Application of He’s homotopy perturbation method for non-linear system of second-order boundary value problems
2008; Elsevier BV; Volume: 10; Issue: 3 Linguagem: Inglês
10.1016/j.nonrwa.2008.02.032
ISSN1878-5719
AutoresAbbas Saadatmandi, Mehdi Dehghan, Ali Eftekhari,
Tópico(s)Iterative Methods for Nonlinear Equations
ResumoA 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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