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Modified Numerov method for solving system of second-order boundary-value problems

  • Eisa A. Al-Said
  • Muhammad Aslam Noor
Article
  • 94 Downloads

Abstract

We introduce and discuss a new numerical method for solving system of second order boundary value problems, where the solution is required to satisfy some extra continuity conditions on the subintervals in addition to the usual boundary conditions. We show that the present method gives approximations which are better than that produced by other collocation, finite difference and spline methods. Numerical example is presented to illustrate the applicability of the new method.

AMS Mathematics Subject Classification

65L12 49J40 

Keywords and phrases

Boundary problems obstacle problems finite difference method 

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Copyright information

© Korean Society for Computational and Applied Mathematics 2001

Authors and Affiliations

  1. 1.Department of MathematicsKing Saud UniversityRiyadhSaudi Arabia
  2. 2.Department of Mathematics and StatisticsDalhousie UniversityHalifaxCanada

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