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

Biala T. A.; Jator S. N.; Adeniyi R. B.

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

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

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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.

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《Mathematical Problems in Engineering: Theory, Methods and Applications》 |2017年第2期|共11页
作者
Biala T. A.; Jator S. N.; Adeniyi R. B.;
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Sule Lamido Univ, Dept Math & Comp Sci, PMB 048, Kafin Hausa, Nigeria;

Austin Peay State Univ, Dept Math & Stat, Clarksville, TN 37044 USA;

Univ Ilorin, Dept Math, Ilorin, Nigeria;

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

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