ORDER AND CONVERGENCE OF THE ENHANCED 3-POINT FULLY IMPLICIT SUPER CLASS OF BLOCK BACKWARD DIFFERENTIATION FORMULA FOR SOLVING INITIAL VALUE PROBLEM

  • Muhammad Abdullahi
  • Hamisu Musa
Keywords: A-Stable, Block, Consistency, Convergence, Order and Zero stability

Abstract

This paper studied an enhanced 3-point fully implicit super class of block backward differentiation formula for solving stiff initial value problems developed by Abdullahi & Musa and go further to established the necessary and sufficient conditions for the convergence of the method. The method is zero stable, A-stable and it is of order 5. The method is found to be suitable for solving first order stiff initial value problems

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Published
2021-07-13
How to Cite
Abdullahi, M., & Musa, H. (2021). ORDER AND CONVERGENCE OF THE ENHANCED 3-POINT FULLY IMPLICIT SUPER CLASS OF BLOCK BACKWARD DIFFERENTIATION FORMULA FOR SOLVING INITIAL VALUE PROBLEM . FUDMA JOURNAL OF SCIENCES, 5(2), 442 - 446. https://doi.org/10.33003/fjs-2021-0502-648