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Approximate Solution of an Unknown Coefficients in Parabolic Equation |
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PP: 1605-1609 |
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Author(s) |
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Mine Aylin Bayrak,
Emine Can,
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Abstract |
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In this paper, an inverse parabolic equation is solved by using the homotopy analysis method (HAM) and the homotopy
perturbation method (HPM). The approximation solution of this equation is calculated in the form of series which its components are
computed easily. HPM is shown not always to generate a continuous family of solutions in terms of the homotopy parameter. By the
convergence-control parameter this can however be prevented to occur in the HAM. Illustrative examples are presented to exhibit a
comparison between the HAM and the HPM. |
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