A High Accuracy Numerical Inversion Method in Solving the Sobolev Differential Equations

Li Wang; Lin Zhang

doi:10.4028/www.scientific.net/AMM.444-445.637

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 444-445A High Accuracy Numerical Inversion Method in...

A High Accuracy Numerical Inversion Method in Solving the Sobolev Differential Equations

Abstract:

In the paper, by means of Laplace transform the Sobolev differential equations become to the elliptic differential equations, which can be solved by the fourth order finite difference equations in parallel. After getting the approximate solutions of the elliptic differential equations, we can achieve the numerical solutions with high accuracy for the Sobolev differential equations by using the Zakian inversion method. At last, we carry out one numerical experiment to indicate that the method in this paper is effective.

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Periodical:

Applied Mechanics and Materials (Volumes 444-445)

Pages:

637-640

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.444-445.637

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Online since:

October 2013

Authors:

Li Wang, Lin Zhang

Keywords:

Finite Difference Method (FDM), Sobolev Differential Equations, Zakian Inversion Method

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