A collocation method for solving some integral equations in distributions

نویسندگان

  • Sapto W. Indratno
  • Alexander G. Ramm
چکیده

A collocation method is presented for numerical solution of a typical integral equation Rh := R D R(x, y)h(y)dy = f(x), x ∈ D of the class R, whose kernels are of positive rational functions of arbitrary selfadjoint elliptic operators defined in the whole space R, and D ⊂ R is a bounded domain. Several numerical examples are given to demonstrate the efficiency and stability of the proposed method. MSC: 45A05, 45P05, 46F05, 62M40, 65R20, 74H15

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عنوان ژورنال:
  • J. Computational Applied Mathematics

دوره 236  شماره 

صفحات  -

تاریخ انتشار 2011