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Finite Difference Method for Solving a System of Third-Order Boundary Value Problems

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  • Muhammad Aslam Noor
  • Eisa Al-Said
  • Khalida Inayat Noor

Abstract

We develop a new-two-stage finite difference method for computing approximate solutions of a system of third-order boundary value problems associated with odd-order obstacle problems. Such problems arise in physical oceanography (Dunbar (1993) and Noor (1994), draining and coating flow problems (E. O. Tuck (1990) and L. W. Schwartz (1990)), and can be studied in the framework of variational inequalities. We show that the present method is of order three and give numerical results that are better than the other available results. Numerical example is presented to illustrate the applicability and efficiency of the new method.

Suggested Citation

  • Muhammad Aslam Noor & Eisa Al-Said & Khalida Inayat Noor, 2012. "Finite Difference Method for Solving a System of Third-Order Boundary Value Problems," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-10, April.
    • Handle: RePEc:hin:jnljam:351764
    DOI: 10.1155/2012/351764
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    Cited by:

    1. Dang, Quang A. & Dang, Quang Long & Ngo, T. Kim Quy, 2024. "Numerical methods of fourth, sixth and eighth orders convergence for solving third order nonlinear ODEs," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 221(C), pages 397-414.

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