Spectral Method for the Parabolic Inverse Problem Subject to Temperature Overspecification

Research Area: Volume 4 Issue 1, Jan. 2015 Year: 2015
Type of Publication: Article Keywords: Inverse Problem, Control Parameter, Parabolic Partial Differential Equations, Bernstein Polynomials
Authors:
  • K. Karimi
  • M. Vafapisheh
Journal: IJEIR Volume: 4
Number: 1 Pages: 35-39
Month: Jan.-Feb.
ISSN: 2277-5668
Abstract:
In this paper, a numerical method is presented to give the approximate solution of a parabolic inverse problem with a control parameter. The method is derived by expanding the required approximate solution as the elements of Bernstein basis. Using the operational matrix of derivative, the problem can be reduced to a set of algebraic equations. Numerical examples are included to demonstrate the validity and applicability of the technique and the results are compared with the exact solution and other method. The method is easy to implement and produces very accurate results.

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