An Improved Version of Residual Power Series Method for Space-Time Fractional Problems
The task of present research is to establish an enhanced version of residual power series (RPS) technique for the approximate solutions of linear and nonlinear space-time fractional problems with Dirichlet boundary conditions by introducing new parameter λ. The parameter λ allows us to establish the...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2022/6174688 |
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| _version_ | 1832566204676440064 |
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| author | Mine Aylin Bayrak Ali Demir Ebru Ozbilge |
| author_facet | Mine Aylin Bayrak Ali Demir Ebru Ozbilge |
| author_sort | Mine Aylin Bayrak |
| collection | DOAJ |
| description | The task of present research is to establish an enhanced version of residual power series (RPS) technique for the approximate solutions of linear and nonlinear space-time fractional problems with Dirichlet boundary conditions by introducing new parameter λ. The parameter λ allows us to establish the best numerical solutions for space-time fractional differential equations (STFDE). Since each problem has different Dirichlet boundary conditions, the best choice of the parameter λ depends on the problem. This is the major contribution of this research. The illustrated examples also show that the best approximate solutions of various problems are constructed for distinct values of parameter λ. Moreover, the efficiency and reliability of this technique are verified by the numerical examples. |
| format | Article |
| id | doaj-art-51931e74ce5a4db2a1c414ea282cf5c1 |
| institution | Kabale University |
| issn | 1687-9139 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-51931e74ce5a4db2a1c414ea282cf5c12025-02-03T01:04:44ZengWileyAdvances in Mathematical Physics1687-91392022-01-01202210.1155/2022/6174688An Improved Version of Residual Power Series Method for Space-Time Fractional ProblemsMine Aylin Bayrak0Ali Demir1Ebru Ozbilge2Department of MathematicsDepartment of MathematicsDepartment of Mathematics and StatisticsThe task of present research is to establish an enhanced version of residual power series (RPS) technique for the approximate solutions of linear and nonlinear space-time fractional problems with Dirichlet boundary conditions by introducing new parameter λ. The parameter λ allows us to establish the best numerical solutions for space-time fractional differential equations (STFDE). Since each problem has different Dirichlet boundary conditions, the best choice of the parameter λ depends on the problem. This is the major contribution of this research. The illustrated examples also show that the best approximate solutions of various problems are constructed for distinct values of parameter λ. Moreover, the efficiency and reliability of this technique are verified by the numerical examples.http://dx.doi.org/10.1155/2022/6174688 |
| spellingShingle | Mine Aylin Bayrak Ali Demir Ebru Ozbilge An Improved Version of Residual Power Series Method for Space-Time Fractional Problems Advances in Mathematical Physics |
| title | An Improved Version of Residual Power Series Method for Space-Time Fractional Problems |
| title_full | An Improved Version of Residual Power Series Method for Space-Time Fractional Problems |
| title_fullStr | An Improved Version of Residual Power Series Method for Space-Time Fractional Problems |
| title_full_unstemmed | An Improved Version of Residual Power Series Method for Space-Time Fractional Problems |
| title_short | An Improved Version of Residual Power Series Method for Space-Time Fractional Problems |
| title_sort | improved version of residual power series method for space time fractional problems |
| url | http://dx.doi.org/10.1155/2022/6174688 |
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