Implementation of TAGE Method Using Seikkala Derivatives Applied to Two-Point Fuzzy Boundary Value Problems
Iterative methods particularly the Two-Parameter Alternating Group Explicit (TAGE) methods are used to solve system of linear equations generated from the discretization of two-point fuzzy boundary value problems (FBVPs). The formulation and implementation of the TAGE method are also presented. Then...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2015/346036 |
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| _version_ | 1849306406669254656 |
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| author | A. A. Dahalan J. Sulaiman |
| author_facet | A. A. Dahalan J. Sulaiman |
| author_sort | A. A. Dahalan |
| collection | DOAJ |
| description | Iterative methods particularly the Two-Parameter Alternating Group Explicit
(TAGE) methods are used to solve system of linear equations generated from the
discretization of two-point fuzzy boundary value problems (FBVPs). The formulation and
implementation of the TAGE method are also presented. Then numerical experiments are
carried out onto two example problems to verify the effectiveness of the method. The results
show that TAGE method is superior compared to GS method in the aspect of number of
iterations, execution time, and Hausdorff distance. |
| format | Article |
| id | doaj-art-34a5491c75fc4546bbdaea1d8835ea68 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-34a5491c75fc4546bbdaea1d8835ea682025-08-20T03:55:06ZengWileyInternational Journal of Differential Equations1687-96431687-96512015-01-01201510.1155/2015/346036346036Implementation of TAGE Method Using Seikkala Derivatives Applied to Two-Point Fuzzy Boundary Value ProblemsA. A. Dahalan0J. Sulaiman1Department of Mathematics, Centre for Defence Foundation Studies, National Defence University of Malaysia, 57000 Kuala Lumpur, MalaysiaFaculty of Science & Natural Resources, Universiti Malaysia Sabah, 88400 Kota Kinabalu, Sabah, MalaysiaIterative methods particularly the Two-Parameter Alternating Group Explicit (TAGE) methods are used to solve system of linear equations generated from the discretization of two-point fuzzy boundary value problems (FBVPs). The formulation and implementation of the TAGE method are also presented. Then numerical experiments are carried out onto two example problems to verify the effectiveness of the method. The results show that TAGE method is superior compared to GS method in the aspect of number of iterations, execution time, and Hausdorff distance.http://dx.doi.org/10.1155/2015/346036 |
| spellingShingle | A. A. Dahalan J. Sulaiman Implementation of TAGE Method Using Seikkala Derivatives Applied to Two-Point Fuzzy Boundary Value Problems International Journal of Differential Equations |
| title | Implementation of TAGE Method Using Seikkala Derivatives Applied to Two-Point Fuzzy Boundary Value Problems |
| title_full | Implementation of TAGE Method Using Seikkala Derivatives Applied to Two-Point Fuzzy Boundary Value Problems |
| title_fullStr | Implementation of TAGE Method Using Seikkala Derivatives Applied to Two-Point Fuzzy Boundary Value Problems |
| title_full_unstemmed | Implementation of TAGE Method Using Seikkala Derivatives Applied to Two-Point Fuzzy Boundary Value Problems |
| title_short | Implementation of TAGE Method Using Seikkala Derivatives Applied to Two-Point Fuzzy Boundary Value Problems |
| title_sort | implementation of tage method using seikkala derivatives applied to two point fuzzy boundary value problems |
| url | http://dx.doi.org/10.1155/2015/346036 |
| work_keys_str_mv | AT aadahalan implementationoftagemethodusingseikkaladerivativesappliedtotwopointfuzzyboundaryvalueproblems AT jsulaiman implementationoftagemethodusingseikkaladerivativesappliedtotwopointfuzzyboundaryvalueproblems |