Geodesic
Numerical modeling of equilibrium capillary surfaces with irregular boundary conditions
Problemy fiziki, matematiki i tehniki, no. 3 (2012), pp. 88-93

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The algorithm for numerical modeling of equilibrium capillary surfaces with irregular contact conditions is presented. It is a combination of an iteration-difference method to solve the boundary-value problem and a Runge-Kutta method to solve the initial-value problem for modeling of equilibrium shapes of a capillary surface in contact with the fracture line of a solid wall. The algorithm is approved on the well-known problem of capillary hydrostatics about fluid flowing out of the capillary.
Keywords: capillary surface, parametric differential equations, irregular boundary conditions, numerical modeling, computational algorithm, numerical results. 
@article{PFMT_2012_3_a15,
     author = {V. K. Polevikov and Yu. N. Volotovskaya},
     title = {Numerical modeling of equilibrium capillary surfaces with irregular boundary conditions},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {88--93},
     publisher = {mathdoc},
     number = {3},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2012_3_a15/}
}
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V. K. Polevikov; Yu. N. Volotovskaya. Numerical modeling of equilibrium capillary surfaces with irregular boundary conditions. Problemy fiziki, matematiki i tehniki, no. 3 (2012), pp. 88-93. http://geodesic.mathdoc.fr/item/PFMT_2012_3_a15/