Rational approximation for solving Fredholm integro-differential equations by new algorithm-Reference-Cited by-同舟云学术

Rational approximation for solving Fredholm integro-differential equations by new algorithm

Published:2023-01-01 Issue:1 Volume:21 Page:
ISSN:2391-5471
Container-title:Open Physics
language:en
Short-container-title:

Author:

Nawaz Rashid¹,Sumera ²,Zada Laiq²,Ayaz Muhammad²,Ahmad Hijaz³⁴⁵,Awwad Fuad A.⁶,Ismail Emad A. A.⁶

Affiliation:

1. UniSa STEM, University of South Australia , Adelaide , Australia

2. Department of Mathematics, Abdul Wali Khan University Mardan Khyber Pakhtunkhwa , Mardan , Pakistan

3. Operational Research Center in Healthcare, Near East University , Near East Boulevard, PC: 99138 Nicosia/Mersin 10 , Turkey

4. Department of Computer Science and Mathematics, Lebanese American University , Beirut , Lebanon

5. Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39 , Roma 00186 , Italy

6. Department of Quantitative analysis, College of Business Administration, King Saud University , P.O. Box 71115 , Riyadh 11587 , Saudi Arabia

Abstract

Abstract In this article, we used a novel semi-analytical approach, named the optimal auxiliary function method (OAFM), to solve integro-differential equations (IDEs). The OAFM includes an auxiliary function and convergence control parameters, which expedite the convergence of the method. To apply the proposed method, some assumptions regarding small or large parameters in the problem are necessary. We present numerical outcomes acquired via the OAFM alongside those obtained from other numerical techniques in tables. Furthermore, we demonstrate the efficacy and ease of implementing the proposed method for various IDEs using 2D graphs.

Publisher

Walter de Gruyter GmbH

Subject

General Physics and Astronomy

Link

https://www.degruyter.com/document/doi/10.1515/phys-2022-0181/pdf

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