نویسندگان | M. Karimi, F. Moradlou, M Hajipour |
---|---|
نشریه | Journal of Scientific Computing |
نوع مقاله | Full Paper |
تاریخ انتشار | 2020 |
رتبه نشریه | ISI (WOS) |
نوع نشریه | چاپی |
کشور محل چاپ | ایران |
چکیده مقاله
This manuscript deals with a regularization technique for a generalized space-fractional backward heat conduction problem (BHCP) which is well-known to be extremely ill-posed. The presented technique is developed based on the Meyer wavelets in retrieving the solution of the presented space-fractional BHCP. Some sharp optimal estimates of the Hölder-Logarithmic type are theoretically derived by imposing an a-priori bound assumption via the Sobolev scale. The existence, uniqueness and stability of the considered problem are rigorously investigated. The asymptotic error estimates for both linear and non-linear problems are all the same. Finally, the performance of the proposed technique is demonstrated through one- and two-dimensional prototype examples that validate our theoretical analysis. Furthermore, comparative results verify that the proposed method is more effective than the other existing methods in the literature.