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Here we present a method for constructing the solution a simply connected domain with a given smooth boundary by an approximate solution of the Fredholm equation. Consider the problem in… Click to show full abstract
Here we present a method for constructing the solution a simply connected domain with a given smooth boundary by an approximate solution of the Fredholm equation. Consider the problem in the following formulation: given the dislocations at the boundary, one can find the necessary analytical functions with the given values at the boundary of the region. Here we give a mathematically correct base of the method and construct certain examples. In order to approximately construct the analytic functions in a finite simply connected domain we solve a system of Fredholm equations.
Journal Title: International Journal of Applied and Computational Mathematics
Year Published: 2021
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