Open Access. Powered by Scholars. Published by Universities.®
- Discipline
-
- Mathematics (5)
- Other Applied Mathematics (5)
- Control Theory (3)
- Analysis (2)
- Dynamic Systems (2)
-
- Number Theory (2)
- Numerical Analysis and Computation (2)
- Ordinary Differential Equations and Applied Dynamics (2)
- Partial Differential Equations (2)
- Accounting (1)
- Applied Statistics (1)
- Bioinformatics (1)
- Business (1)
- Dynamical Systems (1)
- Finance and Financial Management (1)
- Life Sciences (1)
- Management Sciences and Quantitative Methods (1)
- Other Physical Sciences and Mathematics (1)
- Other Physics (1)
- Physics (1)
- Statistics and Probability (1)
- Systems Biology (1)
- Institution
- Keyword
-
- Adomian decomposition method (1)
- Analytical scheme (1)
- Approximate solution (1)
- Caputo’s fractional derivative (1)
- Convergent series (1)
-
- Differential equations (1)
- Dilation theory (1)
- Dual pair (1)
- Eigenvalues (1)
- Elliptical coordinates (1)
- FTE ST (1)
- Fibonacci Polynomial (1)
- Functionally graded material (1)
- Gaussian Function (1)
- Generalized Sylvester polynomials (1)
- Generating function (1)
- Group (1)
- Hollow cylinder (1)
- Hypergeometric Differential Equation (1)
- Hypergeometric function (1)
- Integral transform (1)
- Locally convex space (1)
- Lucas Polynomial (1)
- Neutrosophic set; single-valued neutrosophic set; NS-cross entropy measure; multi-attribute group decision-making (1)
- Nonlinear waves (1)
- Numerical analysis (1)
- Polynomials (1)
- Positive definite function (1)
- Presentation (1)
- Q-differential operator and Euler’s q-derivative operator (1)
- Publication
-
- Applications and Applied Mathematics: An International Journal (AAM) (5)
- Annual Symposium on Biomathematics and Ecology Education and Research (1)
- Branch Mathematics and Statistics Faculty and Staff Publications (1)
- Department of Applied Mathematics and Statistics Faculty Scholarship and Creative Works (1)
- Electronic Theses, Projects, and Dissertations (1)
- Publication Type
Articles 1 - 11 of 11
Full-Text Articles in Special Functions
Fibonacci And Lucas Differential Equations, Esra Erkus-Duman, Hakan Ciftci
Fibonacci And Lucas Differential Equations, Esra Erkus-Duman, Hakan Ciftci
Applications and Applied Mathematics: An International Journal (AAM)
The second-order linear hypergeometric differential equation and the hypergeometric function play a central role in many areas of mathematics and physics. The purpose of this paper is to obtain differential equations and the hypergeometric forms of the Fibonacci and the Lucas polynomials. We also write again these polynomials by means of Olver’s hypergeometric functions. In addition, we present some relations between these polynomials and the other well-known functions.
Approximate Analytical Solutions Of Space-Fractional Telegraph Equations By Sumudu Adomian Decomposition Method, Hasib Khan, Cemil Tunç, Rahmat A. Khan, Akhtyar G. Shirzoi, Aziz Khan
Approximate Analytical Solutions Of Space-Fractional Telegraph Equations By Sumudu Adomian Decomposition Method, Hasib Khan, Cemil Tunç, Rahmat A. Khan, Akhtyar G. Shirzoi, Aziz Khan
Applications and Applied Mathematics: An International Journal (AAM)
The main goal in this work is to establish a new and efficient analytical scheme for space fractional telegraph equation (FTE) by means of fractional Sumudu decomposition method (SDM). The fractional SDM gives us an approximate convergent series solution. The stability of the analytical scheme is also studied. The approximate solutions obtained by SDM show that the approach is easy to implement and computationally very much attractive. Further, some numerical examples are presented to illustrate the accuracy and stability for linear and nonlinear cases.
Thermoelastic Stress Analysis Of A Functionally Graded Transversely Isotropic Hollow Cylinder In Elliptical Coordinates, Tara Dhakate, Vinod Varghese, Lalsingh Khalsa
Thermoelastic Stress Analysis Of A Functionally Graded Transversely Isotropic Hollow Cylinder In Elliptical Coordinates, Tara Dhakate, Vinod Varghese, Lalsingh Khalsa
Applications and Applied Mathematics: An International Journal (AAM)
This paper is concerned with the axisymmetric thermoelastic problem to investigate the influence of nonlinear heat conduction equation, displacement functions and thermal stresses of a functionally graded transversely isotropic hollow cylinder that is presented in the elliptical coordinate system. The method of integral transform technique is used to produce an exact solution of the heat conduction equation in which sources are generated according to a linear function of the temperature. An explicit exact solution of the governing thermoelastic equation is proposed when material properties are power-law functions with the exponential form of the radial coordinate. Numerical calculations are also carried …
Generalized Sylvester Polynomials Of In Several Variables, Nejla Özmen, Sule Soytürk
Generalized Sylvester Polynomials Of In Several Variables, Nejla Özmen, Sule Soytürk
Applications and Applied Mathematics: An International Journal (AAM)
This study deals with some new properties for the Generalized Sylvester polynomials in several variables. Some properties of these polynomials were given. We also derive an application giving certain families of bilateral generating functions for the Generalized Sylvester polynomials in several variables. At the end, we discuss some special cases.
Using Canalization For The Control Of Discrete Networks, David Murrugarra
Using Canalization For The Control Of Discrete Networks, David Murrugarra
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Masked Instability: Within-Sector Financial Risk In The Presence Of Wealth Inequality, Youngna Choi
Masked Instability: Within-Sector Financial Risk In The Presence Of Wealth Inequality, Youngna Choi
Department of Applied Mathematics and Statistics Faculty Scholarship and Creative Works
We investigate masked financial instability caused by wealth inequality. When an economic sector is decomposed into two subsectors that possess a severe wealth inequality, the sector in entirety can look financially stable while the two subsectors possess extreme financially instabilities of opposite nature, one from excessive equity, the other from lack thereof. The unstable subsector can result in further financial distress and even trigger a financial crisis. The market instability indicator, an early warning system derived from dynamical systems applied to agent-based models, is used to analyze the subsectoral financial instabilities. Detailed mathematical analysis is provided to explain what financial …
Method Of Deriving Companion Identities Associating Q-Series, Keshav P. Yadav, Adarsh Kumar
Method Of Deriving Companion Identities Associating Q-Series, Keshav P. Yadav, Adarsh Kumar
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we have established two theorems by making use of Euler’s q-derivative and qshifted operators for a function of one variable and also for function of two variables. We derived several companion identities by applying these theorems on some known q-series identities. We deduced several special cases which are also the companion identities in the last section of the paper.
Radial Basis Function Generated Finite Differences For The Nonlinear Schrodinger Equation, Justin Ng
Radial Basis Function Generated Finite Differences For The Nonlinear Schrodinger Equation, Justin Ng
Theses and Dissertations
Solutions to the one-dimensional and two-dimensional nonlinear Schrodinger (NLS) equation are obtained numerically using methods based on radial basis functions (RBFs). Periodic boundary conditions are enforced with a non-periodic initial condition over varying domain sizes. The spatial structure of the solutions is represented using RBFs while several explicit and implicit iterative methods for solving ordinary differential equations (ODEs) are used in temporal discretization for the approximate solutions to the NLS equation. Splitting schemes, integration factors and hyperviscosity are used to stabilize the time-stepping schemes and are compared with one another in terms of computational efficiency and accuracy. This thesis shows …
Ns-Cross Entropy-Based Magdm Under Single-Valued Neutrosophic Set Environment, Florentin Smarandache, Surapati Pramanik, Shyamal Dalapati, Shariful Alam, Tapan Kumar Roy
Ns-Cross Entropy-Based Magdm Under Single-Valued Neutrosophic Set Environment, Florentin Smarandache, Surapati Pramanik, Shyamal Dalapati, Shariful Alam, Tapan Kumar Roy
Branch Mathematics and Statistics Faculty and Staff Publications
A single-valued neutrosophic set has king power to express uncertainty characterized by indeterminacy, inconsistency and incompleteness. Most of the existing single-valued neutrosophic cross entropy bears an asymmetrical behavior and produces an undefined phenomenon in some situations. In order to deal with these disadvantages, we propose a new cross entropy measure under a single-valued neutrosophic set (SVNS) environment, namely NS-cross entropy, and prove its basic properties. Also we define weighted NS-cross entropy measure and investigate its basic properties. We develop a novel multi-attribute group decision-making (MAGDM) strategy that is free from the drawback of asymmetrical behavior and undefined phenomena. It is …
Progenitors Involving Simple Groups, Nicholas R. Andujo
Progenitors Involving Simple Groups, Nicholas R. Andujo
Electronic Theses, Projects, and Dissertations
I will be going over writing representations of both permutation and monomial progenitors, which include 2^{*4} : D_4, 2^(*7) :L_2 (7) as permutation progenitors, and monomial progenitors 7^(*2) :_m S_3 \times 2, 11^{*2} :_m (5:2)^{*}5, 11^{*3} :_m (25:3), 11^{*4} :_m (4 : 5)^{*}5. Also, the images of these different progenitors at both lower and higher fields and orders. \\ We will also do the double coset enumeration of S5 over D6, S6 over 5 : 4, A_5 x A_5 over (5:2)^{*}5, and go on to also do the double coset enumeration over maximal subgroups for larger constructions. We will also …
Positive Definite Functions And Dual Pairs Of Locally Convex Spaces, Daniel Alpay, Saak Gabriyelyan
Positive Definite Functions And Dual Pairs Of Locally Convex Spaces, Daniel Alpay, Saak Gabriyelyan
Mathematics, Physics, and Computer Science Faculty Articles and Research
Using pairs of locally convex topological vector spaces in duality and topologies defined by directed families of sets bounded with respect to the duality, we prove general factorization theorems and general dilation theorems for operator-valued positive definite functions.