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

نویسندگان

  • A. Jahangiri Department of Computer Sciences, Salman Farsi University of Kazerun, Kazerun, ‎Iran.‎
  • E. ‎Hajizadeh‎ Department of Computer Sciences, Faculty of Mathematical, Shahid Beheshti University, Tehran, ‎Iran.‎
  • K. Parand Department of Computer Sciences, Faculty of Mathematical, Shahid Beheshti University, Tehran, ‎Iran‎.
  • S. Khaleqi Department of Computer Sciences, Faculty of Mathematical, Shahid Beheshti University, Tehran, ‎Iran.‎
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.‎

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عنوان ژورنال

دوره 9  شماره 4

صفحات  301- 306

تاریخ انتشار 2017-09-01

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