TY - JOUR
ID - 39498
TI - The time-dependent diffusion equation: An inverse diffusivity problem
JO - Iranian Journal of Numerical Analysis and Optimization
JA - IJNAO
LA - en
SN - 2423-6977
AU - Tabasi, S.H.
AU - Mazraeh, H.D.
AU - Irani, A.A.
AU - Pourgholi, R.
AU - Esfahani, A.
AD - School of Mathematics and Computer Science, Damghan University, P.O.Box 36715-364,
Damghan, Iran.
Y1 - 2021
PY - 2021
VL - 11
IS - 1
SP - 33
EP - 54
KW - Inverse parabolic problem
KW - existence
KW - Uniqueness
KW - Greenâ€™s function
KW - Fixed point
KW - Contraction mapping
KW - Genetic algorithm
DO - 10.22067/ijnao.2021.11309.0
N2 - 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.
UR - https://ijnao.um.ac.ir/article_39498.html
L1 - https://ijnao.um.ac.ir/article_39498_4e70303762f92c47958ef68e7d4ce560.pdf
ER -