Diagonally Implicit Block Backward Differentiation Formulas for Solving Ordinary Differential Equations

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

International Journal of Mathematics and Mathematical Sciences, 2012, vol. 2012, 1-8

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:767328

DOI: 10.1155/2012/767328

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