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Solution of a scaled system by shifted Legendre series representation - MaRDI portal

Solution of a scaled system by shifted Legendre series representation (Q1087318)

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scientific article; zbMATH DE number 3988640
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Solution of a scaled system by shifted Legendre series representation
scientific article; zbMATH DE number 3988640

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    Solution of a scaled system by shifted Legendre series representation (English)
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    1986
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    A method of using shifted Legendre series expansions is given for solving of the system of differential equations \(\dot x(t)=A\) x(t) \(+B\) x(\(\lambda\) t), \(x(0)=x_ 0\), where A, B are \(n\times n\) constant matrices. It is shown that the method is convenient for computer programming and is comparable in accuracy with other methods.
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    scale matrix
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    numerical examples
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    deviating argument
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    shifted Legendre series expansions
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    system
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