Numerical treatment of first order delay differential equations using extended block backward differentiation formulae

Chakraverty, S. and Edeki, S.O. and adinya, I and Gonzalez-Gaxiola, O. and Hammouch, Z. and Fotso, T. J. and Owino, J. N. and Jena, R. M. and Bhattacharya, T. and Zelibe, S. C. and Animasau, I. I. and Jena, S. K. and Boiquaye, PS Andam and Athavale, V. A. (2022) Numerical treatment of first order delay differential equations using extended block backward differentiation formulae. In: ICORTAR, 2022, Online.

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Abstract

In this research, we developed and implemented extended backward differentiation methods (formulae) in block forms for step numbers k = 2, 3 and 4 to evaluate numerical solutions for certain first-order differential equations of delay type, generally referred to as delay differential equations (DDEs), without the use of interpolation methods for estimating the delay term. The matrix inversion approach was applied to formulate the continuous composition of these block methods through linear multistep collocation method. The discrete schemes were established through the continuous composition for each step number, which evaluated the error constants, order, consistency, convergent and area of absolute equilibrium of these discrete schemes. The study of the absolute error results revealed that, as opposed to the exact solutions, the lower step number implemented with super futures points work better than the higher step numbers implemented with super future points.

Item Type:	Conference or Workshop Item (Paper)
Uncontrolled Keywords:	First order differential equations, Delay ODE, block method, backward differentiation
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User:	Mrs Patricia Nwokealisi
Date Deposited:	30 May 2022 13:03
Last Modified:	30 May 2022 13:03
URI:	http://eprints.covenantuniversity.edu.ng/id/eprint/15906

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