Optimization of One-Step Block Method for Solving Second-Order Fuzzy Initial Value Problems
In this article, we present a one-step hybrid block method for approximating the solutions of second-order fuzzy initial value problems. We prove the stability and convergence results of the method and present several examples to illustrate the efficiency and accuracy of the proposed method. The num...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/6650413 |
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| _version_ | 1849305633754447872 |
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| author | Safa Al-Refai Muhammed I. Syam Mohammed Al-Refai |
| author_facet | Safa Al-Refai Muhammed I. Syam Mohammed Al-Refai |
| author_sort | Safa Al-Refai |
| collection | DOAJ |
| description | In this article, we present a one-step hybrid block method for approximating the solutions of second-order fuzzy initial value problems. We prove the stability and convergence results of the method and present several examples to illustrate the efficiency and accuracy of the proposed method. The numerical results are compared with the existing ones in the literature. |
| format | Article |
| id | doaj-art-06b878f20c7649ae9e9bb7c2911700f8 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-06b878f20c7649ae9e9bb7c2911700f82025-08-20T03:55:23ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/66504136650413Optimization of One-Step Block Method for Solving Second-Order Fuzzy Initial Value ProblemsSafa Al-Refai0Muhammed I. Syam1Mohammed Al-Refai2Department of Mathematical Sciences College of Science, UAE University Al-Ain, Al Ain, UAEDepartment of Mathematical Sciences College of Science, UAE University Al-Ain, Al Ain, UAEDepartment of Mathematics Yarmouk University, Irbid, JordanIn this article, we present a one-step hybrid block method for approximating the solutions of second-order fuzzy initial value problems. We prove the stability and convergence results of the method and present several examples to illustrate the efficiency and accuracy of the proposed method. The numerical results are compared with the existing ones in the literature.http://dx.doi.org/10.1155/2021/6650413 |
| spellingShingle | Safa Al-Refai Muhammed I. Syam Mohammed Al-Refai Optimization of One-Step Block Method for Solving Second-Order Fuzzy Initial Value Problems Complexity |
| title | Optimization of One-Step Block Method for Solving Second-Order Fuzzy Initial Value Problems |
| title_full | Optimization of One-Step Block Method for Solving Second-Order Fuzzy Initial Value Problems |
| title_fullStr | Optimization of One-Step Block Method for Solving Second-Order Fuzzy Initial Value Problems |
| title_full_unstemmed | Optimization of One-Step Block Method for Solving Second-Order Fuzzy Initial Value Problems |
| title_short | Optimization of One-Step Block Method for Solving Second-Order Fuzzy Initial Value Problems |
| title_sort | optimization of one step block method for solving second order fuzzy initial value problems |
| url | http://dx.doi.org/10.1155/2021/6650413 |
| work_keys_str_mv | AT safaalrefai optimizationofonestepblockmethodforsolvingsecondorderfuzzyinitialvalueproblems AT muhammedisyam optimizationofonestepblockmethodforsolvingsecondorderfuzzyinitialvalueproblems AT mohammedalrefai optimizationofonestepblockmethodforsolvingsecondorderfuzzyinitialvalueproblems |