An Effective Approximation Algorithm for Second-Order Singular Functional Differential Equations

被引：9

作者：

Izadi, Mohammad ^{[1
]}

Srivastava, Hari M. ^{[2
,3
,4
,5
]}

Adel, Waleed ^{[6
,7
]}

机构：

[1] Shahid Bahonar Univ Kerman, Fac Math & Comp, Dept Appl Math, Kerman 7616914111, Iran

[2] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada

[3] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan

[4] Azerbaijan Univ, Dept Math & Informat, 71 Jeyhun Hajibeyli St, AZ-1007 Baku, Azerbaijan

[5] Int Telemat Univ Uninettuno, Sect Math, I-00186 Rome, Italy

[6] Mansoura Univ, Fac Engn, Dept Math & Engn Phys, Mansoura 35516, Egypt

[7] Univ Francaise Egypte, Fac Engn, Ismailia Desert Rd, Cairo, Egypt

来源：

AXIOMS | 2022年 / 11卷 / 03期

关键词：

Bessel polynomials; collocation points; differential-difference equation; functional differential equation; singular Lane-Emden type equation; GENERATING-FUNCTIONS; MODEL;

D O I：

10.3390/axioms11030133

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this research study, a novel computational algorithm for solving a second-order singular functional differential equation as a generalization of the well-known Lane-Emden and differential-difference equations is presented by using the Bessel bases. This technique depends on transforming the problem into a system of algebraic equations and by solving this system the unknown Bessel coefficients are determined and the solution will be known. The method is tested on several test examples and proves to provide accurate results as compared to other existing methods from the literature. The simplicity and robustness of the proposed technique drive us to investigate more of their applications to several similar problems in the future.

引用

页数：14

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