Solving Volterra's Population Model via Rational Christov Functions Collocation Method
محورهای موضوعی : مجله بین المللی ریاضیات صنعتی
K. Parand
1
(Department of Computer Sciences, Faculty of Mathematical, Shahid Beheshti University, Tehran, Iran.)
E. ‎Hajizadeh‎
2
(Department of Computer Sciences, Faculty of Mathematical, Shahid Beheshti University, Tehran, Iran.)
A. Jahangiri
3
(Department of Computer Sciences, Salman Farsi University of Kazerun, Kazerun, Iran.)
S. Khaleqi
4
(Department of Computer Sciences, Faculty of Mathematical, Shahid Beheshti University, Tehran, Iran.)
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.‎
