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A 4-Point Block Method for Solving Higher Order Ordinary Differential Equations Directly

Author

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  • Nazreen Waeleh
  • Zanariah Abdul Majid

Abstract

An alternative block method for solving fifth-order initial value problems (IVPs) is proposed with an adaptive strategy of implementing variable step size. The derived method is designed to compute four solutions simultaneously without reducing the problem to a system of first-order IVPs. To validate the proposed method, the consistency and zero stability are also discussed. The improved performance of the developed method is demonstrated by comparing it with the existing methods and the results showed that the 4-point block method is suitable for solving fifth-order IVPs.

Suggested Citation

  • Nazreen Waeleh & Zanariah Abdul Majid, 2016. "A 4-Point Block Method for Solving Higher Order Ordinary Differential Equations Directly," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2016, pages 1-8, July.
    • Handle: RePEc:hin:jijmms:9823147
    DOI: 10.1155/2016/9823147
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    References listed on IDEAS

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    1. S. J. Kayode, 2008. "An Efficient Zero-Stable Numerical Method for Fourth-Order Differential Equations," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2008, pages 1-10, July.
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