A collocation method for solving integral equations
نویسندگان
چکیده
منابع مشابه
A collocation method for solving integral equations
A collocation method is formulated and justified for numerical solution of the Fredholm second-kind integral equations. As an application the Lippmann-Schwinger equation is considered. The results obtained provide an error estimate and a justification of the limiting procedure used in the earlier papers by the author, dealing with many-body scattering problems in the case of small scatterers, a...
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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 meth...
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A class of integral equations Rh = f basic in estimation theory is introduced. The description of the range of the operator R is given. The operator R is a positive rational function of a selfadjoint elliptic operator L. This operator is defined in the whole space R, it has a kernel R(x, y), and Rh := R D R(x, y)h(y)dy, where D ⊂ R is a bounded domain with a sufficiently smooth boundary S. Exam...
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ژورنال
عنوان ژورنال: International Journal of Computing Science and Mathematics
سال: 2009
ISSN: 1752-5055,1752-5063
DOI: 10.1504/ijcsm.2009.027874