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

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

Published:2020-11-20 Issue:1 Volume:18 Page:770-778
ISSN:2391-5471
Container-title:Open Physics
language:
Short-container-title:

Author:

Abdelkawy Mohamed A.¹²,Sabir Zulqurnain³,Guirao Juan L. G.⁴,Saeed Tareq⁵

Affiliation:

1. Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University, Riyadh, Saudi Arabia

2. Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt

3. Department of Mathematics and Statistics, Hazara University Mansehra, Mansehra, Pakistan

4. Department of Applied Mathematics and Statistics, Technical University of Cartagena, Hospital de Marina 30203, Cartagena, Spain

5. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, 80203, Jeddah 21589, Saudi Arabia

Abstract

AbstractThe 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.

Publisher

Walter de Gruyter GmbH

Subject

General Physics and Astronomy

Link

https://www.degruyter.com/document/doi/10.1515/phys-2020-0185/pdf

Reference108 articles.

1. Shifted Jacobi spectral–Galerkin method for solving hyperbolic partial differential equations;Comput Math Appl,2019

2. Combined effects in nonlinear problems arising in the study of anisotropic continuous media;Nonlinear Anal Theory Methods Appl,2012

3. Design of neuro-swarming-based heuristics to solve the third-order nonlinear multi-singular Emden–Fowler equation;Eur Phys J Plus,2020

4. Solving singularly perturbed differential-difference equations arising in science and engineering with Fibonacci polynomials;Res Phys,2013

5. Trigonometric interpolation of empirical and analytic functions;J Math Phys,1938

Cited by 48 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Solution of Lane Emden–Fowler equations by Taylor series method;Journal of Umm Al-Qura University for Applied Sciences;2023-12-15

2. Analysis of perturbation factors and fractional order derivatives for the novel singular model using the fractional Meyer wavelet neural networks;Chaos, Solitons & Fractals: X;2023-12

3. Identification of a spatial distribution threshold for the development of a solar radiation model using deep neural networks;Environmental Research Letters;2023-09-28

4. An efficient new numerical algorithm for solving Emden–Fowler pantograph differential equation using Laguerre polynomials;Journal of Computational Science;2023-09

5. LightGBM model applied in the teaching course of Civic Education integrating red culture;Applied Mathematics and Nonlinear Sciences;2023-08-11