A collocation method for solving integral equations
نویسنده
چکیده
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, and with creating materials with a desired refraction coefficient (MR2362884 (2008j:78010) Ramm, A. G. Many-body wave scattering by small bodies and applications. J. Math. Phys. 48 (2007), no. 10, 103511; MR2404761 Ramm, A. G. Wave scattering by many small particles embedded in a medium. Phys. Lett. A 372 (2008), no. 17, 3064–3070.)
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ورودعنوان ژورنال:
- IJCSM
دوره 2 شماره
صفحات -
تاریخ انتشار 2009