Oscillatory Discontinuous Kernel Based Meshless Technique of Fredholm Integral Equation

In this paper, numerical meshless solution algorithm for the model in hand is put forward. The proposed algorithm is based on Levin's quadrature incorporating global multi-quadric radial basis function and is specially designed to handle the case when the kernel function is discontinuous. Applications abound are in the field of dispersion and electromagnetic waves etc. Numerical results at the end show that the proposed meshless method is efficient, accurate and provide a trustworthy procedure to solve oscillatory Fredholm integral equations having discontinuous kernel.