The Family Of Four, Five And Sixmembers Block Hybrid Simpson’s Methods For Solution Of Stiff Ordinary Differential Equations
Journal Title: International Journal of engineering Research and Applications - Year 2018, Vol 8, Issue 6
Abstract
In this research work,the construction of two-step hybrid block Simpson’s methods with two, threeand four offgrid points for the solutions of first order stiff systems of ordinary differential equations (ODEs) in studied.In the derivation of the method, power series is adopted as basis function to obtain the main scheme through collocation and interpolations approach. Taylor series was adopted alongside, the method to generate nonoverlapping numerical results.This is achieved by transforming a k-step multi-step method into continuous form and evaluating at various grid points to obtain the discrete schemes. The performance of the methods is demonstrated on some numerical experiments. The results revealed that the hybrid block Simpson’s method is efficient, accurate and convergent on mildly stiff problems.
Authors and Affiliations
Y. Skwame, J. Sabo, J. M. Althemai, P. Tumba
Keywords
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- EP ID EP394314
- DOI 10.9790/9622-0806015964.
- Views 121
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