Work

An Efficient Approximate Method for Solving Bratu’s Boundary Value Problem

Year: 2024

Type: article

Abstract: We compute the numerical solution of Bratu’s boundary value problem (BVP). To achieve this, we apply a new and useful approach to solve Bratu’s boundary value problem by using Green’s function and a new integral operator, along with a modified version of the Adomian decomposition method. This process produces solutions that call for the boundary conditions to be applied explicitly. Statistical results demonstrating the robustness and efficiency of the proposed scheme are included. An exact and approximate solution comparison is made with known results. The quantitative outcomes showcase our novel approach’s high numerical precision and consistency across a range of parameter configurations.

Source: International Journal of Power Electronics and Drive Systems/International Journal of Electrical and Computer Engineering

DOI: 10.11591/ijece.v14i5.pp5738-5743

Authors: Kamel Al-Khaled, Mahmood Shareef Ajeel, Issam Abu-Irwaq, Hala Al-Khalid

Institutions: Jordan University of Science and Technology, Western Michigan University

Language: English

Topic: Differential Equations and Boundary Problems

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4401453419

FWCI: 1.562

Cites:

Cited by: 2

Related to: 10