مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

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Information Journal Paper

Title

The time-dependent diffusion equation: An inverse diffusivity problem

Pages

  33-54

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.

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