Adaptation of homotopy-perturbation method for numeric–analytic solution of system of ODEs

• Main Authors: Chowdhury, Md. Sazzad Hossien, Hashim, Ishak
• Format: Article
• Language: English
• Published: Elsevier 2008
• Subjects: QA76 Computer software
• Online Access: http://irep.iium.edu.my/6638/1/Adaptation_of_homotopy-perturbation_method_for_numeric%E2%80%93analytic_solution_of_system_of_ODEs.pdf; http://irep.iium.edu.my/6638/; http://www.journals.elsevier.com/physics-letters-a/
• Institution: Universiti Islam Antarabangsa Malaysia

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.