analytic approximate solution for the bratu's problem by optimal homotopy analysis method

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ID: 251794
2013
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Abstract
In This paper, we present analytic approximate solutions for Bratu's problem with high accuracy for different values of $lambda$. We solve this nonlinear problem without any approximations or transformation in the problem and we successfully obtain the two branches of solutions for different values $lambda$ using homotopy analysis method. A new efficient approach is proposed to obtain the optimal value of convergence controller parameter $hbar$ to guarantee the convergence of the obtained series solution.
Reference Key
hassan2013communicationsanalytic Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Hany N. Hassan;Mourad S. Semary
Journal population studies
Year 2013
DOI
10.5899/2013/cna-00139
URL
http://www.ispacs.com/journals/cna/2013/cna-00139/article.pdf
Keywords
quantitative methods

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