A Variable Step Reduction Block Solver for Stiff ODEs-Reference-Cited by-同舟云学术

A Variable Step Reduction Block Solver for Stiff ODEs

Published:2022-06-08 Issue: Volume:21 Page:347-355
ISSN:2224-2880
Container-title:WSEAS TRANSACTIONS ON MATHEMATICS
language:en
Short-container-title:

Author:

Oghonyon Jimevwo Godwin¹,Odekunle Matthew Remilekun²,Egharevba Matthew Etinosa³,Abodunrin Temitope⁴

Affiliation:

1. Department of Mathematics, Covenant University Km 10. Idiroko, Canaan Land, Ota, Ogun State, NIGERIA

2. Department of Mathematics, Modibbo Adama University of Technology P. M. B. 2076, Yola, Adamawa State, NIGERIA

3. Department of Sociology, Covenant University Km 10. Idiroko, Canaan Land, Ota, Ogun State, NIGERIA

4. Department of Physics, Covenant University Km 10. Idiroko, Canaan Land, Ota, Ogun State, NIGERIA

Abstract

This research study is aimed at developing variable step reduction block solver (VSRBS) for stiff ODEs. This step reduction block solver will embrace the technic of variable step-variable order to determine suited variable step size. The trigonometrically fitted method will represent the basis function approximation to be utilized together with the method of interpolation and collocation to derive (VSRBS). VSRBS comes with advantages to overcome the barrier of stability requirement pose by definition 4. Some selected modelled examples of stiff ODEs will solved and compared with existing methods to establish the efficiency and accuracy.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

General Mathematics

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