Numerical study for a class of time fractional diffusion equations using operational matrices based on Hosoya polynomial-Reference-Cited by-同舟云学术

Numerical study for a class of time fractional diffusion equations using operational matrices based on Hosoya polynomial

Published:2023 Issue:8 Volume:31 Page:4530-4548
ISSN:2688-1594
Container-title:Electronic Research Archive
language:
Short-container-title:era

Author:

Zhou Ping¹,Jafari Hossein²³⁴,Ganji Roghayeh M.²,Narsale Sonali M.⁵

Affiliation:

1. School of Artificial Intelligence, Wenshan University, Wenshan, China

2. Department of Applied Mathematics, University of Mazandaran, Babolsar, Iran

3. Department of Mathematical Sciences, University of South Africa, UNISA0003, South Africa

4. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan

5. Symbiosis Institute of Technology, Symbiosis International (Deemed) University, Pune, India

Abstract

<abstract><p>In this paper, we develop a numerical method by using operational matrices based on Hosoya polynomials of simple paths to find the approximate solution of diffusion equations of fractional order with respect to time. This method is applied to certain diffusion equations like time fractional advection-diffusion equations and time fractional Kolmogorov equations. Here we use the Atangana-Baleanu fractional derivative. With the help of this approach we convert these equations to a set of algebraic equations, which is easier to be solved. Also, the error bound is provided. The obtained numerical solutions using the presented method are compared with the exact solutions. The numerical results show that the suggested method is convenient and accurate.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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