On Solution of Special Case of Two Point Second Order Boundary Value Problems By using Semi-Analytic Method

  • Luma. N. M.Tawfiq Department of Mathematics, College of Education-Ibn Al- Haitham,University of Baghdad .
  • Khalid. M. M. Al-Abrahemee Department of Mathematics, College of Education-Ibn Al- Haitham,University of Baghdad .

Abstract

In this paper a new method is proposed for the solution of special case of twopoint
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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Published
2017-09-07
How to Cite
N. M.Tawfiq, L., & M. M. Al-Abrahemee, K. (2017). 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, 2(1), 24-34. Retrieved from https://qu.edu.iq/journalcm/index.php/journalcm/article/view/209
Section
Math Articles