Numerical solution to an inverse problem for quasilinear parabolic equation

Айда-заде, К. Р.; Guliyev, Samir

doi:10.1109/icpci.2012.6486430

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Solution To the Problem Of Reconstructing The Coefficient C(x)1

Numerical Solution To Problem Of1

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Cited by 2 publications

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“…In the present paper, we suggest a numerical method for solving problem (1)-(6) on the basis of the method of lines [26][27][28] for the reduction of the original problem to a system of ordinary differential equations with unknown parameters, to find which we suggest to use a special representation of the solution based on the results in [29][30][31].…”

Section: Solution To the Problem Of Reconstructing The Coefficient C(x)mentioning

confidence: 99%

Solution to classes of inverse coefficient problems and problems with nonlocal conditions for parabolic equations

Айда-заде

Rahimov

2015

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We study the numerical solution to inverse problems in which one reconstructs the coefficients of a parabolic equation depending only on one (space or time) variable. In particular, these classes of problems arise in the study of boundary value problems with nonlocal (integral) boundary conditions. We suggest an approach to the numerical solution to these problems with the use of the line method and the reduction of the original problem to the solution to auxiliary Cauchy problems for systems of ordinary differential equations. We present the results of numerical experiments with test problems.

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Section: Solution To the Problem Of Reconstructing The Coefficient C(x)mentioning

confidence: 99%

Solution to classes of inverse coefficient problems and problems with nonlocal conditions for parabolic equations

Айда-заде

Rahimov

2015

Diff Equat

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“…To determine unknown parameters we propose the analogue of a sweep method based on the results of the works [7][8][9].…”

Section: Numerical Solution To Problem Ofmentioning

confidence: 99%

Numerical method of parametrical identification for nonlocal parabolic problems

Айда-заде

Rahimov

2012

2012 IV International Conference "Problems of Cybernetics and Informatics" (PCI)

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The inverse problem for a parabolic equation with an unknown coefficient on the right-hand side is considered in this work. The dependence identifying coefficient only from variable of time and only from phase coordinates is investigated separately. The numerical method to solution of the problem by using the method of lines is suggested. The results of numerical experiments on test problems are given.

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Numerical solution to an inverse problem for quasilinear parabolic equation

Cited by 2 publications

References 4 publications

Solution to classes of inverse coefficient problems and problems with nonlocal conditions for parabolic equations

Solution to classes of inverse coefficient problems and problems with nonlocal conditions for parabolic equations

Numerical method of parametrical identification for nonlocal parabolic problems

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