Analysis of Adomian decomposition applied to a third-order ordinary differential equation from thin film flow

DOI10.1016/j.na.2006.03.021zbMath1127.34302OpenAlexW2021790216WikidataQ115343272 ScholiaQ115343272MaRDI QIDQ876941

T. A. Selway, K. Jina, Ebrahim Momoniat

Publication date: 19 April 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.03.021

zbMATH Keywords

thin filmAdomian decompositionordinary differential equation of the third order

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlinear ordinary differential equations and systems (34A34) Qualitative investigation and simulation of ordinary differential equation models (34C60)

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Cites Work

• Unnamed Item
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• The third-order differential equation arising in thin-film flows and relevant to Tanner's law
• Solution of the system of ordinary differential equations by Adomian decomposition method.
• The decomposition method for ordinary differential equations with discontinuities
• The decomposition method for stiff systems of ordinary differential equations
• Moving boundary problems and non-uniqueness for the thin film equation
• High-Order Nonlinear Diffusion
• A Numerical and Asymptotic Study of Some Third-Order Ordinary Differential Equations Relevant to Draining and Coating Flows
• Solutions of Third-Order Differential Equations Relevant to Draining and Coating Flows
• On the motion of a small viscous droplet that wets a surface
• Thin Films with High Surface Tension
• New results of convergence of Adomian’s method
• THE SPREADING OF A THIN DROP BY GRAVITY AND CAPILLARITY
• Two Problems from Draining Flows Involving Third-Order Ordinary Differential Equations

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