Collocation Method using Compactly Supported Radial Basis Function for Solving Volterra's Population Model
Numerical Analysis
2022-11-15 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1509.04322,
title = {Collocation Method using Compactly Supported Radial Basis Function for Solving Volterra's Population Model},
author = {Kourosh Parand and Mohammad Hemami},
journal= {arXiv preprint arXiv:1509.04322},
year = {2022}
}
Comments
8 pages , 1 figure. arXiv admin note: text overlap with arXiv:1008.2337