Collocation Techniques for Block Methods for the Direct Solution of Higher Order Initial Value Problems of Ordinary Differential Equations
International Journal on Data Science and Technology
Volume 3, Issue 4, July 2017, Pages: 39-44
Received: Jun. 1, 2017; Accepted: Aug. 21, 2017; Published: Sep. 26, 2017
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Authors
Kamoh Nathaniel Mahwash, Department of Mathematics/Statistics Bingham University, Karu, Nigeria
Awari Yohanna Sani, Department of Mathematics/Statistics Bingham University, Karu, Nigeria
Chun Pamson Bentse, Department of Mathematics/Statistics Plateau State University Bokkos, Bokkos, Nigeria
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Abstract
This paper presents the derivation techniques of block method for solving higher order initial value problems of ordinary differential equations directly. The method was developed via interpolation and collocation of the shifted Legendre polynomials as basis function. The method is capable of providing the numerical solution at several points simultaneously.
Keywords
Collocation, Interpolation, Shifted Legendre Polynomials, Block Method, Higher Order, Direct Solution, Initial Value Problems
To cite this article
Kamoh Nathaniel Mahwash, Awari Yohanna Sani, Chun Pamson Bentse, Collocation Techniques for Block Methods for the Direct Solution of Higher Order Initial Value Problems of Ordinary Differential Equations, International Journal on Data Science and Technology. Vol. 3, No. 4, 2017, pp. 39-44. doi: 10.11648/j.ijdst.20170304.11
Copyright
Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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