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New applications of Adomian decomposition method. (English) Zbl 1133.35308

Summary: We discuss a new application of Adomian decomposition method on nonlinear physical equations. The models of interest in physics are considered and solved by means of Adomian decomposition method. The behaviour of Adomian solutions and the effects of different values of \(t\) are investigated. Numerical illustrations that include nonlinear physical models are investigated to show the pertinent features of the technique.

MSC:

35A25 Other special methods applied to PDEs
35A35 Theoretical approximation in context of PDEs
65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
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