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2020•FUOYE Journal of Engineering and TechnologyOpen access

Computation of First order Delay Differential Equations via Simpson Block Method

R. I. Abdulganiy, O. A. Akinfenwa, O. E. Enobabor, Blessing I Orji, S. A. Okunuga

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Abstract

A family of Simpson Block Method (SBM) is proposed for the numerical integration of Delay Differential Equations (DDEs). The methods are developed through multistep collocation technique using constant step width. The convergence and accuracy of the methods are established through some standard DDEs in the reviewed literature. Keywords— Block Method, Collocation Technique, Delay Term, Delay Differential Equation, Self Starting.

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What this paper is about

A family of Simpson Block Method (SBM) is proposed for the numerical integration of Delay Differential Equations (DDEs). The methods are developed through multistep collocation technique using constant step width. The convergence and accuracy of the methods are established through some standard DDEs in the reviewed literature. Keywords— Block Method, Collocation Technique, Delay Term, Delay Differential Equation, Self Starting.

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Available abstract

A family of Simpson Block Method (SBM) is proposed for the numerical integration of Delay Differential Equations (DDEs). The methods are developed through multistep collocation technique using constant step width. The convergence and accuracy of the methods are established through some standard DDEs in the reviewed literature. Keywords— Block Method, Collocation Technique, Delay Term, Delay Differential Equation, Self Starting.

Key concepts: Collocation (remote sensing), Delay differential equation, Convergence (economics), Collocation method, Block (permutation group theory), Computation, Mathematics, Orthogonal collocation

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