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Sommeijer, B. P.; Van der Houwen, P. J.; Verwer, J. G.

On the treatment of time-dependent boundary conditions in splitting methods for parabolic differential equations. (English) Zbl 0429.65104

Math. Cent., Amst., Afd. Toegepaste Wiskd. TW 68/79, 25 p. (1979).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0429.65104

MSC:

65N40 Method of lines for boundary value problems involving PDEs
65N06 Finite difference methods for boundary value problems involving PDEs
65L05 Numerical methods for initial value problems involving ordinary differential equations
35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations

Keywords:

splitting methods; parabolic partial differential equations; boundary- value correction; initial-boundary value problems; comparison; ADI-method of Peaceman-Radford; LOD-method of Yanenko; Dirichlet boundary conditions; non-Dirichlet boundary conditions

Citations:

Zbl 0067.358; Zbl 0183.182; Zbl 0209.471; Zbl 0252.65072
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