双3次样条配点法分析空间轴对称问题
ANALYSIS OF SPACE AXISYMMETRICAL PROBLEMS BY THE COLLOCATION METHOD WITH THE B SPLINE FUNCTION OF DOUBLE THIRD ORDER
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摘要: 本文用双3次B样条函数作为试函数,并用最小二乘配点法分析和计算空间轴对称问题。文末求解了若干具有一定实际意义的轴对称问题,其数值结果显示了这种方法有很好的计算精度、收敛性和稳定性。Abstract: This paper suggests the use of the least square collocation method to analyse the space axisymmetrical problems. In this method, the B splme function of the double third order is used as the trial runction. At the end of tis paper, the anthor have solved some space symmetrical problems in practice. Variable numerical results show that the method of this paper hast the good accuracy in calculation, Convergence and stability.