solving the inverse problem of determining an unknown control parameter in a semilinear parabolic equation

Authors

a. babaei

abstract

the inverse problem of identifying an unknown source control param- eter in a semilinear parabolic equation under an integral overdetermina- tion condition is considered. the series pattern solution of the proposed problem is obtained by using the weighted homotopy analysis method (wham). a description of the method for solving the problem and nding the unknown parameter is derived. finally, two numerical examples are investigated to illustrate this method.

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Solving the inverse problem of determining an unknown control parameter in a semilinear parabolic equation

The inverse problem of identifying an unknown source control param- eter in a semilinear parabolic equation under an integral overdetermina- tion condition is considered. The series pattern solution of the proposed problem is obtained by using the weighted homotopy analysis method (WHAM). A description of the method for solving the problem and nding the unknown parameter is derived. Finally, tw...

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Solving the inverse problem of determining an unknown control parameter in a semilinear parabolic equation

The inverse problem of identifying an unknown source control parameter in a semilinear parabolic equation under an integral overdetermination condition is considered. The series pattern solution of the proposed problem is obtained by using the weighted homotopy analysis method (WHAM). A description of the method for solving the problem and finding the unknown parameter is derived. Finally, two ...

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Journal title:
caspian journal of mathematical sciences

Publisher: university of mazandaran

ISSN 1735-0611

volume 3

issue 2 2014

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