A FAMILY OF EXPONENTIALLY FITTED MULTIDERIVATIVE METHOD FOR STIFF DIFFERENTIAL EQUATIONS

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2017, Vol 13, Issue 2

Abstract

In this paper, an A-stable exponentially fitted predictor-corrector using multiderivative linear multistep method for solving stiff differential equations is developed. The method which is a two-step third derivative method of order five contains free parameters. The numerical stability analysis of the method was discussed, and found to be A-stable. Numerical examples are provided to show the efficiency of the method when compared with existing methods in the literature that have solved the set of problems.

Authors and Affiliations

Abhulimen Cletus, Ukpebor L a

Keywords

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  • EP ID EP651771
  • DOI 10.24297/jam.v13i2.5649
  • Views 167
  • Downloads 0

How To Cite

Abhulimen Cletus, Ukpebor L a (2017). A FAMILY OF EXPONENTIALLY FITTED MULTIDERIVATIVE METHOD FOR STIFF DIFFERENTIAL EQUATIONS. JOURNAL OF ADVANCES IN MATHEMATICS, 13(2), 7155-7162. https://europub.co.uk/articles/-A-651771