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The Approximate Solution of Fredholm Integral Equations with Oscillatory Trigonometric Kernels
2014
Journal of Applied Mathematics
A method for approximating the solution of weakly singular Fredholm integral equation of the second kind with highly oscillatory trigonometric kernel is presented. The unknown function is approximated by expansion of Chebychev polynomial and the coefficients are determinated by classical collocation method. Due to the highly oscillatory kernels of integral equation, the discretised collocation equation will give rise to the computation of oscillatory integrals. These integrals are calculated by
doi:10.1155/2014/172327
fatcat:2vn6fdaylrhctctjzq5a2tru3a