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On Solution of Two Point Second Order Non Linear Boundary Value Problems using Semi-Analytic Method | ||
| Journal of Al-Qadisiyah for Computer Science and Mathematics | ||
| Article 1, Volume 3, Issue 2, 2011, Pages 1-11 PDF (0 K) | ||
| Authors | ||
| Khalid. M. M. Al-Abrahemee; Luma. N. M.Tawfiq | ||
| Abstract | ||
| In this paper a new method is proposed for the solution of two-point second order boundary-value problems( TPBVP ) ,that is, we interested in constructing polynomial solutions of two points second order boundary value problems for ordinary differential equation. A semi-analytic technique using two-point osculatory interpolation with the fit equal numbers of derivatives at the end points of an interval [0,1] is compared with conventional methods via a series of examples and is shown to be that seems to converge faster and more accurately than the conventional methods and generally superior, particularly for problems involving nonlinear equations and/or boundary conditions | ||
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