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J. P. Boyd, “Chebyshev Polynomial Expansions for Simultaneous Approximation of Two Branches of a Function with Application to the One-Dimentional Bratu Equation,” Applied Mathematics and Computation, Vol. 142, 2003, pp. 189-200. doi:10.1016/S0096-3003(02)00345-4

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.