多重尺度法的计算机计算——一类非线性方程组的狄立克雷问题

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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

摘要: 应用多重尺度的边界层方法和计算机符号运算研究一类非线性方程组的边值问题解的渐近性质,构造出解的渐近展开式和估计了余项.并分析一个实例.为多重尺度方法的应用提供新的前景.
- 非线性方程组 /
- 边值问题 /
- 多重尺度的边界层法 /
- 计算机符号运算 /
- 渐近解
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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