DERIVATION OF 2-POINT ZERO STABLENUMERICAL ALGORITHM OF BLOCK BACKWARD DIFFERENTIATION FORMULA FOR SOLVING FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS

  • Muhammad Abdullahi
  • Bashir Sule
  • Mustapha Isyaku
Keywords: Block, Backward differentiation formula, Zero stability, Order

Abstract

This paper is aimed at deriving a 2-point zero stable numerical algorithm of block backward differentiation formula using Taylor series expansion, for solving first order ordinary differential equation. The order and zero stability of the method are investigated and the derived method is found to be zero stable and of order 3. Hence, the method is suitable for solving first order ordinary differential equation. Implementation of the method has been considered

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Published
2021-07-20
How to Cite
Abdullahi, M., Sule, B., & Isyaku, M. (2021). DERIVATION OF 2-POINT ZERO STABLENUMERICAL ALGORITHM OF BLOCK BACKWARD DIFFERENTIATION FORMULA FOR SOLVING FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS. FUDMA JOURNAL OF SCIENCES, 5(2), 579 - 583. https://doi.org/10.33003/fjs-2021-0502-673