A generalized moment representation of two free boundary problems
DOI10.1016/0377-0427(87)90204-4zbMath0628.65121OpenAlexW1993919880MaRDI QIDQ1093345
Publication date: 1987
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0377-0427(87)90204-4
numerical resultsquadrature formulaNewton methodLaplace's equationfree boundary value problemselectrochemical machiningmoment representationinfinite set of integral equationsmoving-boundary value problemsteady water waves on the surface of an irrotational flow
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Chemically reacting flows (80A32) Technical applications of optics and electromagnetic theory (78A55) Free boundary problems for PDEs (35R35) Applications to the sciences (65Z05)
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Cites Work
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- Solution of Time Dependent Electrochemical Machining Problems by a Co-ordinate Transformation
- Some Hele Shaw flows with time-dependent free boundaries
- A Fourier approximation method for steady water waves
- Steep gravity waves in water of arbitrary uniform depth
- Numerical computation of steep gravity waves in shallow water
- Computer extension and analytic continuation of Stokes’ expansion for gravity waves
- Hele Shaw flows with a free boundary produced by the injection of fluid into a narrow channel
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