Smoothing properties in multistep backward difference method and time derivative approximation for linear parabolic equations.

Yan, Yubin

Displaying similar documents to “Smoothing properties in multistep backward difference method and time derivative approximation for linear parabolic equations.”

An investigation of convergence and error estimate of approximate solution for a quasilinear parabolic integrodifferential equation

Marián Slodička (1990)

Aplikace matematiky

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One parabolic integrodifferential problem in the abstract real Hilbert spaces is studied in this paper. The semidiscrete and full discrete approximate solution is defined and the error estimate of Rothe's function in some function spaces is established.

Fully-discrete finite element approximations for a fourth-order linear stochastic parabolic equation with additive space-time white noise

Georgios T. Kossioris, Georgios E. Zouraris (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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We consider an initial and Dirichlet boundary value problem for a fourth-order linear stochastic parabolic equation, in one space dimension, forced by an additive space-time white noise. Discretizing the space-time white noise a modelling error is introduced and a regularized fourth-order linear stochastic parabolic problem is obtained. Fully-discrete approximations to the solution of the regularized problem are constructed by using, for discretization in space, a Galerkin finite element...

On a parabolic integrodifferential equation of Barbashin type

B. G. Pachpatte (2011)

Commentationes Mathematicae Universitatis Carolinae

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In the present paper we study some basic qualitative properties of solutions of a nonlinear parabolic integrodifferential equation of Barbashin type which occurs frequently in applications. The fundamental integral inequality with explicit estimate is used to establish the results.

Existence and uniqueness of a solution to a partial integro-differential equation by the method of lines.

Bahuguna, D., Dabas, J. (2008)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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An immediate analysis for global superconvergence for integrodifferential equations

Qun Lin, Shu Hua Zhang (1997)

Applications of Mathematics

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In this paper we study the finite element approximations to the parabolic and hyperbolic integrodifferential equations and present an immediate analysis for global superconvergence for these problems, without using the Ritz projection or its modified forms.