Regularized solution approximation of a fractional pseudo-parabolic problem with a nonlinear source term and random data
https://doi.org/10.1016/j.chaos.2020.109847Publisher, magazine: ,
Publication year: 2020
Lưu Trích dẫn Chia sẻAbstract
In this paper, we consider a multi-dimensional fractional pseudo-parabolic problem with nonlinear source in case the input data is measured on a discrete set of points instead of the whole domain. For any number of dimensions, the solution is not stable. This makes the problem we are interested in be ill-posed. Here, we construct regularized solutions for this problem in two cases of number of dimensions (denoted by m) including and m is arbitrary. In each case, we show the uniqueness of the regularized solution and give the error estimates. Finally, the convergence rate is also investigated numerically.
Tags: Inverse problem, Pseudo-parabolic equation, Regularized solution, Discrete data
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