Approximate Solutions of Heat Conduction Problems in Multi-dimensional Cylinder Type Domain by Conservative Averaging Method, Part 1
نویسندگان
چکیده
In this paper the description of the simplest variant of conservative averaging method for partial differential (or integro-differential) equations in cylinder type domain is given. Different types of boundary conditions (both linear and non-linear) are considered. As application of the method the process of intensive steel quenching as the time inverse ill-posed problem for the hyperbolic heat conduction for is studied. The conservative averaging method leads to the inverse well-posed problem. This problem is solved in closed form. Key-Words: partial differential equations, conservative averaging, various boundary conditions, hyperbolic heat conduction, intensive steel quenching, inverse problem, well-posed.
منابع مشابه
Approximate Solutions of Heat Conduction Problems in Multi-dimensional Cylinder Type Domain by Conservative Averaging Method, Part 2
In this second part of paper the description of conservative averaging method for partial differential (or integro-differential) equation with discontinuous coefficients in cylinder type domain is given. The conservative averaging is carried out in two orthogonal directions. Different types of boundary conditions are examined. Key-Words: partial differential equations, discontinuous coefficient...
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