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微分边界 [wēi fēn biān jiè]
differential-boundary
- 摘要用逼近的方法，证明了一类具有无界系数的抛物型偏微分方程自由边界问题古典解的存在性。
By using approximating methods the global existence of the classical solution is proved for a free boundary problem which can be modelled by parabolic equation with singular term. - 文摘:运用时空域的二阶中心差分法，由运动微分方程、自由边界条件及人工边界上的吸收边界条件，导出了二维非均匀粘滞弹性介质中波传播的二阶显示差分格式。
Abstract: The explicit 2nd-order finite difference equations are respectvely derived from the equations of viscoelastic wave and free boundary conditions and absorbing boundary conditions by the central finite difference operation. - 文摘:用插值摄动法［1］求得了变系数二阶常微分方程的边界层型问题的一级近似解.由于该方法能公式化(如式(10))，故其计算过程显得十分简便.其精度甚至比多尺度法的还稍高一些.
Abstract: In this paper,by using the interpolation perturbation method,the authors obtain the first order approximate solutions of the boundary layer type problems of the second order ordinary differential equations with variable coefficients.Since the method of this paper may be formularized(See Eq.(10)),the calculating process of this paper is quite simple and its accuracy is even higher than that of the multiple scales method.
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