A computational approach for solving third kind VIEs by collocation method based on radial basis functions

This work presents a numerical scheme collocation method based on Radial basis functions for solving third kind VIEs. This method is an interpolation approach where the radial basis functions are used as basis functions and there is no meshing. The formulation of the technique for suggesting equations is described. In addition, we also study the error analysis of the suggested approach. Finally, illustrative examples demonstrate the reliability and effectiveness of the new approach. Some of these problems have been exposed and compared to other methods, which shows the accuracy of this method.