An Efficient Method for Systems of Variable Coefficient Coupled Burgers’ Equation with Time-Fractional Derivative
A new homotopy perturbation method (NHPM) is applied to system of variable coefficient coupled Burgers' equation with time-fractional derivative. The fractional derivatives are described in the Caputo fractional derivative sense. The concept of new algorithm is introduced briefly, and NHPM is e...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2013/687695 |
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| author | Hossein Aminikhah Nasrin Malekzadeh |
| author_facet | Hossein Aminikhah Nasrin Malekzadeh |
| author_sort | Hossein Aminikhah |
| collection | DOAJ |
| description | A new homotopy perturbation method (NHPM) is applied to system of variable coefficient coupled Burgers' equation with time-fractional derivative. The fractional derivatives are described in the Caputo fractional derivative sense. The concept of new algorithm is introduced briefly, and NHPM is examined for two systems of nonlinear Burgers' equation. In this approach, the solution is considered as a power series expansion that converges rapidly to the nonlinear problem. The new approximate analytical procedure depends on two iteratives. The modified algorithm provides approximate solutions in the form of convergent series with easily computable components. Results indicate that the introduced method is promising for solving other types of systems of nonlinear fractional-order partial differential equations. |
| format | Article |
| id | doaj-art-bce622ac444e4f7fb551018f634d2d16 |
| institution | Kabale University |
| issn | 1537-744X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-bce622ac444e4f7fb551018f634d2d162025-02-03T01:27:29ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/687695687695An Efficient Method for Systems of Variable Coefficient Coupled Burgers’ Equation with Time-Fractional DerivativeHossein Aminikhah0Nasrin Malekzadeh1Department of Applied Mathematics, School of Mathematical Sciences, University of Guilan, P.O. Box 1914, Rasht 41938, IranDepartment of Applied Mathematics, School of Mathematical Sciences, University of Guilan, P.O. Box 1914, Rasht 41938, IranA new homotopy perturbation method (NHPM) is applied to system of variable coefficient coupled Burgers' equation with time-fractional derivative. The fractional derivatives are described in the Caputo fractional derivative sense. The concept of new algorithm is introduced briefly, and NHPM is examined for two systems of nonlinear Burgers' equation. In this approach, the solution is considered as a power series expansion that converges rapidly to the nonlinear problem. The new approximate analytical procedure depends on two iteratives. The modified algorithm provides approximate solutions in the form of convergent series with easily computable components. Results indicate that the introduced method is promising for solving other types of systems of nonlinear fractional-order partial differential equations.http://dx.doi.org/10.1155/2013/687695 |
| spellingShingle | Hossein Aminikhah Nasrin Malekzadeh An Efficient Method for Systems of Variable Coefficient Coupled Burgers’ Equation with Time-Fractional Derivative The Scientific World Journal |
| title | An Efficient Method for Systems of Variable Coefficient Coupled Burgers’ Equation with Time-Fractional Derivative |
| title_full | An Efficient Method for Systems of Variable Coefficient Coupled Burgers’ Equation with Time-Fractional Derivative |
| title_fullStr | An Efficient Method for Systems of Variable Coefficient Coupled Burgers’ Equation with Time-Fractional Derivative |
| title_full_unstemmed | An Efficient Method for Systems of Variable Coefficient Coupled Burgers’ Equation with Time-Fractional Derivative |
| title_short | An Efficient Method for Systems of Variable Coefficient Coupled Burgers’ Equation with Time-Fractional Derivative |
| title_sort | efficient method for systems of variable coefficient coupled burgers equation with time fractional derivative |
| url | http://dx.doi.org/10.1155/2013/687695 |
| work_keys_str_mv | AT hosseinaminikhah anefficientmethodforsystemsofvariablecoefficientcoupledburgersequationwithtimefractionalderivative AT nasrinmalekzadeh anefficientmethodforsystemsofvariablecoefficientcoupledburgersequationwithtimefractionalderivative AT hosseinaminikhah efficientmethodforsystemsofvariablecoefficientcoupledburgersequationwithtimefractionalderivative AT nasrinmalekzadeh efficientmethodforsystemsofvariablecoefficientcoupledburgersequationwithtimefractionalderivative |