Taylor series solution for Lane–Emden equation

JH He, FY Ji - Journal of Mathematical Chemistry, 2019 - Springer
Taylor series solution for Lane–Emden equation Page 1 Journal of Mathematical Chemistry
(2019) 57:1932–1934 https://doi.org/10.1007/s10910-019-01048-7 ORIGINAL PAPER Taylor …

A review on a class of second order nonlinear singular BVPs

AK Verma, B Pandit, L Verma, RP Agarwal - Mathematics, 2020 - mdpi.com
Several real-life problems are modeled by nonlinear singular differential equations. In this
article, we study a class of nonlinear singular differential equations, explore its various …

Bernoulli wavelets functional matrix technique for a system of nonlinear singular Lane Emden equations

S Kumbinarasaiah, G Manohara… - … and Computers in …, 2023 - Elsevier
In the present paper, we developed the functional matrix of integration via Bernoulli wavelets
and generated a competent numerical scheme to solve the nonlinear system of singular …

Tau and Galerkin operational matrices of derivatives for treating singular and Emden–Fowler third-order-type equations

WM Abd-Elhameed, HM Ahmed - International Journal of Modern …, 2022 - World Scientific
In this paper, our target is to implement and analyze numerical algorithms for the numerical
solutions of initial and boundary third-order singular-type equations, and in particular the …

Numerical algorithm for solution of the system of Emden–Fowler type equations

R Singh, G Singh, M Singh - International Journal of Applied and …, 2021 - Springer
An efficient numerical approach for solving the system of the Lane–Emden–Fowler type
equations with boundary conditions is proposed. To avoid singular behavior, we use the …

A neuro-evolution heuristic using active-set techniques to solve a novel nonlinear singular prediction differential model

Z Sabir, MAZ Raja, T Botmart, W Weera - Fractal and Fractional, 2022 - mdpi.com
In this study, a novel design of a second kind of nonlinear Lane–Emden prediction
differential singular model (NLE-PDSM) is presented. The numerical solutions of this model …

Spectral treatment of high-order Emden–Fowler equations based on modified Chebyshev polynomials

WM Abd-Elhameed, MS Al-Harbi, AK Amin… - Axioms, 2023 - mdpi.com
This paper is devoted to proposing numerical algorithms based on the use of the tau and
collocation procedures, two widely used spectral approaches for the numerical treatment of …

Application of a Novel Collocation Approach for Simulating a Class of Nonlinear Third‐Order Lane–Emden Model

W Adel, Z Sabir, H Rezazadeh… - Mathematical Problems …, 2022 - Wiley Online Library
The present study aims to design a mathematical system based on the Lane–Emden third‐
order pantograph differential model by using the general forms of the pantograph as well as …

An innovative fourth-order numerical scheme with error analysis for Lane-Emden-Fowler type systems

N Sahoo, R Singh, H Ramos - Numerical Algorithms, 2024 - Springer
In this paper, we develop a novel higher-order compact finite difference scheme for solving
systems of Lane-Emden-Fowler type equations. Our method can handle these problems …

A quartic trigonometric B-spline collocation method for a general class of nonlinear singular boundary value problems

P Roul, T Kumari - Journal of Mathematical Chemistry, 2022 - Springer
This study deals with the numerical solution of a general class of nonlinear singular
boundary value problems (SBVPs). Firstly, we modify the original model problem at the …