A Family of Boundary Value Methods for Systems of Second-Order Boundary Value Problems
A family of boundary value methods (BVMs) with continuous coefficients is derived and used to obtain methods which are applied via the block unification approach. The methods obtained from these continuous BVMs are weighted the same and are used to simultaneously generate approximations to the exact...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2017/2464759 |
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| author | T. A. Biala S. N. Jator |
| author_facet | T. A. Biala S. N. Jator |
| author_sort | T. A. Biala |
| collection | DOAJ |
| description | A family of boundary value methods (BVMs) with continuous coefficients is derived and used to obtain methods which are applied via the block unification approach. The methods obtained from these continuous BVMs are weighted the same and are used to simultaneously generate approximations to the exact solution of systems of second-order boundary value problems (BVPs) on the entire interval of integration. The convergence of the methods is analyzed. Numerical experiments were performed to show efficiency and accuracy advantages. |
| format | Article |
| id | doaj-art-9238adae19c4476eaa3c8eec01d6a6f9 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-9238adae19c4476eaa3c8eec01d6a6f92025-02-03T01:02:53ZengWileyInternational Journal of Differential Equations1687-96431687-96512017-01-01201710.1155/2017/24647592464759A Family of Boundary Value Methods for Systems of Second-Order Boundary Value ProblemsT. A. Biala0S. N. Jator1Department of Mathematics and Computer Science, Sule Lamido University, PMB 048, Kafin Hausa, NigeriaDepartment of Mathematics and Statistics, Austin Peay State University, Clarksville, TN 37044, USAA family of boundary value methods (BVMs) with continuous coefficients is derived and used to obtain methods which are applied via the block unification approach. The methods obtained from these continuous BVMs are weighted the same and are used to simultaneously generate approximations to the exact solution of systems of second-order boundary value problems (BVPs) on the entire interval of integration. The convergence of the methods is analyzed. Numerical experiments were performed to show efficiency and accuracy advantages.http://dx.doi.org/10.1155/2017/2464759 |
| spellingShingle | T. A. Biala S. N. Jator A Family of Boundary Value Methods for Systems of Second-Order Boundary Value Problems International Journal of Differential Equations |
| title | A Family of Boundary Value Methods for Systems of Second-Order Boundary Value Problems |
| title_full | A Family of Boundary Value Methods for Systems of Second-Order Boundary Value Problems |
| title_fullStr | A Family of Boundary Value Methods for Systems of Second-Order Boundary Value Problems |
| title_full_unstemmed | A Family of Boundary Value Methods for Systems of Second-Order Boundary Value Problems |
| title_short | A Family of Boundary Value Methods for Systems of Second-Order Boundary Value Problems |
| title_sort | family of boundary value methods for systems of second order boundary value problems |
| url | http://dx.doi.org/10.1155/2017/2464759 |
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