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Coefficient Determination in Parabolic Equations Solved as a Moment Problem Two-Dimensional in a Rectangular Domain
Grupo de Aplicaciones Matematicas y Estadisticas de la Facultad de Ingenieria (GAMEFI), Universidad Nacional de La Plata, Buenos Aires, Argentina
Departamento de Matematica, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, Buenos Aires, Argentina
- 1 Grupo de Aplicaciones Matematicas y Estadisticas de la Facultad de Ingenieria (GAMEFI), Universidad Nacional de La Plata, Buenos Aires, Argentina
- 2 Departamento de Matematica, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, Buenos Aires, Argentina
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Abstract
The problem is to considerer a parabolic equation depending on a coefficient a (t) , and find the solution of the equation and the coefficient. The objective is to solve the problem as an application of the inverse moment problem. An approximate solution and limits will be found for the error of the estimated solution using the techniques of inverse problem moments. In addition, the method is illustrated with several examples.
KeywordsGeneralized Moment ProblemIntegral EquationsInverse ProblemParabolic PDEsTruncated Expansion Method
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