Numerical solution of a semi-linear inverse parabolic problem via HPM (Q2224112)
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| English | Numerical solution of a semi-linear inverse parabolic problem via HPM |
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Numerical solution of a semi-linear inverse parabolic problem via HPM (English)
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3 February 2021
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Summary: In this work, we consider the problem of finding an unknown time-dependent function in a semi-linear parabolic equation with given initial, boundary and energy over-specified conditions. The homotopy perturbation method, a powerful technique, is applied to obtain the numerical solution of this problem. Using this method, a rapid convergent sequence can be constructed which tends to the exact solution of the problem. Some examples are presented to illustrate the strength of the method.
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semi-linear parabolic equations
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homotopy perturbation method
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control parameters
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convergence
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