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 paper is devoted to the construction of certain polynomials related to Lucas
polynomials, namely, modified Lucas polynomials. The constructed modified Lucas …

We compute the numerical solution of the Bratu's boundary value problem (BVP) on a
Banach space setting. To do this, we embed a Green's function into a new two-step iteration …

In this paper, we propose a numerical approach for solving Troesch's problem which arises
in the confinement of a plasma column by radiation pressure. It is also an inherently …

The aim of this study is obtain accurate numerical results for the Troesch and Duffing
equations by using Taylor wavelets. Orthonormality property of these polynomials is an …

We propose two numerical techniques for solving Bratu-like equations arising in the
electrospinning and vibration-electrospinning process. Due to the presence of parameter δ δ …

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 …

Homotopy perturbation method (HPM) is an effective method for solving nonlinear
differential equations. In this paper, some modifications of this method has been proposed to …

This paper introduces a novel approach for solving second-order nonlinear differential
equations, with a primary focus on the Bratu problem, which holds significant importance in …

The aim of this study is to solve the Bratu and Duffing equations by using the Laguerre
wavelet method. The solution of these nonlinear equations is approximated by Laguerre …