Solving Volterra's Population Model via Rational Christov Functions Collocation ‎Method

Document Type : Research Paper

Authors

1 Department of Computer Sciences, Faculty of Mathematical, Shahid Beheshti University, Tehran, ‎Iran‎.

2 Department of Computer Sciences, Faculty of Mathematical, Shahid Beheshti University, Tehran, ‎Iran.‎

3 Department of Computer Sciences, Salman Farsi University of Kazerun, Kazerun, ‎Iran.‎

Abstract

The present study is an attempt to find a solution for Volterra's Population Model by utilizing Spectral methods based on Rational Christov functions. Volterra's model is a nonlinear integro-differential equation. First, the Volterra's Population Model is converted to a nonlinear ordinary differential equation (ODE), then researchers solve this equation (ODE). The accuracy of method is tested in terms of $RES$ error and compare the obtained results with some well-known results.The numerical results obtained show that the proposed method produces a convergent ‎solution.‎

Keywords

International Journal of Industrial Mathematics
Volume 9, Issue 4
September 2017
Pages 301-306

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