Numerical Solution of Uncertain Beam Equations Using Double Parametric Form of Fuzzy Numbers
Present paper proposes a new technique to solve uncertain beam equation using double parametric form of fuzzy numbers. Uncertainties appearing in the initial conditions are taken in terms of triangular fuzzy number. Using the single parametric form, the fuzzy beam equation is converted first to an i...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Applied Computational Intelligence and Soft Computing |
| Online Access: | http://dx.doi.org/10.1155/2013/764871 |
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| _version_ | 1832554480238854144 |
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| author | Smita Tapaswini S. Chakraverty |
| author_facet | Smita Tapaswini S. Chakraverty |
| author_sort | Smita Tapaswini |
| collection | DOAJ |
| description | Present paper proposes a new technique to solve uncertain beam equation using double parametric form of fuzzy numbers. Uncertainties appearing in the initial conditions are taken in terms of triangular fuzzy number. Using the single parametric form, the fuzzy beam equation is converted first to an interval-based fuzzy differential equation. Next, this differential equation is transformed to crisp form by applying double parametric form of fuzzy number. Finally, the same is solved by homotopy perturbation method (HPM) to obtain the uncertain responses subject to unit step and impulse loads. Obtained results are depicted in terms of plots to show the efficiency and powerfulness of the methodology. |
| format | Article |
| id | doaj-art-13ce3e2e922c4ca69e60aad89967204b |
| institution | Kabale University |
| issn | 1687-9724 1687-9732 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Applied Computational Intelligence and Soft Computing |
| spelling | doaj-art-13ce3e2e922c4ca69e60aad89967204b2025-02-03T05:51:19ZengWileyApplied Computational Intelligence and Soft Computing1687-97241687-97322013-01-01201310.1155/2013/764871764871Numerical Solution of Uncertain Beam Equations Using Double Parametric Form of Fuzzy NumbersSmita Tapaswini0S. Chakraverty1Department of Mathematics, National Institute of Technology, Rourkela, Odisha 769 008, IndiaDepartment of Mathematics, National Institute of Technology, Rourkela, Odisha 769 008, IndiaPresent paper proposes a new technique to solve uncertain beam equation using double parametric form of fuzzy numbers. Uncertainties appearing in the initial conditions are taken in terms of triangular fuzzy number. Using the single parametric form, the fuzzy beam equation is converted first to an interval-based fuzzy differential equation. Next, this differential equation is transformed to crisp form by applying double parametric form of fuzzy number. Finally, the same is solved by homotopy perturbation method (HPM) to obtain the uncertain responses subject to unit step and impulse loads. Obtained results are depicted in terms of plots to show the efficiency and powerfulness of the methodology.http://dx.doi.org/10.1155/2013/764871 |
| spellingShingle | Smita Tapaswini S. Chakraverty Numerical Solution of Uncertain Beam Equations Using Double Parametric Form of Fuzzy Numbers Applied Computational Intelligence and Soft Computing |
| title | Numerical Solution of Uncertain Beam Equations Using Double Parametric Form of Fuzzy Numbers |
| title_full | Numerical Solution of Uncertain Beam Equations Using Double Parametric Form of Fuzzy Numbers |
| title_fullStr | Numerical Solution of Uncertain Beam Equations Using Double Parametric Form of Fuzzy Numbers |
| title_full_unstemmed | Numerical Solution of Uncertain Beam Equations Using Double Parametric Form of Fuzzy Numbers |
| title_short | Numerical Solution of Uncertain Beam Equations Using Double Parametric Form of Fuzzy Numbers |
| title_sort | numerical solution of uncertain beam equations using double parametric form of fuzzy numbers |
| url | http://dx.doi.org/10.1155/2013/764871 |
| work_keys_str_mv | AT smitatapaswini numericalsolutionofuncertainbeamequationsusingdoubleparametricformoffuzzynumbers AT schakraverty numericalsolutionofuncertainbeamequationsusingdoubleparametricformoffuzzynumbers |