论文标题
连续函数加权空间中PrandTL类型的截面方程的正交方法
Quadrature methods for integro-differential equations of Prandtl's type in weighted spaces of continuous functions
论文作者
论文摘要
该论文介绍了PrandTL类型的Integro-差异方程的近似解。提出了涉及``最佳''拉格朗日插值过程的正交方法，并证明了它们稳定且收敛的条件，并在合适的连续功能的合适加权空间中收敛。 该方法的效率已通过一些数值实验测试，其中一些包括与其他数值程序进行比较。特别是，作为应用程序，在椭圆形或矩形机翼形状的情况下，我们已经实施了求解沿平面机翼轮廓轮廓的循环气流的方法的方法。
The paper deals with the approximate solution of integro-differential equations of Prandtl's type. Quadrature methods involving ``optimal'' Lagrange interpolation processes are proposed and conditions under which they are stable and convergent in suitable weighted spaces of continuous functions are proved. The efficiency of the method has been tested by some numerical experiments, some of them including comparisons with other numerical procedures. In particular, as an application, we have implemented the method for solving Prandtl's equation governing the circulation air flow along the contour of a plane wing profile, in the case of elliptic or rectangular wing-shape.
