A collocation method for solving some integral equations in distributions

Details A collocation method for solving some integral equations in distributions A collocation method for solving some integral equations in distributions

2011-08-26

arxiv.org/abs/1108.5221v1

Mathematics

Numerical Analysis

26 pages, 4 figures

Scientific paper

A collocation method is presented for numerical solution of a typical integral equation Rh :=\int_D R(x, y)h(y)dy = f(x), x {\epsilon} D of the class R, whose kernels are of positive rational functions of arbitrary selfadjoint elliptic operators defined in the whole space R^r, and D \subset R^r is a bounded domain. Several numerical examples are given to demonstrate the efficiency and stability of the proposed method.

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