Convergence and error analysis of a spectral collocation method for solving system of nonlinear Fredholm integral equations of second kind

SU Khan, I Ali - Computational and Applied Mathematics, 2019 - Springer
This paper presents a new numerical approximation method to solve a system of nonlinear
Fredholm integral equations of second kind. Spectral collocation method and their …

A novel algorithm for the computation of systems containing different types of integral and integro‐differential equations

NS Khan, L Ali, R Ali, P Kumam, P Thounthong - Heat Transfer, 2021 - Wiley Online Library
An easy and efficient technique is applied to get a reliable analytic approximate solution of
linear and nonlinear integral and integro‐differential equations arising in the phenomena of …

Deconstructing electrode pore network to learn transport distortion

A Mistry, PP Mukherjee - Physics of Fluids, 2019 - pubs.aip.org
The central premise of porous electrodes is to make more surface area available for
reactions. However, the convoluted pore network of such reactors exacerbates the transport …

A generic numerical method for treating a system of Volterra integro-differential equations with multiple delays and variable bounds

ÖK Kürkçü, M Sezer - Engineering Computations, 2024 - emerald.com
Purpose This study aims to treat a novel system of Volterra integro-differential equations with
multiple delays and variable bounds, constituting a generic numerical method based on the …

A procedure for factoring and solving nonlocal boundary value problems for a type of linear integro-differential equations

E Providas, IN Parasidis - Algorithms, 2021 - mdpi.com
The aim of this article is to present a procedure for the factorization and exact solution of
boundary value problems for a class of n-th order linear Fredholm integro-differential …

Solutions of nonlinear real world problems by a new analytical technique

L Ali, S Islam, T Gul, MA Khan, E Bonyah - Heliyon, 2018 - cell.com
Here a new analytical scheme is presented to solve nonlinear boundary value problems
(BVPs) of higher order occurring in nonlinear phenomena. This method is called second …