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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 \(k.\)

MSC:
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
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