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Vol.3 , No. 5, Publication Date: Dec. 6, 2017, Page: 47-51
 is implemented to solve the linear and nonlinear parabolic equations with proper initial conditions. The resemblance of the analytical solutions attained by HPM with exact solution allows the order of this method. The results show accuracy and efficiency of HPM in solving the parabolic equation.&picture=http://www.aascit.org/aascit/decorators/img/journal/928.jpg)
| [1] | Adnan Rashid, Department of Mathematics, Faculty of Basic Sciences, University of Wah, Wah Cantt., Pakistan. |
| [2] | Muhammad Ashraf, Department of Mathematics, Faculty of Basic Sciences, University of Wah, Wah Cantt., Pakistan. |
| [3] | Qazi Mahmood Ul-Hassan, Department of Mathematics, Faculty of Basic Sciences, University of Wah, Wah Cantt., Pakistan. |
| [4] | Kamran Ayub, Department of Mathematics, Riphah International University, Islamabad, Pakistan. |
| [5] | Muhammad Yaqub Khan, Department of Mathematics, Riphah International University, Islamabad, Pakistan. |
Solutions of nonlinear models are of great importance and their significance has increased a lot. In given paper, the homotopy perturbation method (HPM) is implemented to solve the linear and nonlinear parabolic equations with proper initial conditions. The resemblance of the analytical solutions attained by HPM with exact solution allows the order of this method. The results show accuracy and efficiency of HPM in solving the parabolic equation.
Keywords
Homotopy Perturbation Method, Parabolic Equation, Analytical Solutions, Maple 17
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