Wave-Form Relaxation Techniques For Linear And Nonlinear Diffusion-Equations

    Authors

    S. R. Choudhury

    Comments

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    Abbreviated Journal Title

    J. Comput. Appl. Math.

    Keywords

    NONLINEAR DIFFUSION; MULTIRATE BEHAVIOR; SPATIAL BLOCKING; WAVE-FORM; RELAXATION; SIMULATION; Mathematics, Applied

    Abstract

    A recent class of multirate numerical algorithms, collectively referred to as waveform relaxation methods, is applied to the one-dimensional diffusion equation. The methods decouple different parts or blocks of the system in the time domain, effectively allowing each block to take the largest time-step consistent with its accuracy requirements. Significant speedup is obtained over the results using a composite Crank-Nicholson/second-order backward Euler time-stepping scheme. Possible implementation strategies for the waveform relaxation schemes to the diffusion equation in two dimensions are considered briefly.

    Journal Title

    Journal of Computational and Applied Mathematics

    Volume

    42

    Issue/Number

    2

    Publication Date

    1-1-1992

    Document Type

    Article

    Language

    English

    First Page

    253

    Last Page

    267

    WOS Identifier

    WOS:A1992JV58500009

    ISSN

    0377-0427

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