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Toplam kayıt 5, listelenen: 1-5
Operational Matrix by Hermite Polynomials for Solving Nonlinear Riccati Differential Equations
(LEBANESE UNIV, 2021)
This paper studies the potential to ensure a numerical solution of nonlinear Riccati differential equations with an effective method, namely operational matrix which is derived by Hermite polynomials with the sense of ...
A NEW NUMERICAL SCHEME FOR SOLVING THE TWO DIMENSIONAL FRACTIONAL DIFFUSION EQUATION
(CZESTOCHOWA UNIV TECHNOLOGY, 2021)
In this study, the locally one dimensional (LOD) method is used to solve the two dimensional time fractional diffusion equation. The fractional derivative is the Caputo fractional derivative of order a. The rate of convergence ...
New Numerical Approach for Solving Abel's Integral Equations
(WALTER DE GRUYTER GMBH, 2021)
In this article, we present an efficient method for solving Abel's integral equations. This important equation is consisting of an integral equation that is modeling many problems in literature. Our proposed method is based ...
A numerical algorithm for solving one-dimensional parabolic convection-diffusion equation
(Taylor and Francis Ltd., 2023)
A numerical method for solving one-dimensional (1D) parabolic convection–diffusion equation is provided. We consider the finite difference formulas with five points to obtain a numerical method. The proposed method converts ...
Towards solving linear fractional differential equations with Hermite operational matrix
(TBILISI CENTRE MATH SCI, 2023)
This paper presents the derivation of a new operational matrix of Caputo fractional derivatives through Hermite polynomials with Tau method to solve a set of fractional differential equations (FDEs). The proposed algorithm ...