A study on Marangoni convection by the variational iteration method
Onur Karao\u{g}lu, Galip Oturan\c{c}
TL;DR
This paper applies the variational iteration method combined with Padé approximant to approximate solutions for Marangoni convection flows, comparing results with traditional numerical methods to validate accuracy.
Contribution
It introduces a novel analytical approach using variational iteration and Padé approximant for Marangoni convection, providing an alternative to numerical solutions.
Findings
The method produces accurate approximate solutions.
Results closely match numerical solutions.
The approach offers a computationally efficient alternative.
Abstract
In this letter, we will consider the use of the variational iteration method and Pad\'e approximant for finding approximate solutions for a Marangoni convection induced flow over a free surface due to an imposed temperature gradient. The solutions are compared with the numerical (fourth-order Runge Kutta) solutions.
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