A brief survey of the properties and different treatments of the one-dimensional (1D) and
(2D) Bratu problems is presented. Different iterative treatments of the resulting nonlinear …

Purpose–The paper aims to find an accurate analytic solution (series solution) for the
micropolar flow in a porous channel with mass injection for different values of Reynolds …

In this article, the one-dimensional non-linear Bratu's boundary value problem is solved via
a novel approach that combines Green's function and fixed point iterative schemes, such as …

This study aims to develop, analyze and implement an efficient method for approximating
two-point boundary value problems of ordinary differential equations. The method contains …

In this study, a high-order compact finite difference method is used to solve boundary value
problems with Robin boundary conditions. The norm is to use a first-order finite difference …

In this paper, a numerical solution to the Troesch problem using a memetic computing
technique is proposed. In this regard, a linear combination of Gaussian radial basis …

The homotopy perturbation method (HPM) is employed to obtain an approximate solution for
the nonlinear differential equation which describes Troesch's problem. In contrast to other …

The aim of the present work is to introduce an effective numerical method for solving two-
point nonlinear boundary value problems. The proposed iterative scheme, called the …

A numerical scheme based on differential quadrature methods, is introduced for solving
Bratu problem. The problem is firstly reduced to an iterative one. Then, both of differential …

The nonlinear Bratu's boundary value problem arises in a large variety of application areas
such as solid fuel ignition model of thermal combustion, radiative heat transfer, thermal …