JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2016, Vol. 51 ›› Issue (4): 104-111.doi: 10.6040/j.issn.1671-9352.0.2015.152

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Numerical solution of Schwarz Christoffel transform

CUI Jian-bin1, JI An-zhao2, LU Hong-jiang3, WANG Yu-feng2, HE Jiang-yi2, XU Tai2   

  1. 1. Mathematics and Statistics Institute, Longdong University, Qingyang 745000, Gansu, China;
    2. Energy Engineering Institute, Longdong University, Qingyang 745000, Gansu, China;
    3. Energy Engineering Institute, Chengdu University of Technology, Chengdu 610059, Sichuan, China
  • Received:2015-04-14 Online:2016-04-20 Published:2016-04-08

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Abstract: Schwarz Christoffel transformation technique has an important role to deal with engineering problem. Schwarz Christoffel transformation and its reference to numerical solution are studied.The nonlinear system of Schwarz Christoffel transform parameters is solved using Levenberg-Marquardt algorithm about. To increase the numerical accuracy, for the Singular Integral problem occurred during the course of Schwarz Christoffel transformation, search the interval singularity and sub-divide interval, which is to correct weight function and Zeros of Orthogonal Polynomials by Gauss-Jacobi quadrature in subdivide interval. Finally an example is given and the method feasible is verified.

Key words: Gauss-Jacobi quadrature, nonlinear equations, Schwarz Christoffel transform, singular integral, Levenberg-Marquardt algorithm

CLC Number: 

  • O241
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