Numerical investigations of a new singular second-order nonlinear coupled functional Lane-Emden model

被引：50

作者：

Abdelkawy, Mohamed A. ^{[2
,3
]}

Sabir, Zulqurnain ^{[4
]}

Guirao, Juan L. G. ^{[1
]}

Saeed, Tareq ^{[5
]}

机构：

[1] Tech Univ Cartagena, Hosp Marina, Dept Appl Math & Stat, Cartagena 30203, Spain

[2] Imam Mohammad Ibn Saud Islamic Univ, Coll Sci, Dept Math & Stat, Riyadh, Saudi Arabia

[3] Beni Suef Univ, Fac Sci, Dept Math, Bani Suwayf, Egypt

[4] Hazara Univ Mansehra, Dept Math & Stat, Mansehra, Pakistan

[5] King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah 80203, Saudi Arabia

来源：

OPEN PHYSICS | 2020年 / 18卷 / 01期

关键词：

coupled Lane-Emden; nonlinear; functional differential model; singular; spectral collocation scheme; exact solutions; DIFFERENTIAL-DIFFERENCE EQUATIONS; OPERATIONAL MATRIX; APPROXIMATION; ALGORITHM;

D O I：

10.1515/phys-2020-0185

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The present study aims to design a second-order nonlinear Lane-Emden coupled functional differential model and numerically investigate by using the famous spectral collocation method. For validation of the newly designed model, three dissimilar variants have been considered and formulated numerically by applying a famous spectral collocation method. Moreover, a comparison of the obtained results with the exact/true results endorses the effectiveness and competency of the newly designed model, as well as the present technique.

引用

页码：770 / 778

页数：9

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