摘要:The main purpose of this article is to suggest an approximation method for solving continuous population models. Using the collocation method and matrix operations, the problems are reduced into a system of nonlinear algebraic equations. The desired approximate solutions are obtained by solving this system via Maple 15. The error analysis for the proposed method is also introduced using the residual function. Numerical experiments are given to demonstrate the efficiency of the method. The results obtained from the proposed method are compared with the known results.
关键词:continuous population models;nonlinear differential equations and their systems;Taylor polynomials and series;collocation points