High-order-accurate discretization of a second-order equation with discontinuous coefficients

DOI10.1016/S0307-904X(98)00009-2zbMath0909.65047OpenAlexW2043598352MaRDI QIDQ1267169

Alexander Yakhot, M. Arad, Gabi Ben-Dor

Publication date: 22 March 1999

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

Full work available at URL: https://doi.org/10.1016/s0307-904x(98)00009-2

zbMATH Keywords

discontinuous coefficientsnumerical experimentserror boundsfinite differencessecond order differential equations

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Linear boundary value problems for ordinary differential equations (34B05) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (3)

Numerical Solution of Partial Differential Equations in Arbitrary Shaped Domains Using Cartesian Cut-Stencil Finite Difference Method. Part II: Higher-Order Schemes ⋮ A simple numerical approach for assessing coupled transport processes in partitioning systems ⋮ A sixth-order finite volume method for diffusion problem with curved boundaries

Cites Work

• Improved finite difference method for equilibrium problems based on differentiation of the partial differential equations and the boundary conditions
• HIGH-ORDER-ACCURATE DISCRETIZATION STENCIL FOR AN ELLIPTIC EQUATION
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