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Analysis of Adomian decomposition applied to a third-order ordinary differential equation from thin film flow. (English) Zbl 1127.34302
The authors use the Adomian decomposition method to determine a power series approximation of the solution of the equation
\[ y'''=y^{-k} \] with a constant \(k.\) It is shown that the domain of convergence depends on \(k.\) It is also plotted how the contact angle increases with increasing value of \(k.\)

34A45 Theoretical approximation of solutions to ordinary differential equations
34A34 Nonlinear ordinary differential equations and systems, general theory
34C60 Qualitative investigation and simulation of ordinary differential equation models
Full Text: DOI
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