A comparative study of numerical methods for solving the generalized Ito system | ||||
Journal of the Egyptian Mathematical Society | ||||
Volume 22, Issue 1, 2014, Page 102-114 PDF (3.86 MB) | ||||
Document Type: Original Article | ||||
DOI: 10.1016/j.joems.2013.06.008 | ||||
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Authors | ||||
M.A. Mohamed1; M.Sh. Torky2 | ||||
1Faculty of Science, Suez Canal University Ismailia, Egypt | ||||
2The High Institute of Administration and Computer, Port Said University, Egypt | ||||
Abstract | ||||
This paper is devoted to the numerical comparison of methods applied to solve the generalized Ito system. Four numerical methods are compared, namely, the Laplace decomposition method (LDM), the variation iteration method (VIM), the homotopy perturbation method (HPM) and the Laplace decomposition method with the Pade approximant (LD–PA) with the exact solution. | ||||
Keywords | ||||
The variation iteration method; The Laplace decomposition method; The Pade approximation; Homotopy perturbation method; The generalized Ito system | ||||
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