Analysis of difference diagrams stability approximating a class of one‐ and two‐dimensional non‐linear–parabolic field equations | Zendy

Wiak Slawomir | Zendy

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Analysis of difference diagrams stability approximating a class of one‐ and two‐dimensional non‐linear–parabolic field equations

Author(s) -

Wiak Slawomir

Publication year - 1989

Publication title -

international journal for numerical methods in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.421

H-Index - 168

eISSN - 1097-0207

pISSN - 0029-5981

DOI - 10.1002/nme.1620280903

Subject(s) - stability (learning theory) , mathematics , vector field , mathematical analysis , field (mathematics) , vector potential , electromagnetic field , class (philosophy) , magnetic field , pure mathematics , physics , geometry , computer science , quantum mechanics , machine learning , artificial intelligence

This paper describes the stability conditions for difference diagrams applied to the approximation of one‐ and two‐dimensional non‐linear field equations. The one‐dimensional electromagnetic field is described by vector B and vector E , and the two‐dimensional field by magnetic vector potential A . It has been proved that the presence of a lower order of derivatives has a decisive influence on the stability condition of the considered diagrams.

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