A Truncation Method Based on Hermite Expansion for Unknown Source in Space Fractional Diffusion Equation
Abstract
In this paper we consider the problem for identifying an unknown steady source in a space fractional diffusion equation. A truncation method based on a Hermite function expansion is proposed, and the regularization parameter is chosen by a discrepancy principle. An error estimate between the exact solution and its approximation is given. A numerical implementation is discussed and corresponding results are presented to verify the effectiveness of the method.
Keywords:
ill-posed problem, unknown source, truncation method, Hermite functions expansion, discrepancy principleHow to Cite
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Copyright (c) 2014 The Author(s). Published by Vilnius Gediminas Technical University.
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Copyright (c) 2014 The Author(s). Published by Vilnius Gediminas Technical University.
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This work is licensed under a Creative Commons Attribution 4.0 International License.