Staff Members - Benha University
Analytic approximate solution for the Bratu’s problem by optimal homotopy analysis method
Communications in Numerical Analysis • 2013
Publication Information
Authors
H.N. Hassan, M.S. Semary
Keywords
Not Available
Journal
Communications in Numerical Analysis
Publisher
Not Available
Volume
2013
Issue
Not Available
Pages
1-14
publication.type
International
Paper Link
Not Available
Supplementary Materials
Not Available
Abstract
In This paper, we present analytic approximate solutions for Bratu's problem with
high accuracy for different values of λ. 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 λ using homotopy analysis method. A new efficient
approach is proposed to obtain the optimal value of convergence controller parameter ℏ to
guarantee the convergence of the obtained series solution
high accuracy for different values of λ. 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 λ using homotopy analysis method. A new efficient
approach is proposed to obtain the optimal value of convergence controller parameter ℏ to
guarantee the convergence of the obtained series solution