Collocation Method using Compactly Supported Radial Basis Function for Solving Volterra's Population Model

‎In this paper‎, ‎indirect collocation approach based on compactly supported radial basis function (CSRBF) is applied for solving Volterra's population model. The method reduces the solution of this problem to the solution of a system of algebraic equations‎. ‎Volterra's model is a non-linear integro-differential equation where the integral term represents the effect of toxin‎. ‎To solve the problem‎, ‎we use the well-known CSRBF‎: ‎$Wendland_{3,5}$‎. ‎Numerical results and residual norm ($|R(t)|^2$) show good accuracy and rate of convergence‎.