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.
Parand, K., & Hemami, M. (2017). Collocation Method using Compactly Supported Radial Basis Function for Solving Volterra's Population Model. Caspian Journal of Mathematical Sciences, 6(2), 77-86. doi: 10.22080/cjms.2017.1695
MLA
Kourosh Parand; Mohammad Hemami. "Collocation Method using Compactly Supported Radial Basis Function for Solving Volterra's Population Model". Caspian Journal of Mathematical Sciences, 6, 2, 2017, 77-86. doi: 10.22080/cjms.2017.1695
HARVARD
Parand, K., Hemami, M. (2017). 'Collocation Method using Compactly Supported Radial Basis Function for Solving Volterra's Population Model', Caspian Journal of Mathematical Sciences, 6(2), pp. 77-86. doi: 10.22080/cjms.2017.1695
VANCOUVER
Parand, K., Hemami, M. Collocation Method using Compactly Supported Radial Basis Function for Solving Volterra's Population Model. Caspian Journal of Mathematical Sciences, 2017; 6(2): 77-86. doi: 10.22080/cjms.2017.1695
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