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Paper   IPM / M / 8552
School of Mathematics
  Title:   A tau method for the one-dimensional parabolic inverse problem subject to temperature overspecification
  Author(s):  M. Dehghan (Joint with A. Saadatmandi)
  Status:   Published
  Journal: Comput. Math. Appl.
  Vol.:  52
  Year:  2006
  Pages:   933-940
  Supported by:  IPM
In this work, an appro:dmational technique based on shifted Legendre-tau ideas is presented for the one-dimensional parabolic inverse problem with a control parameter. The method consists of expanding the required approximate solution as the elements of a shifted Legendre polynomial. Using the operational matrices we reduce the problem to a set of algebraic equations. A numerical example is included to demonstrate the validity and applicability of the technique and a comparison is made with existing results. The method is easy to implement and produces very accurate results.

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