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A numerical method for solving linear non-autonomous systems based on linear programming

delete2006-07-01
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PRE
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H
Hamed Hashemi Mehne *
DOI:10.1016/j.amc.2005.11.046delete
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Abstract

Abstract

En 中文
In this article we propose an approximate solution method for solving linear non-autonomous systems with an initial condition. In this method, the initial value problem is transformed into a linear programming problem to obtain an approximate solution. The existence and uniqueness criterion for solution is also proved in a linear programming manner. Finally we propose a method to find the fundamental matrix of these systems. Numerical examples are considered. (c) 2005 Elsevier Inc. All rights reserved.
Keywords:
discretization
initial value problems
linear programming
non-autonomous linear systems

Journal

Applied Mathematics and Computation cover
Applied Mathematics and Computation
IF:
3.4
Papers:
2.3W
Citations:
3.3W

Organization

No organization information available