A numerical method for solving linear non-autonomous systems based on linear programming (Q2507820)
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| Language | Label | Description | Also known as |
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| English | A numerical method for solving linear non-autonomous systems based on linear programming |
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A numerical method for solving linear non-autonomous systems based on linear programming (English)
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5 October 2006
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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.
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discretization
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initial value problems
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linear programming
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non-autonomous linear systems
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numerical examples
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