Solving Volterra's Population Model via Rational Christov Functions Collocation Method
محل انتشار: مجله بین المللی ریاضیات صنعتی، دوره: 9، شماره: 4
سال انتشار: 1396
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 38
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شناسه ملی سند علمی:
JR_IJIM-9-4_005
تاریخ نمایه سازی: 26 دی 1402
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.
نویسندگان
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.