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341301

Sumudu Transform Pade' Approximation Method for Solving Fractional Physical Models

Article

Last updated: 05 Jan 2025

Subjects

-

Tags

Pure mathematics

Abstract

This study offers a recent technique named the Sumudu Transform Pade' Approximation Method (STPAM) to treat fractional physical models. It comprises the Pade' Approximation Method (PAM) and the Sumudu Transform Method (STM).The Sumudu Transform Pade' Approximation Method (STPAM) enhances the accumulation rate of the truncated Maclaurin series by stratifying the Pade' method in the Sumudu transform method chain solution. The Caputo's fractional derivative was employed. It is necessary for simulating issues with non-local features and phenomena that account for interactions in the past. The Caputo fractional operator is more adaptable for analysis and can handle initial and boundary value issues. The principal objective of the study is to use the Sumudu Transform Pade' Approximation Method (STPAM) to solve fractional models that arise in physics. We solved fractional physical models using the Sumudu transform method (STM) and compared  the results to the exact solutions and the approximate Pade' approximation method (PAM) to assess the quality of the Sumudu Transform Pade' Approximation Method (STPAM). The findings highlight STPAM's advantages, including its ease of use, effectiveness, universality, cleanliness, packability, quality, and clarity.

DOI

10.21608/sjsci.2023.233564.1121

Keywords

Fractional calculus, Sumudu transform method, Pade´ approximation method, Mathematica software

Authors

First Name

Hamdy

Last Name

Abdl-Rahim

MiddleName

R.

Affiliation

Department of mathematics, Industrial Technical Institute, Medium Valley Technological College, Ministry of Higher Education, Sohag, 82786,Egypt.

Email

hamdy.ragab2013@yahoo.com

City

-

Orcid

-

Volume

9

Article Issue

2

Related Issue

44506

Issue Date

2024-06-01

Receive Date

2023-09-02

Publish Date

2024-03-01

Page Start

167

Page End

173

Print ISSN

2357-0938

Online ISSN

2974-4296

Link

https://sjsci.journals.ekb.eg/article_341301.html

Detail API

https://sjsci.journals.ekb.eg/service?article_code=341301

Order

341,301

Type

Regular Articles

Type Code

2,359

Publication Type

Journal

Publication Title

Sohag Journal of Sciences

Publication Link

https://sjsci.journals.ekb.eg/

MainTitle

Sumudu Transform Pade' Approximation Method for Solving Fractional Physical Models

Details

Type

Article

Created At

29 Dec 2024