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Recovery of a Variable Coefficient in a Coastal Evolution Equation

✍ Scribed by M Spivack; D.E Reeve

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
164 KB
Volume
151
Category
Article
ISSN
0021-9991

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✦ Synopsis

A method is presented for reconstructing an unknown coefficient in a linear diffusion equation from measured data. This equation arises in the description of coastline evolution, and preliminary results are presented here. The unknown term may vary with both space and time, although time variation is assumed to be slow. Inversion is carried out by first expressing the solution of the direct problem formally in terms of the governing operators and making explicit approximations to these expressions. Using data at two time steps this then allows equations to be derived and solved to give explicit expressions for the required function.

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