@article {
author = {Tabasi, S.H. and Mazraeh, H.D. and Irani, A.A. and Pourgholi, R. and Esfahani, A.},
title = {The time-dependent diffusion equation: An inverse diffusivity problem},
journal = {Iranian Journal of Numerical Analysis and Optimization},
volume = {11},
number = {1},
pages = {33-54},
year = {2021},
publisher = {Ferdowsi University of Mashhad},
issn = {2423-6977},
eissn = {2423-6969},
doi = {10.22067/ijnao.2021.11309.0},
abstract = {We find a solution of an unknown time-dependent diffusivity a(t) in a linear inverse parabolic problem by a modified genetic algorithm. At first, it is shown that under certain conditions of data, there exists at least one solution for unknown a(t) in (a(t), T (x, t)), which is a solution to the corresponding problem. Then, an optimal estimation for unknown a(t) is found by applying the least-squares method and a modified genetic algo rithm. Results show that an excellent estimation can be obtained by the implementation of a modified real-valued genetic algorithm within an Intel Pentium (R) dual-core CPU with a clock speed of 2.4 GHz.},
keywords = {Inverse parabolic problem,existence,Uniqueness,Greenâ€™s function,Fixed point,Contraction mapping,Genetic algorithm},
url = {https://ijnao.um.ac.ir/article_39498.html},
eprint = {https://ijnao.um.ac.ir/article_39498_4e70303762f92c47958ef68e7d4ce560.pdf}
}