Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
838977 | Nonlinear Analysis: Real World Applications | 2009 | 11 Pages |
Abstract
A homotopy perturbation method (HPM) is proposed to solve non-linear systems of second-order boundary value problems. HPM yields solutions in convergent series forms with easily computable terms, and in some cases, yields exact solutions in one iteration. Moreover, this technique does not require any discretization, linearization or small perturbations and therefore reduces the numerical computations a lot. Some numerical results are also given to demonstrate the validity and applicability of the presented technique. The results reveal that the method is very effective, straightforward and simple.
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Authors
Abbas Saadatmandi, Mehdi Dehghan, Ali Eftekhari,