WSEAS Transactions on Mathematics

Print ISSN: 1109-2769
E-ISSN: 2224-2880

Volume 17, 2018

Notice: As of 2014 and for the forthcoming years, the publication frequency/periodicity of WSEAS Journals is adapted to the 'continuously updated' model. What this means is that instead of being separated into issues, new papers will be added on a continuous basis, allowing a more regular flow and shorter publication times. The papers will appear in reverse order, therefore the most recent one will be on top.

Volume 17, 2018

Sixth-Order and Fourth-Order Hybrid Boundary Value Methods for Systems of Boundary Value Problems

AUTHORS: Grace O. Akinlabi, Raphael B. Adeniyi

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ABSTRACT: Hybrid Boundary Value Methods (HyBVMs) are a new class of Boundary Value Methods (BVMs) proposed recently for the approximation of Ordinary Differential Equations (ODEs). These new schemes behave just like the BVMs as the HyBVMs are also based on the Linear Multistep Methods (LMMs) but utilizes data at both step and off-step points. Numerical tests on both linear and nonlinear Boundary Value Problems (BVPs) were presented using the HyBVMs of order 6 and order 4. The results were compared with the symmetric schemes: Extended Trapezoidal Rules (ETRs) of order 6 and order 4.

KEYWORDS: Boundary value methods, hybrid BVMs, boundary value problems, linear multistep method, numerical methods for ODEs.


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WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 17, 2018, Art. #32, pp. 258-264

Copyright Β© 2018 Author(s) retain the copyright of this article. This article is published under the terms of the Creative Commons Attribution License 4.0

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