method a b s t r a c t In this paper, based on homotopy perturbation method (HPM) and reproducing kernel method (RKM), a new method is presented for solving nonlinear systems of second order boundary value problems (BVPs). HPM is based on the use of traditional perturbation method and homotopy tech
Application of He’s homotopy perturbation method for non-linear system of second-order boundary value problems
✍ Scribed by Abbas Saadatmandi; Mehdi Dehghan; Ali Eftekhari
- Book ID
- 108226064
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 590 KB
- Volume
- 10
- Category
- Article
- ISSN
- 1468-1218
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📜 SIMILAR VOLUMES
## a b s t r a c t The B-spline method is used for the numerical solution of a linear system of second-order boundary value problems. Two examples are considered for the numerical illustration and the method is also compared with the method proposed by J. Lu [J. Lu, Variational iteration method for
In this paper, the solution of Cauchy reaction-diffusion problem is presented by means of the homotopy perturbation method. Reaction-diffusion equations have special importance in engineering and sciences and constitute a good model for many systems in various fields. Application of homotopy perturb