Solution of a Volterra’s Population Model in a Bernstein Polynomial Basis: An Advanced Study

In this paper, Bernstein Polynomials are used as a basis to solve Volterra’s model for population growth of a species within a closed system. This model is a nonlinear Integro-differential equation where the integral term represents the effect of toxin. Using the prescribed method, the solution of this problem is reducing to a system of algebraic equations. The results demonstrate the applicability and accuracy of the technique.