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

محورهای موضوعی : مجله بین المللی ریاضیات صنعتی

K. Parand ¹ , E. ‎Hajizadeh‎ ² , A. Jahangiri ³ , S. Khaleqi ⁴

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

تاریخ دریافت : 1396/07/10 تاریخ پذیرش : 1396/07/10 تاریخ انتشار : 1396/06/10

کلید واژه: Volterra's Population Model, Collocation method, Rational Christov Functions, Nonlinear ‎ODE‎,

چکیده مقاله :

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.‎