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Diagonally Implicit Block Backward Differentiation Formulas for Solving Ordinary Differential Equations

Author

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  • I. S. M. Zawawi
  • Z. B. Ibrahim
  • F. Ismail
  • Z. A. Majid

Abstract

This paper focuses on the derivation of diagonally implicit two-point block backward differentiation formulas (DI2BBDF) for solving first-order initial value problem (IVP) with two fixed points. The method approximates the solution at two points simultaneously. The implementation and the stability of the proposed method are also discussed. A performance of the DI2BBDF is compared with the existing methods.

Suggested Citation

  • I. S. M. Zawawi & Z. B. Ibrahim & F. Ismail & Z. A. Majid, 2012. "Diagonally Implicit Block Backward Differentiation Formulas for Solving Ordinary Differential Equations," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-8, November.
    • Handle: RePEc:hin:jijmms:767328
    DOI: 10.1155/2012/767328
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    Cited by:

    1. Zarina Bibi Ibrahim & Amiratul Ashikin Nasarudin, 2020. "A Class of Hybrid Multistep Block Methods with A –Stability for the Numerical Solution of Stiff Ordinary Differential Equations," Mathematics, MDPI, vol. 8(6), pages 1-19, June.
    2. Saufianim Jana Aksah & Zarina Bibi Ibrahim & Iskandar Shah Mohd Zawawi, 2019. "Stability Analysis of Singly Diagonally Implicit Block Backward Differentiation Formulas for Stiff Ordinary Differential Equations," Mathematics, MDPI, vol. 7(2), pages 1-16, February.

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