A Multiple-Step Legendre-Gauss Collocation Method for Solving Volterra’s Population Growth Model
Joint Authors
Maleki, Mohammad
Kajani, Majid Tavassoli
Kiliçman, Adem
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-07
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
A new shifted Legendre-Gauss collocation method is proposed for the solution of Volterra’s model for population growth of a species in a closed system.
Volterra’s model is a nonlinear integrodifferential equation on a semi-infinite domain, where the integral term represents the effects of toxin.
In this method, by choosing a step size, the original problem is replaced with a sequence of initial value problems in subintervals.
The obtained initial value problems are then step by step reduced to systems of algebraic equations using collocation.
The initial conditions for each step are obtained from the approximated solution at its previous step.
It is shown that the accuracy can be improved by either increasing the collocation points or decreasing the step size.
The method seems easy to implement and computationally attractive.
Numerical findings demonstrate the applicability and high accuracy of the proposed method.
American Psychological Association (APA)
Kajani, Majid Tavassoli& Maleki, Mohammad& Kiliçman, Adem. 2013. A Multiple-Step Legendre-Gauss Collocation Method for Solving Volterra’s Population Growth Model. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-1010725
Modern Language Association (MLA)
Kajani, Majid Tavassoli…[et al.]. A Multiple-Step Legendre-Gauss Collocation Method for Solving Volterra’s Population Growth Model. Mathematical Problems in Engineering No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-1010725
American Medical Association (AMA)
Kajani, Majid Tavassoli& Maleki, Mohammad& Kiliçman, Adem. A Multiple-Step Legendre-Gauss Collocation Method for Solving Volterra’s Population Growth Model. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-1010725
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1010725