Lagrange interpolation and modified cubic B-spline differential quadrature methods for solving hyperbolic partial differential equations with Dirichlet and Neumann boundary conditions

2015 ◽  
Vol 193 ◽  
pp. 55-65 ◽  
Author(s):  
Ram Jiwari
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Boundary Conditions ◽  
Lagrange Interpolation ◽  
Neumann Boundary ◽  
Differential Quadrature ◽  
Neumann Boundary Conditions ◽  
Hyperbolic Partial Differential Equations ◽  
B Spline ◽  
Quadrature Methods

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.

Stability Criterion For Linear Oscillatory Parabolic Systems

1992 ◽  
Vol 114 (1) ◽  
pp. 175-178 ◽  
Author(s):  
Keum S. Hong ◽  
Joseph Bentsman
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Boundary Conditions ◽  
Numerical Simulations ◽  
Stability Criterion ◽  
Neumann Boundary ◽  
Parabolic Systems ◽  
Neumann Boundary Conditions ◽  
Distributed Parameter ◽  
Parabolic Partial Differential Equations

This paper presents a stability criterion for a class of distributed parameter systems governed by linear oscillatory parabolic partial differential equations with Neumann boundary conditions. The results of numerical simulations that support the criterion are presented as well.

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