Bai Qingyuan, Lin Pengcheng. A Uniformly Difference Scheme of Singular Perturbation Problem for a Semilinear Ordinary Differential Equation with Mixed Boundary Value Condition[J]. Applied Mathematics and Mechanics, 1996, 17(2): 181-188.
Citation: Bai Qingyuan, Lin Pengcheng. A Uniformly Difference Scheme of Singular Perturbation Problem for a Semilinear Ordinary Differential Equation with Mixed Boundary Value Condition[J]. Applied Mathematics and Mechanics, 1996, 17(2): 181-188.

A Uniformly Difference Scheme of Singular Perturbation Problem for a Semilinear Ordinary Differential Equation with Mixed Boundary Value Condition

  • Received Date: 1993-07-04
  • Publish Date: 1996-02-15
  • In the poper, the method of separating singularity is applied to study the uniformly difference scheme of a singular perturbation problem for a semilinear ordinary differential equation with mixed boundary value condition. The uniform convergence on small parameter ε of order one for an Il'in type difference scheme constructed is proved. At the end of the paper, a numerical example is given. The computing results coincide with the theoretical analysis.
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