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An extended trapezoidal formula for the diffusion equation

โœ Scribed by M.M. Chawla; M.A. Al-Zanaidi

Book ID
104353593
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
371 KB
Volume
38
Category
Article
ISSN
0898-1221

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๐Ÿ“œ SIMILAR VOLUMES

An extended trapezoidal formula for the
An extended trapezoidal formula for the diffusion equation in two space dimensions
โœ M.M. Chawla; M.A. Al-Zanaidi ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 493 KB

We describe a locally one-dimensional (LOD) time integration scheme for the diffusion equation in two space dimensions: ut = u(uxx + uyy), based on the extended trapezoidal formula (ETF). The resulting LOD-ETF scheme is third order in time and is unconditionally stable. We describe the scheme for bo

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We present a new time-symmetric evolution formula for the scalar wave equation. It is simply related to the classical D'Alembert or spherical means representations, but applies equally well in two space dimensions. It can be used to develop stable, robust numerical schemes on irregular meshes.