The Adomian decomposition method for the approximate solution of homogeneous differential equations with dual variable and dual coefficients

DOI10.1080/0020716042000261450zbMath1072.65099OpenAlexW2146354498MaRDI QIDQ5462890

Hasan Bulut, Vedat Asil, David J. Evans

Publication date: 27 July 2005

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0020716042000261450

zbMATH Keywords

numerical examplesexponential mapdual numbersnonlinear hyperbolic equationLaplace transformationsdual functiondual vectors

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05)

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Cites Work

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• Solving frontier problems of physics: the decomposition method
• Solution of physical problems by decomposition
• A modification of Adomian's solution for nonlinear oscillatory systems
• Analytic approximate solution for a nonlinear oscillator equation
• Analytic solution of nonlinear boundary-value problems in serveral dimensions by decomposition
• A review of the decomposition method and some recent results for nonlinear equations

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