Collocation Method using Compactly Supported Radial Basis Function for Solving Volterra's Population Model

نویسندگان

  • Kourosh Parand Department of Computer Sciences, Shahid Beheshti University, G.C. Tehran 19697-64166, Iran
  • Mohammad Hemami Department of Computer Sciences, Shahid Beheshti University, G.C. Tehran 19697-64166, Iran
چکیده مقاله:

‎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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عنوان ژورنال

دوره 6  شماره 2

صفحات  77- 86

تاریخ انتشار 2017-07-01

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