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Journal of Applied Sciences and Environmental Management
World Bank assisted National Agricultural Research Project (NARP) - University of Port Harcourt
ISSN: 1119-8362
Vol. 23, No. 12, 2019, pp. 2251-2257
Bioline Code: ja19335
Full paper language: English
Document type: Research Article
Document available free of charge

Journal of Applied Sciences and Environmental Management, Vol. 23, No. 12, 2019, pp. 2251-2257

 en An Implicit Collocation Method for Direct Solution of Fourth Order Ordinary Differential Equations


This paper presented a linear multistep method for solving fourth order initial value problems of ordinary differential equations. Collocation and interpolation methods are adopted in the derivation of the new numerical scheme which is further applied to finding direct solution of fourth order ordinary differentiation equations. This implementation strategy is more accurate and efficient than Adams–Bashforth Method solution. The newly derive scheme have better stabilities properties than that of the Adams-Bashforth Method. Numerical examples are included to illustrate the reliability and accuracy of the new methods.

Linear Multistep Methods; Region of Absolute Stability; Zero-Stability; Error Analysis; Collocation.

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