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

Authors

  • B. M. Pandya Department of Applied Mathematics, Sardar Vallabhbhai Patel Institute of Technology, Vasad, Gujarat University, Gujarat, India.
  • D. C. Joshi Department of Mathematics, Veer Narmad South Gujarat University Surat, Gujarat, India.

DOI:

https://doi.org/10.9734/bpi/ctmcs/v8/3595F

Keywords:

Bernstein polynomial, integro differential equation, galerkin method, volterra’s population model

Abstract

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.

Published

2021-08-07

How to Cite

B. M. Pandya, & D. C. Joshi. (2021). Solution of a Volterra’s Population Model in a Bernstein Polynomial Basis: An Advanced Study. Current Topics on Mathematics and Computer Science Vol. 8, 65–70. https://doi.org/10.9734/bpi/ctmcs/v8/3595F

Issue

Current Topics on Mathematics and Computer Science Vol. 8

Section

Chapters