روش هم مکانی مبتنی بر توابع پایه ای شعاعی محمل فشرده برای حل مدل جمعیتی ولترا
Publish place: Caspian Journal of Mathematical Sciences، Vol: 6، Issue: 2
Publish Year: 1396
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_CJMS-6-2_002
تاریخ نمایه سازی: 16 مهر 1398
Abstract:
In this paper, indirect collocation approach based on compactly supported radial basis function (CSRBF) is applied for solving Volterra s population model. The method reduces the solution of this problem to the solution of a system of algebraic equations. Volterra s model is a non-linear integro-differential equation where the integral term represents the effect of toxin. To solve the problem, we use the well-known CSRBF: $Wendland_{3,5}$. Numerical results and residual norm ($|R(t)|^2$) show good accuracy and rate of convergence.
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Authors
Kourosh Parand
Department of Computer Sciences, Shahid Beheshti University, G.C. Tehran ۱۹۶۹۷-۶۴۱۶۶, Iran
Mohammad Hemami
Department of Computer Sciences, Shahid Beheshti University, G.C. Tehran ۱۹۶۹۷-۶۴۱۶۶, Iran