A collocation method for solving some integral equations in distributions

作者:Indratno Sapto W; Ramm Alexander G*
来源:Journal of Computational and Applied Mathematics, 2011, 236(6): 1296-1313.
DOI:10.1016/j.cam.2011.08.013

摘要

A collocation method is presented for the numerical solution of a typical integral equation Rh := integral(D) R(x. y)h(y)dy = f (x), x is an element of (D) over bar 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 of R(r) is a bounded domain. Several numerical examples are given to demonstrate the efficiency and stability of the proposed method.

  • 出版日期2011-10-15