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On Solution of Special Case of Two Point Second Order Boundary Value Problems By using Semi-Analytic Method | ||
| Journal of Al-Qadisiyah for Computer Science and Mathematics | ||
| Article 1, Volume 2, Issue 1, 2010, Pages 1-12 PDF (0 K) | ||
| Authors | ||
| Luma. N. M.Tawfiq; Khalid. M. M. Al-Abrahemee | ||
| Abstract | ||
| In this paper a new method is proposed for the solution of special case of two-point second order boundary-value problems( TPBVP ) ,that is we concerned with constructing polynomial solutions to two point 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 Variations on a problems . Also we introduce some general observations about control of a residual and control of the true error and we prove, there is a more useful connection between scaled residual and true error. | ||
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