Numerical solution of doubly singular nonlinear systems using neural networks-based integrated intelligent computing

MAZ Raja, J Mehmood, Z Sabir, AK Nasab… - Neural Computing and …, 2019 - Springer
In this paper, a bio-inspired computational intelligence technique is presented for solving
nonlinear doubly singular system using artificial neural networks (ANNs), genetic algorithms …

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 …

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 …

Haar wavelet collocation method for solving singular and nonlinear fractional time-dependent Emden–Fowler equations with initial and boundary conditions

A Mohammadi, N Aghazadeh, S Rezapour - Mathematical Sciences, 2019 - Springer
In this paper, we have applied an iterative method to the singular and nonlinear fractional
partial differential of Emden–Fowler equations types. Haar wavelets operational matrix of …

Optimal homotopy analysis method for the non-isothermal reaction–diffusion model equations in a spherical catalyst

R Singh - Journal of Mathematical Chemistry, 2018 - Springer
Abstract We consider the Lane–Emden boundary value problems which appear in chemical
applications, biochemical applications, and scientific disciplines. The Lane–Emden problem …

An efficient numerical technique for Lane–Emden–Fowler boundary value problems: Bernstein collocation method

J Shahni, R Singh - The European Physical Journal Plus, 2020 - Springer
In this paper, we propose an efficient numerical technique for numerical solutions of the
equivalent integral form of Emden–Fowler type boundary value problems (BVPs), which …

Investigation of singular ordinary differential equations by a neuroevolutionary approach

W Waseem, M Sulaiman, P Kumam, M Shoaib… - Plos one, 2020 - journals.plos.org
In this research, we have investigated doubly singular ordinary differential equations and a
real application problem of studying the temperature profile in a porous fin model. We have …

Laguerre wavelet method for solving Thomas–Fermi type equations

J Shahni, R Singh - Engineering with Computers, 2022 - Springer
An efficient numerical algorithm based on the Laguerre wavelets collocation technique for
numerical solutions of a class of Thomas–Fermi boundary value problems, which arises in …

A new spline algorithm for solving non-isothermal reaction diffusion model equations in a spherical catalyst and spherical biocatalyst

MP Alam, T Begum, A Khan - Chemical Physics Letters, 2020 - Elsevier
In this paper, we discuss a higher order quartic trigonometric B-spline collocation method on
a uniform mesh for solving two special models of Lane-Emden boundary value problems …