Finite difference numerical solution of Troesch's problem on a piecewise uniform Shishkin mesh

H Temimi, M Ben-Romdhane, AR Ansari, GI Shishkin - Calcolo, 2017 - Springer
Finding numerical solutions to the Troesch's problem is known to be challenging, especially
when the sensitivity parameter λ λ is large. In this manuscript, we propose a numerical …

Laguerre wavelet method for solving Troesch equation

S Gümgüm - Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019 - dergipark.org.tr
The purpose of this paper is to illustrate the use of the Laguerre wavelet method in the
solution of Troesch's equation, which is a stiff nonlinear equation. The unknown function is …

A handy approximation for a mediated bioelectrocatalysis process, related to Michaelis-Menten equation

U Filobello-Nino, H Vazquez-Leal, B Benhammouda… - SpringerPlus, 2014 - Springer
Abstract In this article, Perturbation Method (PM) is employed to obtain a handy approximate
solution to the steady state nonlinear reaction diffusion equation containing a nonlinear term …

Troesch's problem solved by Sinc methods

M Youssef, G Baumann - Mathematics and Computers in Simulation, 2019 - Elsevier
In this paper, we apply Sinc methods to compute the approximate solution of Troesch's
problem which is a highly sensitive, singular, and nonlinear boundary problem. The …

[PDF][PDF] An algorithm for numerical solution of differential equations using harmony search and neural networks

N Yadav, TT Ngo, JH Kim - J. Appl. Anal. Comput, 2022 - jaac-online.com
In this article, an algorithm based on artificial neural networks (ANN) and harmony search
algorithm (HSA) is presented for the numerical solution of ordinary and partial differential …

[HTML][HTML] A logarithmic finite difference Method for Troesch's problem

MS Ismail, KS Al-Basyoni - Applied Mathematics, 2018 - scirp.org
The aim of this paper is to derive a numerical scheme for Troesch's problem and to
overcome the difficulty which faces the existing numerical methods when considering the …

Numerical solution of Troesch's problem using Christov rational functions

A Saadatmandi, T Abdolahi-Niasar - Computational Methods for …, 2015 - cmde.tabrizu.ac.ir
We present a collocation method to obtain the approximate solution of Troesch's problem
which arises in the confinement of a plasma column by radiation pressure and applied …

[PDF][PDF] On a practical methodology for solving BVP problems by using a modified version of picard method

U Filobello-Nino, H Vazquez-Leal… - Applied …, 2016 - digitalcommons.aaru.edu.jo
The aim of this paper is to propose a modified version of Picard Method, the Boundary Value
Problems Picard Method (BVPP), which allows the solution of BVP problems, with few …

A novel computational method for solving Troesch's problem with high-sensitivity parameter

M Ben-Romdhane, H Temimi - International Journal for …, 2017 - Taylor & Francis
Troesch's problem is a nonlinear boundary value problem arising in the confinement of a
plasma column by radiation pressure, and also in the theory of gas porous electrodes. It is …

Nonlinearities distribution Laplace transform-homotopy perturbation method

U Filobello-Nino, H Vazquez-Leal, B Benhammouda… - SpringerPlus, 2014 - Springer
This article proposes non-linearities distribution Laplace transform-homotopy perturbation
method (NDLT-HPM) to find approximate solutions for linear and nonlinear differential …