✦ LIBER ✦

An explicit third-order numerical method for size-structured population equations

✍ Scribed by Tanya Kostova

Publisher: John Wiley and Sons
Year: 2002
Tongue: English
Weight: 154 KB
Volume: 19
Category: Article
ISSN: 0749-159X
DOI: 10.1002/num.10037

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

A numerical method incorporating a combination of a difference scheme and several uniform and nonuniform quadrature rules is presented. The method is designed to solve size‐structured population equations with linear growth rate and nonlinear fertility and mortality rates. A detailed analysis of the global discretization error is carried out. Examples with known exact solutions have been solved numerically using the proposed method. The computations show that the global error is of third order as predicted by the theory. © 2002 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 19: 1–21, 2003

📜 SIMILAR VOLUMES

A fourth-order method for numerical inte

A fourth-order method for numerical integration of age- and size-structured population models

✍ Mimmo Iannelli; Tanya Kostova; Fabio Augusto Milner 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 124 KB

Second-order, numerical methods for the

Second-order, numerical methods for the solution of equations in population modelling

✍ Wang, Yigong ;Twizell, E. H. ;Price, W. G. 📂 Article 📅 1992 🏛 Wiley (John Wiley & Sons) 🌐 English ⚖ 431 KB 👁 3 views

An Explicit Fourth-Order Orthogonal Curv

An Explicit Fourth-Order Orthogonal Curvilinear Staggered-Grid FDTD Method for Maxwell's Equations

✍ Zhongqiang Xie; Chi-Hou Chan; Bo Zhang 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 247 KB

The explicit fourth-order staggered finite-difference time-domain scheme, previously proposed for a Cartesian grid, is extended to Maxwell's equations in an orthogonal curvilinear coordinate system and applied to electromagnetic wave problems. A simple technique is also presented for generating orth

Trigonometrically and Exponentially fitt

Trigonometrically and Exponentially fitted Symplectic Methods of third order for the Numerical Integration of the Schrödinger Equation

✍ Th. Monovasilis; Z. Kalogiratou; T. E. Simos 📂 Article 📅 2005 🏛 John Wiley and Sons ⚖ 100 KB 👁 1 views

On some unconditionally stable, higher o

On some unconditionally stable, higher order methods for the numerical solution of the structural dynamics equations

✍ Vassilios A. Dougalis; Steven M. Serbin 📂 Article 📅 1982 🏛 John Wiley and Sons 🌐 English ⚖ 427 KB

An equation decomposition method for the

An equation decomposition method for the numerical solution of a fourth-order elliptic singular perturbation problem

✍ Houde Han; Zhongyi Huang 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 153 KB