An efficient recursive technique with Padé approximation for a kind of Lane–Emden type equations emerging in various physical phenomena

M Singh - Mathematics and Computers in Simulation, 2025 - Elsevier
The study numerically examined a class of nonlinear singular differential problems known
as the Lane–Emden differential equation, which emerges in numerous real-world situations …

Advanced Variational Iteration Method to Solve Two Different Models of Third‐Order Nonlinear Emden–Fowler‐Type Equations

V Kumar Sinha, P Maroju - Mathematical Methods in the …, 2024 - Wiley Online Library
In this research, we propose an advanced variational iteration method by employing the
Adomian polynomials with the variational iteration method to solve the system of third‐order …

An efficient recursive technique with Padé approximation for a kind of Lane–Emden type equations emerging in various physical phenomena

Jyoti, M Singh - 2025 - dl.acm.org
The study numerically examined a class of nonlinear singular differential problems known
as the Lane–Emden differential equation, which emerges in numerous real-world situations …

[PDF][PDF] Computational Techniques for Accurate Solutions of Astrophysical Problems Using Transform-Based Collocation

AO Adewumi, SO Akindeinde, RS Lebelo - International Journal of …, 2024 - wseas.com
This study applies three advanced techniques based on transforms to find approximate
solutions to the Lane-Emden type equation, which is often encountered in mathematical …

A numerical approach to variational iteration method for system of nonlinear ordinary differential equations

VK Sinha, P Maroju - AIP Conference Proceedings, 2024 - pubs.aip.org
This paper propose a new application of the variational iteration method (VIM) by using the
Adomian polynomial for solving the nonlinear systems of ordinary differential equations. This …

[PDF][PDF] AN EFFECTIVE NUMERICAL ALGORITHM FOR SOLVING THE LANE-EMDEN TYPE EQUATION BASED ON THE VARIATIONAL ITERATION METHOD …

VK Sinha, P Maroju - Journal of Applied Analysis & Computation, 2025 - jaac-online.com
This research introduces an effective numerical algorithm to determine the numerical
solution of the Lane-Emden equation. This method is based on the variational iteration …