Perturbation–iteration theory is systematically generated for both linear and nonlinear
second-order differential equations and applied to Bratu-type equations. Different …

In this paper a Mexican Hat Wavelet based neural network is designed and applied for
solving the nonlinear Bratu type equation. This equation is widely used in fuel ignition …

For the Bratu problem, we transform it into a non-linear second order boundary value
problem, and then solve it by the Lie-group shooting method (LGSM). LGSM allows us to …

The aim of this manuscript is to investigate an accurate discretization method to solve the
one-, two-, and three-dimensional highly nonlinear Bratu-type problems. By discretization of …

In this paper, we propose a B-spline method for solving the one-dimensional Bratu's
problem. The numerical approximations to the exact solution are computed and then …

In this paper, an efficient procedure based on the neural networks methodology is presented
for the solution of the fuel ignition model in one dimension. The neural networks were …

This paper presents an efficient numerical method for solving the initial and boundary value
problems of the Bratu-type. In the proposed method, the Taylor wavelets are introduced, for …

In this study, a bio-inspired computing approach is developed to solve Bratu-type equations
arising in modeling of electrically conducting solids and various other physical phenomena …

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 …

In this paper, a new algorithm for the numerical solution of the Bratu-type and the Lane–
Emden problems with boundary conditions is presented. The proposed algorithm is based …