SUBHIERARCHICAL METHOD OF INTEGRAL EQUATION SOLUTION ON FLAT SCREENS OF AN ARBITRARY SHAPE

Medvedik Mikhail Yuryevich, Candidate of physico-mathematical sciences, associate professor, sub-department of mathematics and supercomputer modeling, Penza State University, _medv@mail.ru

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The initial value problem for Helmholtz equation is considered. The issue results in an integral equation. The integral equation is solved by Galerkin method. Numerical results of solving of are obtained by using subhierarchical algorithm by plane screen of arbitrary shape in two case: k ≠0 и k = 0.

subhierarchical algorithm integral equations, numerical method, boundary value problem.