A new approach to the numerical solution of Fredholm-Volterra integral equations by using multiquadric quasi-interpolation

In this paper, we introduce an approach for solving Fredholm-Volterra integral equations(FVIE) of the second kind by using Multiquadric quasi-interpolation (MQ). Approximation of unknown function is done by using expansion method based on MQ. This method obtains acceptable approximate solution using simple computations. Also we prove a theorem for convergence analysis. We test the proposed method in some examples and compare the numerical and exact results.