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Solving Nonstiff Higher-Order Ordinary Differential Equations Using 2-Point Block Method Directly

Author

Listed:
  • Hazizah Mohd Ijam
  • Mohamed Suleiman
  • Ahmad Fadly Nurullah Rasedee
  • Norazak Senu
  • Ali Ahmadian
  • Soheil Salahshour

Abstract

We describe the development of a 2-point block backward difference method (2PBBD) for solving system of nonstiff higher-order ordinary differential equations (ODEs) directly. The method computes the approximate solutions at two points simultaneously within an equidistant block. The integration coefficients that are used in the method are obtained only once at the start of the integration. Numerical results are presented to compare the performances of the method developed with 1-point backward difference method (1PBD) and 2-point block divided difference method (2PBDD). The result indicated that, for finer step sizes, this method performs better than the other two methods, that is, 1PBD and 2PBDD.

Suggested Citation

  • Hazizah Mohd Ijam & Mohamed Suleiman & Ahmad Fadly Nurullah Rasedee & Norazak Senu & Ali Ahmadian & Soheil Salahshour, 2014. "Solving Nonstiff Higher-Order Ordinary Differential Equations Using 2-Point Block Method Directly," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-13, September.
    • Handle: RePEc:hin:jnlaaa:867095
    DOI: 10.1155/2014/867095
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