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

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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.

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Authors and Affiliations

  1. Department of Mathematics, King Saud University, P.O. Box 2455, 11451, Riyadh, Saudi Arabia

    Eisa A. Al-Said

  2. Department of Mathematics and Statistics, Dalhousie University, B3H 3J5, Halifax, N.S., Canada

    Muhammad Aslam Noor

Authors
  1. Eisa A. Al-Said
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  2. Muhammad Aslam Noor
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Correspondence to Eisa A. Al-Said.

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Al-Said, E.A., Noor, M.A. Modified Numerov method for solving system of second-order boundary-value problems. Korean J. Comput. & Appl. Math. 8, 129–136 (2001). https://doi.org/10.1007/BF03011627

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  • DOI: https://doi.org/10.1007/BF03011627

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