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Final value problem for nonlinear time fractional reaction–diffusion equation with discrete data
Journal of Computational and Applied Mathematics ( IF 1.883 ) Pub Date : 2020-03-24 , DOI: 10.1016/j.cam.2020.112883
Nguyen Huy Tuan; Dumitru Baleanu; Tran Ngoc Thach; Donal O’Regan; Nguyen Huu Can

In this paper, we study the problem of finding the solution of a multi-dimensional time fractional reaction–diffusion equation with nonlinear source from the final value data. We prove that the present problem is not well-posed. Then regularized problems are constructed using the truncated expansion method (in the case of two-dimensional) and the quasi-boundary value method (in the case of multi-dimensional). Finally, convergence rates of the regularized solutions are given and investigated numerically.
更新日期:2020-03-24

 

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