Author/Authors :
Parand, K. Department of Computer Sciences - Faculty of Mathe- matical - Shahid Beheshti University, Tehran, Iran , Hajizadeh, E. Department of Computer Sciences - Faculty of Mathe- matical - Shahid Beheshti University, Tehran, Iran , Jahangiri, A. Department of Computer Sciences - Salman Farsi Uni- versity of Kazerun, Kazerun, Iran , Khaleqi, S. Department of Computer Sciences - Faculty of Mathe- matical - Shahid Beheshti University, Tehran, Iran
Abstract :
The present study is an attempt to nd a solution for Volterra's Population Model by utilizing Spectral
methods based on Rational Christov functions. Volterra's model is a nonlinear integro-dierential
equation. First, the Volterra's Population Model is converted to a nonlinear ordinary dierential
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 :
Volterra's Population Model , Collocation Method , Rational Christov Functions , Nonlinear ODE
