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Source terms identification for time fractional diffusion equation
Identificación de términos fuente en ecuaciones de difusión en las que la derivada con respecto al tiempo es fraccional
Schlagworte:
Ill-Posed Problems, heat source identification, Caputo fractional derivatives, time fractional diffusion equation, mollification techniques, 2000 Mathematics Subject Classification. 65M06, 65M12, 65M30, 65M32 (en)Problemas mal condicionados, identificación de una fuente de calor, ecuación de difusión con derivada fraccional en la dirección del tiempo, técnicas de molificación, derivadas fraccionales de Caputo (es)
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Abstract. We introduce a regularization technique for the approximate reconstruction of spatial and time varying source terms using the observed solutions of the forward time fractional diffusion problem on a discrete set of points. The numerical method is based on computation of the derivatives of adaptive filtered versions of the noisy data by discrete mollification.
Partial support from a C. P. Taft Fellowship. '
Partial support from Universidad Complutense de Madrid, España and Universidad Nacional de Colombia, DIME project number 30802867.
Presentamos una técnica de regularización para la reconstrucción numérica de términos fuente dependientes de espacio y tiempo a partir de aproximaciones de la solución del problema directo en un conjunto discreto de puntos. El método se basa en el cálculo de derivadas de versiones de los datos aproximados que se obtienen con el filtro adaptativo denominado molificación discreta.
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