On the Numerical Solution of Fractional Hyperbolic Partial Differential Equations-Reference-Cited by-同舟云学术

On the Numerical Solution of Fractional Hyperbolic Partial Differential Equations

Published:2009 Issue: Volume:2009 Page:1-11
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Ashyralyev Allaberen¹²,Dal Fadime³,Pinar Zehra³

Affiliation:

1. Department of Mathematics, Fatih University, Buyukcekmece, 34500 Istanbul, Turkey

2. Department of Mathematics, ITTU, 744012 Ashgabat, Turkmenistan

3. Department of Mathematics, Ege University, 35100 Izmir, Turkey

Abstract

The stable difference scheme for the numerical solution of the mixed problem for the multidimensional fractional hyperbolic equation is presented. Stability estimates for the solution of this difference scheme and for the first and second orders difference derivatives are obtained. A procedure of modified Gauss elimination method is used for solving this difference scheme in the case of one-dimensional fractional hyperbolic partial differential equations.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2009/730465.pdf

Reference25 articles.

1. Mathematics in Science and Engineering,1999

2. Fractional Derivatives and Special Functions

3. FRACTIONAL DERIVATIVE AS FRACTIONAL POWER OF DERIVATIVE

4. Numerical methods for multi-term fractional (arbitrary) orders differential equations

Cited by 18 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Fractional View Analysis of Emden-Fowler Equations with the Help of Analytical Method;Symmetry;2022-10-16

2. On the Stability and Numerical Scheme of Fractional Differential Equations with Application to Biology;Computation;2022-06-15

3. A Vector Series Solution for a Class of Hyperbolic System of Caputo Time-Fractional Partial Differential Equations With Variable Coefficients;Frontiers in Physics;2021-05-28

4. A new modification of the reduced differential transform method for nonlinear fractional partial differential equations;Journal of Applied Mathematics and Computational Mechanics;2020-09

5. Existence and Stability of Solutions of Katugampola-Caputo Type Implicit Fractional Differential Equations with Impulses;Fundamental Journal of Mathematics and Applications;2018-12-25