Adaptation of homotopy-perturbation method for numeric–analytic solution of system of ODEs
A new reliable algorithm based on an adaptation of the standard Homotopy-Perturbation Method (HPM) is presented. The HPM is treated,for the first time, as an algorithm in a sequence of intervals (i.e., time step) for finding accurate approximate solutions of linear and nonlinear systems of ODEs. Nu...
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| Main Authors: | , |
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| 格式: | Article |
| 语言: | English |
| 出版: |
Elsevier
2008
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| 在线阅读: | http://irep.iium.edu.my/6638/ http://irep.iium.edu.my/6638/ http://irep.iium.edu.my/6638/1/Adaptation_of_homotopy-perturbation_method_for_numeric%E2%80%93analytic_solution_of_system_of_ODEs.pdf |
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| 总结: | A new reliable algorithm based on an adaptation of the standard Homotopy-Perturbation Method (HPM) is presented. The HPM is treated,for the first time, as an algorithm in a sequence of intervals (i.e., time step) for finding accurate approximate solutions of linear and nonlinear
systems of ODEs. Numerical comparisons between the multistage Homotopy-Perturbation Method (MHPM) and the available exact solution and the classical fourth-order Runge–Kutta (RK4) method reveal that the new technique is a promising tool for linear and nonlinear systems of ODEs. |
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