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Articles 1 - 10 of 10
Full-Text Articles in Physical Sciences and Mathematics
Laguerre Type Twice-Iterated Appell Polynomials, Nesli̇han Bi̇ri̇ci̇k, Mehmet Ali̇ Özarslan, Bayram Çeki̇m
Laguerre Type Twice-Iterated Appell Polynomials, Nesli̇han Bi̇ri̇ci̇k, Mehmet Ali̇ Özarslan, Bayram Çeki̇m
Turkish Journal of Mathematics
In this study, we use discrete Appell convolution to define the sequence of Laguerre type twice-iterated Appell polynomials. We obtain explicit representation, recurrence relation, determinantal representation, lowering operator, integro-partial raising operator and integro-partial differential equation. In addition, the special cases of this new family are investigated using Euler and Bernoulli numbers. We also state their corresponding characteristic properties.
Raising Student Awareness Of Environmental Issues Via Writing Assignments With Differential Equations, Michelle L. Ghrist
Raising Student Awareness Of Environmental Issues Via Writing Assignments With Differential Equations, Michelle L. Ghrist
CODEE Journal
In this paper, I discuss two environmentally-focused writing assignments that I developed and implemented in recent integral calculus and differential equations courses. These models of carbon storage and PCB’s in a river provide interesting applications of one-compartment mixing problems. The assignments were intended to focus student attention on sustainability concerns while also developing other essential skills. I discuss these assignments and their effect on my students’ technical writing and environmental awareness. Detailed introductory instructions and mostly complete solutions to these assignments appear in the appendices, to include sample student work.
Scattering Theory Of The Quadratic Eigenparameter Depending Impulsive Sturm-Liouville Equations, Güler Başak Öznur, Elgi̇z Bairamov
Scattering Theory Of The Quadratic Eigenparameter Depending Impulsive Sturm-Liouville Equations, Güler Başak Öznur, Elgi̇z Bairamov
Turkish Journal of Mathematics
We handle an impulsive Sturm-Liouville boundary value problem. We find the Jost solution, Jost function, and scattering function of this problem and examine the properties of scattering function. We also study eigenvalues and resolvent operator of this problem. Finally, we exemplify our work by taking a different problem.
Numerical Study Of The Process Of Unsteady Filtration Of A Fluid In Interacting Porous Pressure Layers, Normakhmad Ravshanov, Elmira Nazirova, Sabur Aminov
Numerical Study Of The Process Of Unsteady Filtration Of A Fluid In Interacting Porous Pressure Layers, Normakhmad Ravshanov, Elmira Nazirova, Sabur Aminov
Bulletin of TUIT: Management and Communication Technologies
A review of the fundamental studies conducted in 2010 - 2020 is given in the article to develop a mathematical model related to the fluid and gas filtration processes in porous media. To conduct a comprehensive study of the process of unsteady filtration of fluid in multi-layer porous pressure media and to make a management decision, a mathematical model described by a system of partial differential equations with corresponding initial and boundary conditions and a conservative numerical algorithm were developed. On the basis of the developed software of the problem posed, computational experiments were conducted on a computer; the calculation …
Modeling And Analysis Of Nonstationary Gas Filtration Under Gas Dynamic Parameters Variation, N Ravshanov, Elmira Nazirova
Modeling And Analysis Of Nonstationary Gas Filtration Under Gas Dynamic Parameters Variation, N Ravshanov, Elmira Nazirova
Bulletin of TUIT: Management and Communication Technologies
A mathematical model that describes a partial differential equation with boundary, internal and initial conditions was developed in the article, to study the gas-dynamic parameters of the gas filtration process in a porous medium under isothermal conditions. The study was performed based on the reviews of research works related to mathematical modeling in recent years. Computational experiments (CE) were conducted on a computer to determine the response of the main parameters on the process of gas filtration in a porous medium on the basis of the developed mathematical tool (model, numerical algorithm, and software). The results of numerical calculations were …
The Relation Between The Existence Of Bounded Global Solutions Of The Differential Equations And Equations On Time Scales, Olha Karpenko, Oleksandr Stanzhytskyi, Tetiana Dobrodzii
The Relation Between The Existence Of Bounded Global Solutions Of The Differential Equations And Equations On Time Scales, Olha Karpenko, Oleksandr Stanzhytskyi, Tetiana Dobrodzii
Turkish Journal of Mathematics
This work is devoted to the study of existence of a bounded solution of the differential equation, defined on a family of time scales $\mathbb{T}_\lambda$, provided the graininess function $\mu_\lambda$ converges to zero as $\lambda\to 0$. We obtained the conditions, under which the existence of a bounded solution of differential equation implies the existence of a bounded solution of the corresponding equation, defined on time scales, and vice versa.
Problem With Bitsadze-Samarski And Integral Conditions For An Ordinary Differential Equation, M. Abdumannopov
Problem With Bitsadze-Samarski And Integral Conditions For An Ordinary Differential Equation, M. Abdumannopov
Scientific journal of the Fergana State University
In the paper, a problem with Bitsadze-Samarski condition and first-type integral condition for the second order ordinary differential equation is studied.
Problem With Bitsadze-Samarski And Integral Conditions For An Ordinary Differential Equation, M. Abdumannopov
Problem With Bitsadze-Samarski And Integral Conditions For An Ordinary Differential Equation, M. Abdumannopov
Scientific journal of the Fergana State University
In the paper, a problem with Bitsadze-Samarski condition and first-type integral condition for the second order ordinary differential equation is studied.
Batik Dying Simulation Based On Diffusion, Yangtao Yu, Zhenlu Yu, Wenhua Qian, Keshi Zhang, Xu Dan
Batik Dying Simulation Based On Diffusion, Yangtao Yu, Zhenlu Yu, Wenhua Qian, Keshi Zhang, Xu Dan
Journal of System Simulation
Abstract: This paper presents a three-layer model which is composed of wax layer, warp layer and weft layer. The wax layer wraps warp and weft layer which overlap together. According to Fick's second law and considering dye's diffusion, absorption and supply, a differential equation is built to describe diffusion process and this equation is discretized. Porosity, tortuosity and neighboring coefficient are used in the equation. Rectangular weave is simulated by using ellipse-distance model and blurred in HSV color space. Simulation shows that the satisfactory visual effect which closes to real batik cloth is acquired by the method and the algorithm …
Establishment Of A Chebyshev-Dependent Inhomogeneous Second Order Differential Equation For The Applied Physics-Related Boubaker-Turki Polynomials, Micahel Dada, O. Bamidele Awojoyogbe, Maximilian Hasler, Karem B. Ben Mahmoud, Amine Bannour
Establishment Of A Chebyshev-Dependent Inhomogeneous Second Order Differential Equation For The Applied Physics-Related Boubaker-Turki Polynomials, Micahel Dada, O. Bamidele Awojoyogbe, Maximilian Hasler, Karem B. Ben Mahmoud, Amine Bannour
Applications and Applied Mathematics: An International Journal (AAM)
This paper proposes Chebyshev-dependent inhomogeneous second order differential equation for the m-Boubaker polynomials (or Boubaker-Turki polynomials). This differential equation is also presented as a guide to applied physics studies. A concrete example is given through an attempt to solve the Bloch NMR flow equation inside blood vessels.