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June 2018 A sinc-Gauss-Jacobi collocation method for solving Volterra's population growth model with fractional order
Abbas Saadatmandi, Ali Khani, Mohammad-Reza Azizi
Tbilisi Math. J. 11(2): 123-137 (June 2018). DOI: 10.32513/tbilisi/1529460027

Abstract

A new sinc-Gauss-Jacobi collocation method for solving the fractional Volterra's population growth model in a closed system is proposed. This model is a nonlinear fractional Volterra integro-differential equation where the integral term represents the effects of toxin. The fractional derivative is considered in the Liouville-Caputo sense. In the proposed method, we first convert fractional Volterra's population model to an equivalent nonlinear fractional differential equation, and then the resulting problem is solved using collocation method. The proposed collocation technique is based on sinc functions and Gauss-Jacobi quadrature rule. In this approach, the problem is reduced to a set of algebraic equations. The obtained numerical results of the present method are compared with some well-known results in the literature to show the applicability and efficiency of the proposed method.

Citation

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Abbas Saadatmandi. Ali Khani. Mohammad-Reza Azizi. "A sinc-Gauss-Jacobi collocation method for solving Volterra's population growth model with fractional order." Tbilisi Math. J. 11 (2) 123 - 137, June 2018. https://doi.org/10.32513/tbilisi/1529460027

Information

Received: 6 August 2017; Accepted: 25 March 2018; Published: June 2018
First available in Project Euclid: 20 June 2018

zbMATH: 07172269
MathSciNet: MR3954188
Digital Object Identifier: 10.32513/tbilisi/1529460027

Subjects:
Primary: 65M70
Secondary: 26A33, 92D40

Rights: Copyright © 2018 Tbilisi Centre for Mathematical Sciences

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Vol.11 • No. 2 • June 2018
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