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Compact analytic expressions of two-dimensional finite difference forms

โœ Scribed by M. Reali; R. Rangogni; V. Pennati

Publisher
John Wiley and Sons
Year
1984
Tongue
English
Weight
535 KB
Volume
20
Category
Article
ISSN
0029-5981

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โœฆ Synopsis

In this paper a straightforward derivation of one-and two-dimensional finite difference forms for general Cartesian networks is given. General analytic compact expressions up to third order for first derivatives are specifically derived. General Cartesian networks with locally telescoping subnetworks are also introduced and the basic problem of approximating derivative boundary conditions is clarified. The applicability of these general finite difference forms is shown by solving numerically the Laplace problem with mixed Dirichlet-Neumann boundary conditions for an elliptic domain.

๐Ÿ“œ SIMILAR VOLUMES

An accurate semi-analytic finite differe
An accurate semi-analytic finite difference scheme for two-dimensional elliptic problems with singularities
โœ Z. Yosibash; M. Arad; A. Yakhot; G. Ben-Dor ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 484 KB ๐Ÿ‘ 2 views

A high-order semi-analytic finite difference scheme is presented to overcome degradation of numerical performance when applied to two-dimensional elliptic problems containing singular points. The scheme, called Least-Square Singular Finite Difference Scheme (L-S SFDS), applies an explicit functional