Collocation Method using Compactly Supported Radial Basis Function for Solving Volterra's Population Model
For researchers solving nonlinear integro-differential equations, this is an incremental application of existing CSRBF methods to a specific model.
This paper applies an indirect collocation method using compactly supported radial basis functions (Wendland3,5) to solve Volterra's population model, a nonlinear integro-differential equation. Numerical results demonstrate good accuracy and convergence rate.
In this paper, indirect collocation approach based on compactly supported radial basis function is applied for solving Volterras population model. The method reduces the solution of this problem to the solution of a system of algebraic equations. Volterras 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 2 show good accuracy and rate of convergence.