Design of Gudermannian Neuroswarming to solve the singular Emden–Fowler nonlinear model numerically

Z Sabir, MAZ Raja, D Baleanu, K Cengiz, M Shoaib - Nonlinear Dynamics, 2021 - Springer
The current investigation is related to the design of novel integrated neuroswarming
heuristic paradigm using Gudermannian artificial neural networks (GANNs) optimized with …

Numerical results of Emden–Fowler boundary value problems with derivative dependence using the Bernstein collocation method

J Shahni, R Singh - Engineering with Computers, 2022 - Springer
In this paper, we propose an efficient numerical technique based on the Bernstein
polynomials for the numerical solution of the equivalent integral form of the derivative …

Fractional Bernstein series solution of fractional diffusion equations with error estimate

MH Alshbool, O Isik, I Hashim - Axioms, 2021 - mdpi.com
In the present paper, we introduce the fractional Bernstein series solution (FBSS) to solve
the fractional diffusion equation, which is a generalization of the classical diffusion equation …

A new operational matrix based on Boubaker polynomials for solving fractional Emden-Fowler problem

A Bencheikh, L Chiter - arXiv preprint arXiv:2202.09787, 2022 - arxiv.org
In this paper the singular Emden-Fowler equation of fractional order is introduced and a
computational method is proposed for its numerical solution. For the approximation of the …

Haar Wavelet Collocation Algorithm for the Numerical Solution of Volterra Integrodifferential Form of Emden-Fowler Type Equations

R Kumar, S Bakhtawar - Contemporary Mathematics, 2024 - ojs.wiserpub.com
This research investigates the application of non-dyadic Haar wavelets to analyze Emden-
Fowler equations, which find diverse uses across scientific domains. The central challenge …

[PDF][PDF] Fractional Bernstein Series Solution of Fractional Diffusion Equations with Error Estimate. Axioms 2021, 10, 6

MH Alshbool, O Isik, I Hashim - 2021 - academia.edu
In the present paper, we introduce the fractional Bernstein series solution (FBSS) to solve
the fractional diffusion equation, which is a generalization of the classical diffusion equation …

Touchard Series for Solving Volterra Integral Equations Form of the Lane-Emdan Equations

M Dilmi - Tehnički glasnik, 2023 - hrcak.srce.hr
Sažetak This study is concerned by the Collocation method for solving Volterra integral
equations form of the Lane-Emden type numerically through the so-called Touchard …

[HTML][HTML] Boubaker Operational Matrix Method for Fractional Emden-Fowler Problem

A Bencheikh, L Chiter - Журнал Сибирского федерального …, 2023 - cyberleninka.ru
In this paper the singular Emden-Fowler equation of fractional order is introduced and a
computational method is proposed for its numerical solution. For the approximation of the …

[PDF][PDF] NUMERICAL SOLUTIONS OF SINGULAR INITIAL VALUE PROBLEMS IN THE SECOND-ORDER ORDINARY DIFFERENTIAL EQUATIONS USING HYBRID …

MA Ramadan, AR Hadhoud, MR Ali - Journal of the Egyptian …, 2018 - journals.ekb.eg
Abstract Orthonormal Bernstein coupled with Block-Pulse Functions for integro-differential
form of the singular Emden-Fowler initial value problems, is considered. First, we introduce …

A new algorithm for solving the nonlinear Lane–Emden equations arising in astrophysics

MR Ali - SN Applied Sciences, 2019 - Springer
Hybrid orthonormal Bernstein and block-pulse function wavelet method for many
phenomena in mathematical physics and astrophysics is considered. We use a fundamental …