Efficient Technique for Solving (3+1)-D Fourth-Order Parabolic PDEs with Time-Fractional Derivatives-Reference-Cited by-同舟云学术

Efficient Technique for Solving (3+1)-D Fourth-Order Parabolic PDEs with Time-Fractional Derivatives

Published:2023-03-31 Issue:4 Volume:12 Page:347
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

ZeinEldin Ramadan A.¹,Singh Inderdeep²,Singh Gurpreet³^ORCID,Elgarhy Mohammed⁴^ORCID,Khalifa Hamiden Abd EI-Wahed⁵⁶

Affiliation:

1. Deanship of Scientific Research, King Abdulaziz University, Jeddah 21589, Saudi Arabia

2. Department of Physical Sciences, Sant Baba Bhag Singh University (SBBSU), Jalandhar 144030, Punjab, India

3. Department of Applied Sciences, Chitkara University Institute of Engineering and Technology, Rajpura 140401, Punjab, India

4. Department of Mathematics and Computer Science, Beni-Suef University, Beni-Suef 62521, Egypt

5. Department of Mathematics, College of Science and Arts, Qassim University, Al-Badaya 51951, Saudi Arabia

6. Department of Operations and Management Research, Cairo University, Giza 12613, Egypt

Abstract

In this presented research, a hybrid technique is proposed for solving fourth-order (3+1)-D parabolic PDEs with time-fractional derivatives. For this purpose, we utilized the Elzaki integral transform with the coupling of the homotopy perturbation method (HPM). From performing various numerical experiments, we observed that the presented scheme is simple and accurate with very small computational errors.

Funder

Deanship of Scientific Research (DSR), King Abdul Aziz University, Jeddah

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/4/347/pdf

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