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2016 A Computational Study of the Boundary Value Methods and the Block Unification Methods for y=f(x,y,y)
T. A. Biala
Abstr. Appl. Anal. 2016: 1-14 (2016). DOI: 10.1155/2016/8465103

Abstract

We derive a new class of linear multistep methods (LMMs) via the interpolation and collocation technique. We discuss the use of these methods as boundary value methods and block unification methods for the numerical approximation of the general second-order initial and boundary value problems. The convergence of these families of methods is also established. Several test problems are given to show a computational comparison of these methods in terms of accuracy and the computational efficiency.

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T. A. Biala. "A Computational Study of the Boundary Value Methods and the Block Unification Methods for y=f(x,y,y)." Abstr. Appl. Anal. 2016 1 - 14, 2016. https://doi.org/10.1155/2016/8465103

Information

Received: 13 November 2015; Revised: 7 January 2016; Accepted: 18 January 2016; Published: 2016
First available in Project Euclid: 19 May 2016

zbMATH: 06929392
MathSciNet: MR3490101
Digital Object Identifier: 10.1155/2016/8465103

Rights: Copyright © 2016 Hindawi

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