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Zbl 1017.76070
Evans, D.J.; Bulut, H.
A new approach to the gas dynamics equation: An application of the decomposition method. (English)
[J] Int. J. Comput. Math. 79, No.7, 817-822 (2002). ISSN 0020-7160; ISSN 1029-0265/e

Summary: We use the Adomian decomposition method to implement the homogeneous gas dynamics equations. The analytic solution of the equations is calculated in the form of a series with easily computable components. The homogeneous problem is quickly solved by observing the self-canceling ``noise'' terms whose sum vanishes in the limit. The comparison of the methodology with some other known techniques shows that the present approach is effective and powerfull. Many test modeling problems from mathematical physics, both linear and nonlinear, are discussed to illustrate the effectiveness of the decomposition method.

MSC 2000:: *76M25 Other numerical methods
76N15 Gas dynamics, general

Keywords: series solution; self-canceling noise terms; Adomian decomposition method; homogeneous gas dynamics equations

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