Research on the Forward Euler Difference Method for Parabolic Equations

You Guo Li; Yuan Fei Dong

doi:10.4028/www.scientific.net/AMR.998-999.992

Paper Titles

A Subdividing of Local Fractional Integral Holder’s Inequality on Fractal Space
p.976

An Improvement of Local Fractional Integral Minkowski’s Inequality on Fractal Space
p.980

An Improvement of Minkowski’s Inequality for Sums
p.984

On Subdividing of Hölder’s Inequality for Sums
p.988

Research on the Forward Euler Difference Method for Parabolic Equations
p.992

The Local Fractional Hilbert Transform Based on Fractal Theory
p.996

The Solution of 2D Parabolic Equations Based on the Alternating Direction Implicit Scheme
p.1000

Two Conclusions of Points Produced by Incremental Sub-Gradient Method for the Non-Differentiable Optimal Problem in Hilbert Space
p.1004

An Application of Computer Image Processing Technique to Decoration Pattern Design
p.1009

HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 998-999Research on the Forward Euler Difference Method...

Research on the Forward Euler Difference Method for Parabolic Equations

Abstract:

This article is devoted to the forward Euler difference method for the parabolic equation. In this paper, a forward Euler difference scheme is derived. It is shown that the forward Euler difference scheme is convergence and stability. Moreover, a numerical experiment is conducted to illustrate the theoretical results of the presented method.