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Accurate finite difference approximations for the Neumann condition on a curved boundary

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Publication:915406
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DOI10.1016/0307-904X(90)90157-ZzbMath0702.65084WikidataQ126323510 ScholiaQ126323510MaRDI QIDQ915406

B. J. Noye, Randy J. Arnold

Publication date: 1990

Published in: Applied Mathematical Modelling (Search for Journal in Brave)


zbMATH Keywords

finite difference approximationsNeumann boundary conditionexplicit methodtime dependencecurved boundaryNumerical tests


Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite difference methods for boundary value problems involving PDEs (65N06)


Related Items

Generalized finite‐differences solution of 3D elliptical problems involving Neumann boundary conditions



Cites Work

  • Comparison of the finite difference and Galerkin methods as applied to the solution of the hydrodynamic equations
  • On the solution of nonlinear hyperbolic differential equations by finite differences
  • Solution by relaxation methods of plane potential problems with mixed boundary conditions
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