Analysis of Adomian decomposition applied to a third-order ordinary differential equation from thin film flow (Q876941)
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scientific article; zbMATH DE number 5144895
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| English | Analysis of Adomian decomposition applied to a third-order ordinary differential equation from thin film flow |
scientific article; zbMATH DE number 5144895 |
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Analysis of Adomian decomposition applied to a third-order ordinary differential equation from thin film flow (English)
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19 April 2007
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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 \(k.\)
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ordinary differential equation of the third order
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Adomian decomposition
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thin film
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