Collocation Method using Compactly Supported Radial Basis Function for Solving Volterra's Population Model
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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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Journal title
volume 6 issue 2
pages 77- 86
publication date 2017-07-01
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