Trotter products and reaction-diffusion equations

被引：1
|
作者：
Popescu, Emil [1 ]
机构：
[1] Tech Univ Civil Engn, Dept Math & Comp Sci, RO-020396 Bucharest, Romania
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2010年 / 233卷 / 06期
关键词：
Reaction-diffusion equation; Product formula; Pseudodifferential operator; Feller semigroup;
D O I：
10.1016/j.cam.2009.02.073
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study a class of generalized diffusion-reaction equations of the form partial derivative u/partial derivative t(x, t) = (Au (., t)) (x) + f (x, u (x, t)), where A is a pseudodifferential operator which generates a Feller semigroup. Using the Trotter product formula we give a corresponding discrete time integro-difference equation for numerical solutions. (C) 2009 Elsevier B.V. All rights reserved.
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页码：1596 / 1600
页数：5
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