Semi-Analytic Method for Solving High Order Ordinary Differential Equations with Initial Condition | ||
| Al-Mustansiriyah Journal of Science | ||
| Article 1, Volume 23, Issue 1, January 2012, Pages 75-86 | ||
| Author | ||
| Luma N. M. Tawfiq | ||
| Abstract | ||
| The aim of this paper is to present method for solution high order ordinary differential equations with initial condition using semi-analytic technique with constructing polynomial solutions. The original problem is concerned using two-point osculatory interpolation with the fit equal numbers of derivatives at the end points of an interval [0 , 1] and give example illustrate suggested method and accuracy, easily implemented . The accuracy of the method is confirmed by compared with conventional methods (Runga-Kutta (RK4), RK-Butcher ,Differential Transformation method (DTM) ) . The sensitivity of solutions high order ordinary differential equations with initial condition is discussed . | ||
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