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New Improved Variational Homotopy Perturbation Method for Bratu-Type Problems
Department of Industrial Mathematics, Landmark University, Omu Aran, Nigeria
- 1 Department of Industrial Mathematics, Landmark University, Omu Aran, Nigeria
American Journal of Computational Mathematics·Volume 03 (2013)·Pages 110–113·Published 17 June 2013·DOI10.4236/ajcm.2013.32018
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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.
KeywordsBratu-Type ProblemVariational Iteration MethodHomotopy Perturbation MethodNew Improved Variational Homotopy Perturbation MethodBoundary Value ProblemsInitial Value Problems
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