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

Document Type : Research Articles

Authors

Department of Computer Sciences, Shahid Beheshti University, G.C. Tehran 19697-64166, Iran

Abstract

‎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: ‎Wendland3,5‎. ‎Numerical results and residual norm (|R(t)|2) show good accuracy and rate of convergence‎.

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