Boundary Value Methods for Second-Order PDEs via the Lanczos-Chebyshev Reduction Technique-Reference-Cited by-同舟云学术

Boundary Value Methods for Second-Order PDEs via the Lanczos-Chebyshev Reduction Technique

Published:2017 Issue: Volume:2017 Page:1-11
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Biala T. A.¹^ORCID,Jator S. N.²^ORCID,Adeniyi R. B.³

Affiliation:

1. Department of Mathematics and Computer Science, Sule Lamido University, PMB 048, Kafin Hausa, Nigeria

2. Department of Mathematics and Statistics, Austin Peay State University, Clarksville, TN 37044, USA

3. Department of Mathematics, University of Ilorin, Ilorin, Nigeria

Abstract

In this paper, we study the performance of Boundary Value Methods (BVMs) on second-order PDEs. The PDEs are transformed into a system of second-order ordinary differential equations (ODEs) using the Lanczos-Chebyshev reduction technique. The conditions under which the BVMs converge and the computational complexities of the algorithms are discussed. Numerical illustrations are given to show the simplicity and high accuracy of the approach.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2017/5945080.pdf

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