scholarly journals Numerical solution of partial differential equations with stochastic Neumann boundary conditions

2017 ◽  
Vol 22 (11) ◽  
pp. 1-18
Author(s):  
Minoo Kamrani ◽  
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Boundary Conditions ◽  
Numerical Solution ◽  
Neumann Boundary ◽  
Neumann Boundary Conditions ◽  
Partial Differential

STOCHASTIC CAHN–HILLIARD PARTIAL DIFFERENTIAL EQUATIONS WITH LÉVY SPACETIME WHITE NOISES

2006 ◽  
Vol 06 (02) ◽  
pp. 229-244 ◽  
Author(s):  
LIJUN BO ◽  
YONGJIN WANG
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Boundary Conditions ◽  
Neumann Boundary ◽  
Local Solution ◽  
Neumann Boundary Conditions ◽  
Partial Differential ◽  
White Noises

In this paper, we consider a class of stochastic Cahn–Hilliard partial differential equations driven by Lévy spacetime white noises with Neumann boundary conditions. By a dedicate construction we prove that a (unique) local solution exists for the SPDE under some mild assumptions on the coefficients.

scholarly journals ExplicitL2inequalities for parabolic and pseudoparabolic equations with Neumann boundary conditions

1978 ◽  
Vol 1 (1) ◽  
pp. 21-29
Author(s):  
J. R. Kuttler ◽  
V. G. Sigillito
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Boundary Conditions ◽  
A Priori ◽  
Neumann Boundary ◽  
Neumann Boundary Conditions ◽  
Diffusion Equations ◽  
Third Order ◽  
Partial Differential ◽  
Pseudoparabolic Equations

ExplicitL2inequalities are derived for second and third order diffusion equations with Neumann boundary conditions. Such inequalities are useful in approximating solutions to partial differential equations by the method of a priori inequalities.

scholarly journals Derivation of boundary conditions for the artificial boundaries associated with the solution of certain time dependent problems by Lax–Wendroff type difference schemes

1982 ◽  
Vol 25 (1) ◽  
pp. 1-18 ◽  
Author(s):  
John C. Wilson
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Boundary Conditions ◽  
Numerical Solution ◽  
Time Dependent ◽  
Finite Region ◽  
Partial Differential ◽  
Artificial Boundaries ◽  
Fixed Boundaries ◽  
Time Dependent Problems

Many problems involving the solution of partial differential equations require the solution over a finite region with fixed boundaries on which conditions are prescribed. It is a well known fact that the numerical solution of many such problems requires additional conditions on these boundaries and these conditions must be chosen to ensure stability. This problem has been considered by, amongst others, Kreiss [11, 12, 13], Osher [16, 17], Gustafsson et al. [9] Gottlieb and Tarkel [7] and Burns [1]

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