Hihger Oder Extended Block Hybrid Second Derivatives Backward Differentiation Formula for Solving Dae of Index 1,2, and 3 R. A. Soneye, O. A. Akinfenwa, R. I. Abdulganiy and S. A. Okunuga-Reference-Cited by-同舟云学术

Hihger Oder Extended Block Hybrid Second Derivatives Backward Differentiation Formula for Solving Dae of Index 1,2, and 3 R. A. Soneye, O. A. Akinfenwa, R. I. Abdulganiy and S. A. Okunuga

Published:2022-08-22 Issue: Volume: Page:
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Author:

AKINFENWA OLUSEYE AREMU¹,OKUNUGA SOLOMON ADEBOLA¹,ABDULGANIY RIDWAN IYANDA¹

Affiliation:

1. University of Lagos

Abstract

Abstract A new two-step Extended Second Derivative Hybrid Block Backward Differentiation Formula (ESDHBBDF) for the solution of Differential-algebraic Equations (DAEs) of index-1, 2, and 3 systems is presented. The derived methods which were coupled and implemented as a set of block formulae was implemented in a block by block fashion. Numerical results obtained when tested on some standard DAEs of index- 1, 2, and 3 with wider range revealed that the method was efficient and very accurate, and particularly suitable for DAEs.

Publisher

Research Square Platform LLC

Reference24 articles.

1. Block methods for second order IVPs;Fatunla SO;Intern. J. Comput. Math.,1991

2. Numerical method to solve chemical differential-algebraic equations;Celik E;Int. J. Quan- tum Chem.,2002

3. Celik, E., Bayram, M., Milne: pp. 151–160. 1. E. Hairer, G. Wanner, Solving Ordinary Differential Equations II, Springer, New York, 1996. 2. P. Henrici, Discrete Variable Methods in ODEs, John Wiley, New York, 1962. 3. W. E. Milne, Numerical solution of differential equations, John Wiley and Sons, 1953. (2003)

4. Projected Implicit Runge-Kutta Methods for Differential Algebraic Equations;Ascher UM;SIAM J. Numer. Anal.,1991

5. Brennan, K.E., Campbell, S.L., Petzold, L.R.: Numerical Solution of Initial Value Problems in Di_erential-Algebraic Equations. Elsevier, New York (1989)

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