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.
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页码：7 / 15
页数：9
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