Title of article :
The time-dependent diffusion equation: An inverse diffusivity problem
Author/Authors :
Tabasi ، S.H. School of Mathematics and Computer Science - Damghan University , Mazraeh ، H.D. School of Mathematics and Computer Science - Damghan University , Irani ، A.A. School of Mathematics and Computer Science - Damghan University , Pourgholi ، R. School of Mathematics and Computer Science - Damghan University , Esfahani ، A. School of Mathematics and Computer Science - Damghan University
Abstract :
We find a solution of an unknown timedependent 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 leastsquares 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) dualcore CPU with a clock speed of 2.4 GHz.
Keywords :
Inverse parabolic problem , existence , Uniqueness , Green’s function , Fixed point , Contraction mapping , Genetic algorithm
Journal title :
Iranian Journal of Numerical Analysis and Optimization
Journal title :
Iranian Journal of Numerical Analysis and Optimization
