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On iterative solution of linear equations arising in BVPs of ODEs - MaRDI portal

On iterative solution of linear equations arising in BVPs of ODEs (Q1899386)

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scientific article; zbMATH DE number 803720
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On iterative solution of linear equations arising in BVPs of ODEs
scientific article; zbMATH DE number 803720

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    On iterative solution of linear equations arising in BVPs of ODEs (English)
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    9 October 1995
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    This paper considers a five point discretization of a particular first- order boundary value problem (BVP) of an ordinary differential equation (ODE), which leads to the necessity of solving an antisymmetric linear system with a banded five diagonal structure. It is shown that this system can be solved by a Cimmino type algorithm and a numerical example is included to illustrate its behaviour.
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    antisymmetric quindiagonal systems
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    Cimmino projection method
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    five point discretization
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    Cimmino type algorithm
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    numerical example
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