A finite difference procedure for a class of free boundary problems

DOI10.1016/S0021-9991(05)80006-3zbMath0759.65085OpenAlexW2064207046MaRDI QIDQ1195114

Bengt Fornberg, Rita Meyer-Spasche

Publication date: 12 October 1992

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-9991(05)80006-3

zbMATH Keywords

finite difference schemecorrection methodconvergence ratefree boundary problemsmagnetohydrodynamic equilibriaGrad-Schlüter-Shafranov equationcorrection strategylinear second-order elliptic operator

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with fluid mechanics (35Q35) Error bounds for boundary value problems involving PDEs (65N15) Magnetohydrodynamics and electrohydrodynamics (76W05) Free boundary problems for PDEs (35R35) Finite difference methods for boundary value problems involving PDEs (65N06) Applications to the sciences (65Z05)

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A finite difference method for free boundary problems ⋮ Using radial basis function-generated finite differences (RBF-FD) to solve heat transfer equilibrium problems in domains with interfaces ⋮ Finite difference scheme versus piecewise binomial lattice for interest rates under the skew CEV model ⋮ A high-order deferred correction method for the solution of free boundary problems using penalty iteration, with an application to American option pricing

Cites Work

• Discretization errors at free boundaries of the Grad-Schlüter-Shafranov equation

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