UDC 519.633
ON NUMERICAL SOLUTION TO AN INVERSE PROBLEM OF RECOVERING SOURCE
OF A SPECIAL TYPE OF PARABOLIC EQUATION
Abstract. We consider an inverse problem of recovering a source of a special type of parabolic equation with initial and boundary conditions. The specificity of the problem is that the identifiable parameters depend only on a time variable and are factors of coefficients of the right-hand side of the equation. We propose a numerical method to solve the problem, which is based on the use of the method of lines and a special representation of the solution. The method does not require to construct any iterative procedures. The results of numerical experiments conducted for test problems are provided.
Keywords: inverse problem, nonlocal conditions, method of lines, parabolic equation, parametric identification.
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