Murio, Diego; Mejía, Carlos E. Source terms identification for time fractional diffusion equation. (English) Zbl 1189.65199 Rev. Colomb. Mat. 42, No. 1, 25-46 (2008). Summary: 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. Cited in 16 Documents MSC: 65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs 65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs 65M30 Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs 65M32 Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs Keywords:problemas mal condicionados; identificación de una fuente de calor; derivadas fraccionales de caputo; ecuación de difusión con derivada fraccional en la dirección del tiempo; técnicas de molificación PDFBibTeX XMLCite \textit{D. Murio} and \textit{C. E. Mejía}, Rev. Colomb. Mat. 42, No. 1, 25--46 (2008; Zbl 1189.65199) Full Text: EuDML EMIS