THE DECOMPOSITION METHOD FOR LINEAR, ONE-DIMENSIONAL, TIME-DEPENDENT PARTIAL DIFFERENTIAL EQUATIONS

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THE DECOMPOSITION METHOD FOR LINEAR, ONE-DIMENSIONAL, TIME-DEPENDENT PARTIAL DIFFERENTIAL EQUATIONS (2006)

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by D. Lesnic

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@MISC{Lesnic06thedecomposition,
    author = {D. Lesnic},
    title = {THE DECOMPOSITION METHOD FOR LINEAR, ONE-DIMENSIONAL, TIME-DEPENDENT PARTIAL DIFFERENTIAL EQUATIONS},
    year = {2006}
}

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Abstract

The analytical solutions for linear, one-dimensional, time-dependent partial differential equations subject to initial or lateral boundary conditions are reviewed and obtained in the form of convergent Adomian decomposition power series with easily computable components. The efficiency and power of the technique are shown for wide classes of equations of mathematical physics. Copyright © 2006 Hindawi Publishing Corporation. All rights reserved. 1.

Keyphrases

time-dependent partial differential equation decomposition method linear lateral boundary condition wide class convergent adomian decomposition power series computable component mathematical physic analytical solution hindawi publishing corporation

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