Numerical approximations for population growth model by Rational Chebyshev and Hermite Functions collocation approach: A comparison

摘要

This paper aims to compare rational Chebyshev (RC) and Hermite functions (HF)collocation approach to solve the Volterra's model for population growth of aspecies within a closed system. This model is a nonlinear integro-differentialequation where the integral term represents the effect of toxin. This approachis based on orthogonal functions which will be defined. The collocation methodreduces the solution of this problem to the solution of a system of algebraicequations. We also compare these methods with some other numerical results andshow that the present approach is applicable for solving nonlinearintegro-differential equations.