A Novel Approach for Solution of Boundary Problems for Differential Equations of Mathematical Physics
نویسنده
چکیده
It is proposed a new approach for solution of the boundary problems for wide class of partial differential equations of mathematical physics, which includes the Laplace, Poisson and Helmholtz equations and parabolic equations. The approach is based on the discovered by author Local Ray Property and leads to new General Ray (GR) Method that uses the explicit analytical formulas with inverse Radon transformation. It is realized by fast algorithms and MATLAB software, which quality is demonstrated by numerical experiments.
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