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In this paper, the classical fourth-order Runge-Kutta method and Heun’s method are applied to initial value problems for system of ordinary differential equations in nonlinear cases which we reach it by Painleve analysis, focusing our interest in Ito coupled nonlinear partial differential system. The equations are solved by scheme of one step methods. Numerical results for the velocity in three dimensions are obtained and reported graphically for various temperatures to show interesting aspects of the solution.
Acta Applicandae Mathematicae – Springer Journals
Published: Oct 10, 2008
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