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A study on approximate solutions and accuracy of parallel algorithms for solving system of ODEs

The purpose of this paper is, to study the numerical computation of system of ordinary differential equations of first order with initial value problems and all steps of parallel algorithms of R.K. methods are tested in MATLAB (2009a) [2]. In this part, we use four classical RK2 order methods to introduce the basic ideas associated with initial value problems for solving system of ODEs of two or more equations. At the end we make a comparison between these numerical methods for approximate solutions and numerical errors. Numerical examples are given to illustrate the computational accuracy and robustness of these parallel algorithms.