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

被引：3

作者：

Nawaz, Rashid ^{[4
]}

Sumera

Zada, Laiq ^{[5
]}

Ayaz, Muhammad ^{[5
]}

Ahmad, Hijaz ^{[1
,2
,3
]}

Awwad, Fuad A. ^{[6
]}

Ismail, Emad A. A. ^{[6
]}

机构：

[1] Near East Univ, Operat Res Ctr Healthcare, Near East Blvd,Mersin 10, TR-99138 Nicosia, Turkiye

[2] Lebanese Amer Univ, Dept Comp Sci & Math, Byblos, Lebanon

[3] Int Telematic Univ Uninettuno, Sect Math, Corso Vittorio Emanuele II,39, I-00186 Rome, Italy

[4] Univ South Australia, UniSa STEM, Adelaide, Australia

[5] Abdul Wali Khan Univ Mardan Khyber Pakhtunkhwa, Dept Math, Mardan, Pakistan

[6] King Saud Univ, Coll Business Adm, Dept Quantitat Anal, POB 71115, Riyadh 11587, Saudi Arabia

来源：

OPEN PHYSICS | 2023年 / 21卷 / 01期

关键词：

optimal auxiliary function method; exact solutions; Fredholm integro-differential equations; NUMERICAL-SOLUTION; MESHLESS METHOD; SYSTEMS;

D O I：

10.1515/phys-2022-0181

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：7

共 34 条

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