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arXiv · 1910.14204

Backward problem for time fractional reaction-diffusion equation with nonlinear source and discrete data

Nguyen Huy Tuan·Tran Ngoc Thach·Donal O'Regan·Nguyen Huu Can
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Abstract

In this paper, we study the problem of finding the solution of a multi-dimensional time fractional reactiondiffusion 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.

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Nguyen Huy Tuan, Tran Ngoc Thach, Donal O'Regan, Nguyen Huu Can. 2019-10-31. Backward problem for time fractional reaction-diffusion equation with nonlinear source and discrete data. https://arxiv.org/abs/1910.14204

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