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Licensed Unlicensed Requires Authentication Published by De Gruyter November 11, 2016

Ritz-least squares method for finding a control parameter in a one-dimensional parabolic inverse problem

  • Meisam Noei Khorshidi and Sohrab Ali Yousefi EMAIL logo

Abstract

An inverse problem concerning a diffusion equation with source control parameter is considered. The approximation of the problem is based on the Ritz method with satisfier function. The Ritz method together with the least squares approximation (Ritz-least squares method) are utilized to reduce the inverse problem to the solution of algebraic equations. We extensively discuss the convergence of the method and finally present illustrative examples to demonstrate validity and applicability of the new technique.

MSC 2010: 65N21; 65N30

Acknowledgements

The authors are deeply grateful to the editor-in-chief and two anonymous referees for helpful comments and suggestions which led to a significant improvement of the original manuscript of this paper.

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Received: 2015-3-10
Revised: 2016-3-10
Accepted: 2016-10-18
Published Online: 2016-11-11
Published in Print: 2016-12-1

© 2016 by De Gruyter

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