Solving nonlocal initial-boundary value problems for the Lotka-von Foerster model

被引：4

作者：

Bougoffa, Lazhar ^{[1
]}

Rach, Randolph C.

Wazwaz, Abdul-Majid ^{[2
]}

机构：

[1] Al Imam Mohammad Ibn Saud Islamic Univ IMSIU, Fac Sci, Dept Math, Taipei 11623, Taiwan

[2] St Xavier Univ, Dept Math, Chicago, IL 60655 USA

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 225卷

关键词：

Nonlocal initial-boundary value problems; First-order hyperbolic partial differential equations; Lotka-von Foerster model; Adomian decomposition method; ADOMIAN DECOMPOSITION METHOD; PARTIAL-DIFFERENTIAL-EQUATIONS; CONVENIENT TECHNIQUE; INTEGRAL-EQUATIONS; HEAT-EQUATION; TRANSFORMATION; SERIES;

D O I：

10.1016/j.amc.2013.09.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present a new approach to solve nonlocal initial-boundary value problems for the Lotka-von Foerster model subject to initial and nonlocal boundary conditions of integral type. We first transform the given nonlocal initial-boundary value problem into an equivalent local initial-boundary value problem. Then we apply a modified Adomian decomposition method, which permits convenient resolution of these problems. Also a new method is developed to solve this nonlocal model, which reduces it to an equivalent local initial-boundary value problem for a system of ordinary differential equations. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：7 / 15

页数：9

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