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 …

The purpose of this paper is to employ the Adomian Decomposition Method (ADM) and
Restarted Adomian Decomposition Method (RADM) with new useful techniques to resolve …

Khuri (A new approach to Bratu's problem, Applied Mathematics and Computation, 147
(2004), 131-136) applied Adomian decomposition method to study the problem, the …

In this paper, the restarted Adomian decomposition method (RADM) is applied to solve the
Bratu-type problem. The results are compared those of with those of the Adomian …

In this work, we apply the successive differentiation method for solving the nonlinear Bratu
problem and a variety of Bratu-type equations. We use the successive differentiation of any …

This paper investigates the properties of solution to the nonlinear Bratu's problem.
Approximate solution of the strongly nonlinear problem is obtained using the rapidly …

Purpose This paper aims to discuss a new form of the Adomian decomposition technique for
the numerical treatment of Bratu's type one-dimensional boundary value problems (BVPs) …

In this paper, we present a numerical technique for solving Bratu equation. It is based on the
Laplace Adomain decomposition method which produces an implicit equation in two …

The purpose of this paper is to propose a new numerical technique called the natural
decomposition method (NDM) for solving fractional Bratu's initial value problems (FBIVP) in …

In this paper, we present a framework to determine exact solutions of Bratu-type equations.
The algorithm rests mainly on the Adomian decomposition method. The proposed scheme is …