Wu Jike, W H Hui, Ding Hongli. Arc-Length Method for Differential Equations[J]. Applied Mathematics and Mechanics, 1999, 20(8): 875-880.
Citation: Wu Jike, W H Hui, Ding Hongli. Arc-Length Method for Differential Equations[J]. Applied Mathematics and Mechanics, 1999, 20(8): 875-880.

Arc-Length Method for Differential Equations

  • Received Date: 1998-04-20
  • Rev Recd Date: 1999-02-14
  • Publish Date: 1999-08-15
  • A kind arc-length method is presented to solve the ordinary differential equations(ODEs) with certain types of singularit y as stiff property or discontinuity on continuum problem. By introducing one or two arc-length parameters as variables, the differential equations with singularity are transformed into non-singularity equations, which can be solved by usual methods. The method is also applicable for partial differential equations(PDEs), because they may be changed into systems of ODEs by discretization. Two examples are given to show the accuracy, efficiency and application.
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