The modelling of physical problems can lead to ordinary or partial differential equations which are quite generally nonlinear. Examples include equations such as the Navier-Stokes equations in fluid mechanics, the Lane-Emden equation for stellar structure, nonlinear Schrödinger equations in quantum theory, soliton equations, etc.
KeywordsDecomposition Method Recurrence Relation Partial Solution Maclaurin Series Decomposition Solution
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- 1.G. Adomian and R. Rach, Modified Decomposition Solution of Nonlinear Partial Differential Equations, Appl. Math. Lett., 5, (29–30) (1992).Google Scholar
- 2.G. Adomian, R. Rach, and R. Meyers, A Modified Decomposition, Comput. Math. Applic., 23, (17–23) (1992).Google Scholar
- 3.G. Adomian and R. Rach, Nonlinear Transformation of Series, Appl. Math. Lett., 4, (69–71) (1991).Google Scholar