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

Publish Year: 1396
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_IJIM-9-4_005

تاریخ نمایه سازی: 26 دی 1402

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.‎

Authors

K. Parand

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

E. ‎Hajizadeh‎

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

A. Jahangiri

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

S. Khaleqi

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