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the time-dependent diffusion equation: an inverse diffusivity problem
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نویسنده
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tabasi s.h. ,mazraeh h.d. ,irani a.a. ,pourgholi r. ,esfahani a.
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منبع
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iranian journal of numerical analysis and optimization - 2021 - دوره : 11 - شماره : 1 - صفحه:33 -54
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چکیده
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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.
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کلیدواژه
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inverse parabolic problem ,existence ,uniqueness ,green’s function ,fixed point ,contraction mapping ,genetic algorithm
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آدرس
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damghan university, school of mathematics and computer science, iran, damghan university, school of mathematics and computer science, iran, damghan university, school of mathematics and computer science, iran, damghan university, school of mathematics and computer science, iran, damghan university, school of mathematics and computer science, iran
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پست الکترونیکی
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esfahani@du.ac.ir
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Authors
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