Analysis of higher order difference method for a pseudo-parabolic equation with delay
TLDR
In this article, the authors considered the one dimensional initial-boundary problem for a pseudo-parabolic equation with time delay in second spatial derivative and obtained the error estimate for its solution.Abstract:
In this paper, the author considers the one dimensional initial-boundary problem for a pseudo-parabolic equation with time delay in second spatial derivative. To solve this problem numerically, the author constructs higher order difference method and obtain the error estimate for its solution. Based on the method of energy estimates the fully discrete scheme is shown to be convergent of order four in space and of order two in time. Some numerical examples illustrate the convergence and effectiveness of the numerical method. 2010 Mathematics Subject Classification: 65M12; 65M15; 65M22; 34K28read more
Citations
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Linearized compact difference methods combined with Richardson extrapolation for nonlinear delay Sobolev equations
Chengjian Zhang,Zengqiang Tan +1 more
TL;DR: The Richardson extrapolation technique is introduced, which leads to the improved linearized compact difference methods can reach the fourth-order accuracy in both time and space.
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One-parameter orthogonal spline collocation methods for nonlinear two-dimensional Sobolev equations with time-variable delay
Cheng Zhang,Changyang Tang +1 more
TL;DR: In this article , two classes of one-parameter orthogonal spline collocation (OSC) methods are constructed for solving initial boundary value problems with time-variable delay.
Journal ArticleDOI
Three layer difference method for linear pseudo-parabolic equation with delay
TL;DR: In this article , a finite-difference approximation of the one dimensional initial-boundary value problem for a pseudo-parabolic equation containing time delay in second derivative is studied.
Journal ArticleDOI
Three layer difference method for linear pseudo-parabolic equation with delay
TL;DR: In this paper, a finite-difference approximation of the one-dimensional initial-boundary value problem for a pseudo-parabolic equation containing time delay in second derivative was studied and the error estimates for its solution were obtained.
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