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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.