Numerical Solution of Stiff and Oscillatory Differential Equations Using a Block Integrator

Sunday, J. and Odekunle, M. R. and James, A. A. and Adesanya, A. O. (2014) Numerical Solution of Stiff and Oscillatory Differential Equations Using a Block Integrator. British Journal of Mathematics & Computer Science, 4 (17). pp. 2471-2481. ISSN 22310851

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Abstract

This paper presents the derivation and implementation of a block integrator for the solution of stiff and oscillatory first-order initial value problems of Ordinary Differential Equations (ODEs). The integrator was derived by collocation and interpolation of the combination of power series and exponential function to generate a continuous implicit Linear Multistep Method (LMM). The basic properties of the derived integrator were investigated and the integrator was implemented on some sampled stiff and oscillatory problems. From the results obtained, it is obvious that the block integrator gives better approximation than some existing ones.

Item Type: Article
Subjects: European Repository > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 20 Jun 2023 06:26
Last Modified: 20 Oct 2023 03:39
URI: http://go7publish.com/id/eprint/2530

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