Solving Volterra's Population Model via Rational Christov Functions Collocation Method.

K Parand, E Hajizadeh, A Jahangiri… - … Journal of Industrial …, 2017 - search.ebscohost.com
K Parand, E Hajizadeh, A Jahangiri, S Khaleqi
International Journal of Industrial Mathematics, 2017search.ebscohost.com
The present study is an attempt to find a solution for Volterra's Population Model by utilizing
Spectral methods based on Rational Christov functions. Volterra's model is a nonlinear
integro-differential equation. First, the Volterra's Population Model is converted to a
nonlinear ordinary differential equation (ODE), then researchers solve this equation (ODE).
The accuracy of method is tested in terms of RES error and compare the obtained results
with some well-known results. The numerical results obtained show that the proposed …
Abstract
The present study is an attempt to find a solution for Volterra's Population Model by utilizing Spectral methods based on Rational Christov functions. Volterra's model is a nonlinear integro-differential equation. First, the Volterra's Population Model is converted to a nonlinear ordinary differential equation (ODE), then researchers solve this equation (ODE). The accuracy of method is tested in terms of RES error and compare the obtained results with some well-known results. The numerical results obtained show that the proposed method produces a convergent solution.
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