J. P. Boyd, “An Analytical and Numerical Study of the Two-Dimentional Bratu Equation,” Journal of Scientific Computing, Vol. 1, No. 2, 1986, pp. 183-206. doi:10.1007/BF01061392
has been cited by the following article:
TITLE: New Improved Variational Homotopy Perturbation Method for Bratu-Type Problems
AUTHORS: Olusola Ezekiel Abolarin
KEYWORDS: Bratu-Type Problem; Variational Iteration Method; Homotopy Perturbation Method; New Improved Variational Homotopy Perturbation Method; Boundary Value Problems; Initial Value Problems
JOURNAL NAME: American Journal of Computational Mathematics, Vol.3 No.2, June 24, 2013
ABSTRACT: This research paper deals with the boundary and initial value problems for the Bratu-type model by using the New Improved Variational Homotopy Perturbation Method. The New Method does not require discritization, linearization or any restrictive assumption of any form in providing analytical or approximate solutions to linear and nonlinear equation without the integral related with nonlinear term. Theses virtues make it to be reliable and its efficiency is demonstrated with numerical examples.