A New Numerical Algorithm for Two-Point Boundary Value Problems
We present a new numerical algorithm for two-point boundary value problems. We first present the exact solution in the form of series and then prove that the n-term numerical solution converges uniformly to the exact solution. Furthermore, we establish the numerical stability and error analysis. The...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/302936 |
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| _version_ | 1832545528721702912 |
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| author | Lihua Guo Boying Wu Dazhi Zhang |
| author_facet | Lihua Guo Boying Wu Dazhi Zhang |
| author_sort | Lihua Guo |
| collection | DOAJ |
| description | We present a new numerical algorithm for two-point boundary value problems. We first present the exact solution in the form of series and then prove that the n-term numerical solution converges uniformly to the exact solution. Furthermore, we establish the numerical stability and error analysis. The numerical results show the effectiveness of the proposed algorithm. |
| format | Article |
| id | doaj-art-9d4f9eb04c0b4210861d6c6f95c246a5 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-9d4f9eb04c0b4210861d6c6f95c246a52025-02-03T07:25:32ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/302936302936A New Numerical Algorithm for Two-Point Boundary Value ProblemsLihua Guo0Boying Wu1Dazhi Zhang2Department of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaDepartment of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaDepartment of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaWe present a new numerical algorithm for two-point boundary value problems. We first present the exact solution in the form of series and then prove that the n-term numerical solution converges uniformly to the exact solution. Furthermore, we establish the numerical stability and error analysis. The numerical results show the effectiveness of the proposed algorithm.http://dx.doi.org/10.1155/2014/302936 |
| spellingShingle | Lihua Guo Boying Wu Dazhi Zhang A New Numerical Algorithm for Two-Point Boundary Value Problems Abstract and Applied Analysis |
| title | A New Numerical Algorithm for Two-Point Boundary Value Problems |
| title_full | A New Numerical Algorithm for Two-Point Boundary Value Problems |
| title_fullStr | A New Numerical Algorithm for Two-Point Boundary Value Problems |
| title_full_unstemmed | A New Numerical Algorithm for Two-Point Boundary Value Problems |
| title_short | A New Numerical Algorithm for Two-Point Boundary Value Problems |
| title_sort | new numerical algorithm for two point boundary value problems |
| url | http://dx.doi.org/10.1155/2014/302936 |
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