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Numerical solutions of second order initial value problems of Bratu-type via optimal homotopy asymptotic method
Department of Mathematics, Sciences Faculty for Girls, King Abdulaziz University, Jeddah, KSA
Department of Mathematics, Sciences Faculty for Girls, King Abdulaziz University, Jeddah, KSA
- 1 Department of Mathematics, Sciences Faculty for Girls, King Abdulaziz University, Jeddah, KSA
- 2 Department of Mathematics, Sciences Faculty for Girls, King Abdulaziz University, Jeddah, KSA
American Journal of Computational Mathematics·Volume 04 (2014)·Pages 47–54·Published 20 March 2014·DOI10.4236/ajcm.2014.42005
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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.
KeywordsBratuoptimal homotopy asymptotic method.numerical solutionInitial-value problem
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