A New Numerical Approach for Solving 1D Fractional Diffusion-Wave Equation-Reference-Cited by-同舟云学术

A New Numerical Approach for Solving 1D Fractional Diffusion-Wave Equation

Published:2021-01-06 Issue: Volume:2021 Page:1-7
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Ali Umair¹,Khan Muhammad Asim²,Khater Mostafa M. A.³⁴^ORCID,Mousa A. A.⁵,Attia Raghda A. M.⁵

Affiliation:

1. Department of Applied Mathematics and Statistics, Institute of Space Technology, P.O. Box 2750, Islamabad 44000, Pakistan

2. School of Mathematical Sciences, Universiti Sains Malaysia, 11800 USM, Penang, Malaysia

3. Department of Mathematics, Faculty of Science, Jiangsu University, 212013 Zhenjiang, China

4. Department of Mathematics, Obour Institutes, 11828 Cairo, Egypt

5. Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia

Abstract

Fractional derivative is nonlocal, which is more suitable to simulate physical phenomena and provides more accurate models of physical systems such as earthquake vibration and polymers. The present study suggested a new numerical approach for the fractional diffusion-wave equation (FDWE). The fractional-order derivative is in the Riemann-Liouville (R-L) sense. Discussed the theoretical analysis of stability, consistency, and convergence. The numerical examples demonstrate that the method is more workable and excellently holds the theoretical analysis, showing the scheme’s feasibility.

Funder

Taif University

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2021/6638597.pdf

Reference38 articles.

1. Improving energy efficiency of multimedia content dissemination by adaptive clustering and D2D multicast;L. Yin;Mobile Information Systems,2019

2. High-order compact scheme for the two-dimensional fractional Rayleigh-Stokes problem for a heated generalized second-grade fluid;M. A. Khan;Advances in Difference Equations,2020

3. A simple accurate method for solving fractional variational and optimal control problems;S. Jahanshahi;Journal of Optimization Theory and Applications,2017

4. Some approximations of fractional order operators used in control theory and applications;B. Vinagre;Fractional calculus and applied analysis,2000

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