TITLE:
Numerical solutions of second order initial value problems of Bratu-type via optimal homotopy asymptotic method
AUTHORS:
Mohamed Abdalla Darwish, Bothayna S. Kashkari
KEYWORDS:
Bratu, optimal homotopy asymptotic method., numerical solution, Initial-value problem
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.4 No.2,
March
20,
2014
ABSTRACT: We present the optimal homotopy asymptotic method (OHAM) to find the numerical solution of the second order initial value problems of Bratu-type. We solve some examples to illustrate the validity and efficiency of the method.