Computer Computation of the Method of Multiple Scales——Dirichlet Problem for a Class of System of Nonlinear Differential Equations

XIE La-bing; JIANG Fu-ru

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Article Navigation > Applied Mathematics and Mechanics > 2003 > 24(11): 1118-1125

XIE La-bing, JIANG Fu-ru. Computer Computation of the Method of Multiple Scales——Dirichlet Problem for a Class of System of Nonlinear Differential Equations[J]. Applied Mathematics and Mechanics, 2003, 24(11): 1118-1125.

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Computer Computation of the Method of Multiple Scales——Dirichlet Problem for a Class of System of Nonlinear Differential Equations

Shanghai University, Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, R. R. China

Received Date: 2001-12-10
Rev Recd Date: 2003-06-09
Publish Date: 2003-11-15

Abstract

Abstract

The method of boundary layer with multiple scales and computer algebra were applied to study the asymptotic behavior of solution of boundary value problems for a class of system of nonlinear differential equations. The asymptotic expansions of solution were constructed. The remainders were estimated. And an example was analysed. It provides a new foreground for the application of the method of boundary layer with multiple scales.
- system of nonlinear differential equation,
- boundary value problem,
- method of boundary layer with multiple scale,
- computer algebra,
- asymptotic solution

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References(6)

References

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