A Two Dimensional Discrete Mollification Operator and the Numerical Solution of an Inverse Source Problem
Copyright policy )A Two Dimensional Discrete Mollification Operator and the Numerical Solution of an Inverse Source Problem
We consider a two-dimensional time fractional diffusion equation and address the important inverse problem consisting of the identification of an ingredient in the source term. The fractional derivative is in the sense of Caputo. The necessary regularization procedure is provided by a two-dimensional discrete mollification operator. Convergence results and illustrative numerical examples are included.
- National University of Colombia Colombia
Inverse problems for PDEs, inverse problem; mollification; fractional derivatives, fractional derivatives, QA1-939, inverse problem, Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs, mollification, Fractional partial differential equations, Mathematics
Inverse problems for PDEs, inverse problem; mollification; fractional derivatives, fractional derivatives, QA1-939, inverse problem, Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs, mollification, Fractional partial differential equations, Mathematics
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