculations, Beena Varghese, Saleh N. Al-Busafi, Fakhr Eldin O. Suliman, Salma Al-Kindy

Sultan Qaboos University Journal For Science

A novel ethoxy derivative of an amino acid chemosensor, 3-naphthyl-1-phenyl-5-(2ʹ-fluoro-5ʹ-nitrophenyl)-2-pyrazoline (NPFNP), has been synthesized and characterized by different spectroscopic methods. A single crystal of the ethoxy derivative, 3-naphthyl-1-phenyl-5-(2ʹ-ethoxy-5ʹ-nitrophenyl)-2-pyrazoline NPENP, has been obtained and characterized. The structure holds interest as it carries biologically active pyrazoline as a central ring attaching to electron donating and withdrawing substituents. The major motivation for this work was to gain detailed insight into the structural parameters of this compound for investigating the influence of crystal packing and geometrical dimensions on optical properties. Time-dependent DFT calculations have been employed for comparing the XRD data with theoretical parameters. …

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Review Of The Sayh Al Uhaymir (Sau) 005, Plus Pairings, Martian Meteorite From Al Wusta, Oman, Arshad Ali, Sobhi Nasir, Iffat Jabeen, Ahmed Al-Rawas Apr 2025

Review Of The Sayh Al Uhaymir (Sau) 005, Plus Pairings, Martian Meteorite From Al Wusta, Oman, Arshad Ali, Sobhi Nasir, Iffat Jabeen, Ahmed Al-Rawas

Sultan Qaboos University Journal For Science

Al Wusta is a desert area in the Sultanate of Oman which is famous due to the discovery of a number of Martian and Lunar meteorites since the start of the present millennium. According to the Meteoritical Bulletin database, 137 approved Martian meteorites have been found worldwide, including 17 from Oman (4 from Zufar, 13 from Al Wusta region). Interestingly 11 finds in the last 15 years have been of Sayh al Uhaymir (SaU) 005 and its pairings. These finds (estimated mass = 11.2 kg) are linked to 10 search expeditions carried out between November 26, 1999 and March 2, …

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Incidence Matrices Of Directed Graphs Of Groups And Their Up-Down Pregroups, Wadhah S. Jassim Apr 2025

Incidence Matrices Of Directed Graphs Of Groups And Their Up-Down Pregroups, Wadhah S. Jassim

Sultan Qaboos University Journal For Science

The aim of this work is to give a definition of the incidence matrices of the directed graph of groups, construct an up-down pregroup of the incidence matrices of the directed graph of groups and then give an algorithm for the up-down pregroup of the directed graph of groups.

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Theorems On Fixed Points For Asymptotically Regular Sequences And Maps In, Mohammad S. Khan, Pankaj K. Jhade Apr 2025

Theorems On Fixed Points For Asymptotically Regular Sequences And Maps In, Mohammad S. Khan, Pankaj K. Jhade

Sultan Qaboos University Journal For Science

In this paper, we present some fixed point theorems for asymptotically regular sequences and asymptotically regular maps in complete

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Finite Dimensional Chebyshev Subspaces Of Lo, Aref K. Kamal Apr 2025

Finite Dimensional Chebyshev Subspaces Of Lo, Aref K. Kamal

Sultan Qaboos University Journal For Science

If A is a subset of the normed linear space X, then A is said to be proximinal in X if for each xÎX there is a point y0ÎA such that the distance between x and A; d(x, A) = inf{||x-y||: yÎA}= ||x­-y0||. The element y0 is called a best approximation for x from A. If for each xÎX, the best approximation for x from A is unique then the subset A is called a Chebyshev subset of X. In this paper the author studies the existence of finite dimensional Chebyshev subspaces of Lo.

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Effect Of Nano Sb2o3 On The Dispersive Optical Constants Of Pmma Films, Wasan A. Al-Taa'y, Mohammed T. Abdul Nabi, Saad F. Oboudi, Emad Yousif Apr 2025

Effect Of Nano Sb2o3 On The Dispersive Optical Constants Of Pmma Films, Wasan A. Al-Taa'y, Mohammed T. Abdul Nabi, Saad F. Oboudi, Emad Yousif

Sultan Qaboos University Journal For Science

Pure and Antimony Trioxide Sb2O3 doped PMMA films were prepared by the casting method. Optical absorption measurements in the wavelength range 200-800 nm were studied by using a computerized UV-Vis spectrophotometer (Shimadzu UV-1601 PC) and these confirmed that PMMA films have a direct band gap that decreases from 5.15 to 4.66 eV as the doping concentration increases to 5wt%. The increase in the density of localized states from 8.9 to 74.5 meV causes an expansion in the Urbach tail and consequently decreases the energy gap. The dispersion of the refractive index was analyzed using the concept of a single oscillator. …

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Effects Of Age, Breed And Sex On Haematological Parameters Of Growing Omani Goat Breeds, Nur El Huda I. Osman, Rashid M. Al-Busaidi, Eugene H. Johnson Apr 2025

Effects Of Age, Breed And Sex On Haematological Parameters Of Growing Omani Goat Breeds, Nur El Huda I. Osman, Rashid M. Al-Busaidi, Eugene H. Johnson

Sultan Qaboos University Journal For Science

Sixty seven healthy growing goat kids of three Omani breeds, born and raised in Sultan Qaboos University Agricultural Experiment Station, were used to study the effects of age, breed and sex on haematological parameters. Blood samples were collected at several times from the first to 25 weeks to study the following parameters: Red Blood Cells (RBCs), White Blood Cells (WBCs), Packed Cell Volume (PCV), Haemoglobin (Hb), Mean Cell Volume (MCV), Mean Cell Haemoglobin Concentration (MCHC) and Mean Cell Haemoglobin (MCH). At birth, MCV and MCH levels were significantly higher in Batina (BAT) kids than both Jabal Akhdar (JA) and Dhofari …

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Computational Study Of Geometry, Solvation Free Energy, Dipole Moment, Polarizability, Hyperpolarizability And Molecular Properties Of 2-Methylimidazole, Mohammad Firoz Khan, Ridwan Bin Rashid, Shahidul M. Islam, Mohammad A. Rashid Apr 2025

Computational Study Of Geometry, Solvation Free Energy, Dipole Moment, Polarizability, Hyperpolarizability And Molecular Properties Of 2-Methylimidazole, Mohammad Firoz Khan, Ridwan Bin Rashid, Shahidul M. Islam, Mohammad A. Rashid

Sultan Qaboos University Journal For Science

Ab initio calculations were carried out to study the geometry, solvation free energy, dipole moment, molecular electrostatic potential (MESP), Mulliken and Natural charge distribution, polarizability, hyperpolarizability, Natural Bond Orbital (NBO) energetic and different molecular properties like global reactivity descriptors (chemical hardness, softness, chemical potential, electronegativity, electrophilicity index) of 2-methylimidazole. B3LYP/6-31G(d,p) level of theory was used to optimize the structure both in the gas phase and in solution. The solvation free energy, dipole moment and molecular properties were calculated by applying the Solvation Model on Density (SMD) in four solvent systems, namely water, dimethylsulfoxide (DMSO), n-octanol and chloroform. The computed bond …

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An Improved Mnemonic Device For Thermodynamic Relations, Younghun Kim, Rengaraj Selvaraj Apr 2025

An Improved Mnemonic Device For Thermodynamic Relations, Younghun Kim, Rengaraj Selvaraj

Sultan Qaboos University Journal For Science

An improved mnemonic device for thermodynamic relations between state variables and potentials was proposed in the form of a thermodynamic circle. Based on separating the Born square into an inner square (T, P, V, and S) and an outer circle (G, A, U, and H), relations such as Legendre transforms, Maxwell equations, equations to compute variables, and differential equations for thermodynamic variables can be recalled easily. The thermodynamic circle has a cross-arrow at its center and can be used to intuitively determine the sign of all thermodynamic relations.

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Combined Effects Of Hall Current And Heat Transfer On Peristaltic Transport Of A Nanofluid In A Vertical Tapered Channel Through A Porous Medium, Ahmed I. Abdellateef, Syed Z. Ul Haque Apr 2025

Combined Effects Of Hall Current And Heat Transfer On Peristaltic Transport Of A Nanofluid In A Vertical Tapered Channel Through A Porous Medium, Ahmed I. Abdellateef, Syed Z. Ul Haque

Sultan Qaboos University Journal For Science

The influences of Hall currents and heat transfer on peristaltic transport of a nanofluid in a vertical porous tapered channel through a porous medium are investigated theoretically and graphically under the assumptions of low Reynolds number and long wavelength and the flow investigated is in a wavy frame of reference. Analytical solutions are obtained for temperature, axial velocity, stream function and pressure gradient. Graphical results are sketched for various embedded parameters.

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Global Dynamics And Sensitivity Analysis Of A Vector-Host-Reservoir Model, Ibrahim M. Elmojtaba, Santanu Biswas, Joydev Chattopadhyay Apr 2025

Global Dynamics And Sensitivity Analysis Of A Vector-Host-Reservoir Model, Ibrahim M. Elmojtaba, Santanu Biswas, Joydev Chattopadhyay

Sultan Qaboos University Journal For Science

The role of animal reservoir in the disease dynamics is not yet properly studied. In the present investigation a mathematical model of a vector-host-reservoir is proposed and analyzed to observe the global dynamics of the disease. We observe that the disease free equilibrium is globally asymptotically stable if the basic reproduction number ( ) is less than unity whereas unique positive equilibrium is globally asymptotically stable if and transcritical bifurcation occurs at . Our numerical result suggests that the biting rate plays an important role for the propagation of the disease and the recovery rate has not such important contribution …

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4d Pyritohedral Symmetry, Nazife O. Koca, Amal J.H. Al Qanobi, Mehmet Koca Apr 2025

4d Pyritohedral Symmetry, Nazife O. Koca, Amal J.H. Al Qanobi, Mehmet Koca

Sultan Qaboos University Journal For Science

We describe an extension of the pyritohedral symmetry in 3D to 4-dimensional Euclidean space and construct the group elements of the 4D pyritohedral group of order 576 in terms of quaternions. It turns out that it is a maximal subgroup of both the rank-4 Coxeter groups W (F4) and W (H4), implying that it is a group relevant to the crystallographic as well as quasicrystallographic structures in 4-dimensions. We derive the vertices of the 24 pseudoicosahedra, 24 tetrahedra and the 96 triangular pyramids forming the facets of the pseudo snub 24-cell. It turns out that the relevant lattice is the …

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Symmetry Of The Pyritohedron And Lattices, Nazife O. Koca, Aida Y. Al-Mukhaini, Mehmet Koca, Amal J. Al-Qanobi Apr 2025

Symmetry Of The Pyritohedron And Lattices, Nazife O. Koca, Aida Y. Al-Mukhaini, Mehmet Koca, Amal J. Al-Qanobi

Sultan Qaboos University Journal For Science

The pyritohedron consisting of twelve identical but non regular pentagonal faces and its dual pseudoicosahedron that possess the pyritohedral (Th) symmetry play an essential role in understanding the crystallographic structures with the pyritohedral symmetry. The pyritohedral symmetry takes a simpler form in terms of quaternionic representation. We discuss the 3D crystals with the pyritohedral symmetry which can be derived from the Coxeter-Dynkin diagram of D3.

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Detection Of Unlabeled Genetically Modified Soybean In The Omani Market, Nabila Al-Sadqi, Aliya S. Alansari Apr 2025

Detection Of Unlabeled Genetically Modified Soybean In The Omani Market, Nabila Al-Sadqi, Aliya S. Alansari

Sultan Qaboos University Journal For Science

This study aimed to screen for products containing Genetically Modified (GM) food in the Omani market using detection methods for the presence of Roundup Ready Soybean, Bt176 and MON810 maize in food products and to quantify it in positive samples using real time Polymerase Chain Reaction (PCR). A total of 100 food samples were collected randomly from markets in Oman. Out of 59 samples, 8 (13.5%) were successfully amplified with the maize plant specific PCR. GM screening showed negative for all samples, which indicated low or no GM maize in the samples tested. Out of 57 soy containing samples, 40 …

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Effects Of Second-Order Slip And Viscous Dissipation On The Analysis Of The Boundary Layer Flow And Heat Transfer Characteristics Of A Casson Fluid, Mohammad M. Rahman, Ioan Pop Apr 2025

Effects Of Second-Order Slip And Viscous Dissipation On The Analysis Of The Boundary Layer Flow And Heat Transfer Characteristics Of A Casson Fluid, Mohammad M. Rahman, Ioan Pop

Sultan Qaboos University Journal For Science

The aim of the present study is to analyze numerically the steady boundary layer flow and heat transfer characteristics of Casson fluid with variable temperature and viscous dissipation past a permeable shrinking sheet with second order slip velocity. Using appropriate similarity transformations, the basic nonlinear partial differential equations have been transformed into ordinary differential equations. These equations have been solved numerically for different values of the governing parameters namely: shrinking parametersuction parameterCasson parameterfirst order slip parametersecond order slip parameter Prandtl number and the Eckert number using the bvp4c function from MATLAB. A stability analysis has also been performed. Numerical results …

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Comparison Of Chemical Composition And Antioxidant Activity Of Four Essential Oils Extracted From Different Parts Of Juniperus Excelsa, Saleh N. Al-Busafi, Salim H. Al-Saidi, Amani I. Al-Riyami, Nawal S. Al-Manthary Apr 2025

Comparison Of Chemical Composition And Antioxidant Activity Of Four Essential Oils Extracted From Different Parts Of Juniperus Excelsa, Saleh N. Al-Busafi, Salim H. Al-Saidi, Amani I. Al-Riyami, Nawal S. Al-Manthary

Sultan Qaboos University Journal For Science

The chemical contents and compositions of four essential oils extracted from leaves, branches, fruits and gum-resin of Juniperus excelsa from Jabal Al-Akhdhar in the Sultanate of Oman were studied using infra-red (IR) spectroscopy and gas chromatography-mass spectrometry (GC-MS). IR analysis revealed the presence of C-H, O-H, C=C and C=O functionality bonds with varied intensities. The GC-MS study showed the occurrence of 35 different monoterpenes of which 11 (31.43%) monoterpenes were shared by the four oils. α-Pinene was detected in branches and gum-resin oils as a major compound with different proportions (80.50% in gum oil and 79.03% in branches oil). The …

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Geological Assessment Of The Khor Kharfot Sediments, Western Dhofar Region, Sultanate Of Oman, Iftikhar A. Abbasi Apr 2025

Geological Assessment Of The Khor Kharfot Sediments, Western Dhofar Region, Sultanate Of Oman, Iftikhar A. Abbasi

Sultan Qaboos University Journal For Science

Khor Kharfot is part of a coastal estuarine wetland system located in the western part of the Dhofar Governorate preserving a pristine ecosystem supporting a distinct vegetation and animal habitat. A sand barrier along the khor (local term for wetlands) mouth controls the mixing of fresh and marine water in the enclosed lagoon. In order to understand the geological controls on the khor formation, a geological map of the khor barrier and inlet area is prepared. The khor is bounded by Cretaceous and Tertiary carbonate rock sequences which are cut by a number of faults. The khor mouth and barrier …

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Kinematics Of Post-Obduction Deformation Of The Tertiary Ridge At Al-Khod Village (Muscat, Oman), Andreas Scharf, Frank Mattern, Sawsan S. Al-Sadi Apr 2025

Kinematics Of Post-Obduction Deformation Of The Tertiary Ridge At Al-Khod Village (Muscat, Oman), Andreas Scharf, Frank Mattern, Sawsan S. Al-Sadi

Sultan Qaboos University Journal For Science

Structural investigations in post-obductional Paleocene to Eocene limestones of the Tertiary Ridge reveal a ~1 km long WNW-ESE striking strike-slip fault system within the ridge, consisting of two main sub-parallel, strike-slip faults. Considering the geometry of the Harding Strain Ellipse, the orientation of structures between the two strike-slip faults (e.g., Riedel shears, folds, reverse faults) point to left-lateral motion. The abundance of large-scale folds (up to 100 m in wave length and amplitude) between the two strike-slip faults led us to the interpretation of transpressive conditions in a first approximation. Moreover, the Tertiary Ridge of the study area consists of …

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Two Dimensional Short Time Hartley Transforms, Narasimman Sundararajan, A. Ebrahimi, Nannappa Vasudha Apr 2025

Two Dimensional Short Time Hartley Transforms, Narasimman Sundararajan, A. Ebrahimi, Nannappa Vasudha

Sultan Qaboos University Journal For Science

The Hartley transform, as in the case of the Fourier transform, is not suitably applicable to non-stationary representations of signals whose statistical properties change as a function of time. Hence, different versions of 2-D short time Hartley transforms (STHT) are given in comparison with the short time Fourier transform (STFT). Although the two different versions of STHT defined here with their inverses are equally applicable, one of them is mathematically incorrect/incompatible due to the incorrect definition of the 2-D Hartley transform in literature. These definitions of STHTs can easily be extended to multi-dimensions. Computations of the STFT and the two …

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Reduction Of Linear Functional Systems Using Fuhrmann's Equivalence, Mohamed S. Boudellioua Apr 2025

Reduction Of Linear Functional Systems Using Fuhrmann's Equivalence, Mohamed S. Boudellioua

Sultan Qaboos University Journal For Science

Functional systems arise in the treatment of systems of partial differential equations, delay-differential equations, multidimensional equations, etc. The problem of reducing a linear functional system to a system containing fewer equations and unknowns was first studied by Serre. Finding an equivalent presentation of a linear functional system containing fewer equations and fewer unknowns can generally simplify both the study of the structural properties of the linear functional system and of different numerical analysis issues, and it can sometimes help in solving the linear functional system. In this paper, Fuhrmann's equivalence is used to present a constructive result on the reduction …

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Thermal And Transport Properties Of Mafic And Ultramafic Rocks Of Oman Ophiolite, Sayyadul Arafin, Ram N. Singh Apr 2025

Thermal And Transport Properties Of Mafic And Ultramafic Rocks Of Oman Ophiolite, Sayyadul Arafin, Ram N. Singh

Sultan Qaboos University Journal For Science

Thermal and other physical properties of rocks and minerals are of considerable significance for deriving mineralogical and compositional models of the Earth's mantle. We have determined these properties for the mafic rock such as gabbro and ultramafic rock like harzburgite of the Oman ophiolite suite by utilizing the Debye characteristic property ,Θ-

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Energy Management Through Heat Integration: A Simple Algorithmic Approach For Introducing Pinch Analysis, Nasser A. Al-Azri Apr 2025

Energy Management Through Heat Integration: A Simple Algorithmic Approach For Introducing Pinch Analysis, Nasser A. Al-Azri

Sultan Qaboos University Journal For Science

Pinch analysis is a methodology used for minimizing energy and material consumption in engineering processes. It features the identification of the pinch point and minimum external resources. Two common established approaches are used to identify these features: the graphical approach and the algebraic method, which are time-consuming and susceptible to human and calculation errors when used for a large number of process streams. This paper presents an algorithmic procedure to heat integration based on the algebraic approach. The algorithmic procedure is explained in a didactical manner to introduce pinch analysis for students and novice researchers in the field. Matlab code …

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Numerical Wave Solutions For Nonlinear Coupled Equations Using Sinc-Collocation Method, Kamel Al-Khaled Apr 2025

Numerical Wave Solutions For Nonlinear Coupled Equations Using Sinc-Collocation Method, Kamel Al-Khaled

Sultan Qaboos University Journal For Science

In this paper, numerical solutions for nonlinear coupled Korteweg-de Vries(abbreviated as KdV) equations are calculated by the Sinc-collocation method. This approach is based on a global collocation method using Sinc basis functions. The first step is to discretize time derivative of the KdV equations by a classic finite difference formula, while the space derivatives are approximated by a weighted scheme. Sinc functions are used to solve these two equations. Soliton solutions are constructed to show the nature of the solution. The numerical results are shown to demonstrate the efficiency of the newly proposed method.

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A Note On Using Partitioning Techniques For Solving Unconstrained Optimization Problems On Parallel Systems, Mehiddin Al-Baali, Chefi Triki Apr 2025

A Note On Using Partitioning Techniques For Solving Unconstrained Optimization Problems On Parallel Systems, Mehiddin Al-Baali, Chefi Triki

Sultan Qaboos University Journal For Science

We deal with the design of parallel algorithms by using variable partitioning techniques to solve nonlinear optimization problems. We propose an iterative solution method that is very efficient for separable functions, our scope being to discuss its performance for general functions. Experimental results on an illustrative example have suggested some useful modifications that, even though they improve the efficiency of our parallel method, leave some questions open for further investigation.

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A Priori Error Estimates For Mixed Finite Element Schemes For The Wave Equation, Samir Karaa Apr 2025

A Priori Error Estimates For Mixed Finite Element Schemes For The Wave Equation, Samir Karaa

Sultan Qaboos University Journal For Science

A family of implicit-in-time mixed finite element schemes is presented for the numerical approximation of the acoustic wave equation. The mixed space discretization is based on the displacement form of the wave equation and the time-stepping method employs a three-level one-parameter scheme. A rigorous stability analysis is presented based on energy estimation and sharp stability results are obtained. A convergence analysis is carried out and optimal a priorierror estimates for both displacement and pressure are derived.

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