A NUMERICAL SCHEME TO APPROXIMATE THE SOLUTION OF A SINGULARLY PERTURBED NONLINEAR DIFFERENTIAL-EQUATION

[摘要] In this paper an analytic difference scheme to integrate the singularly perturbed scalar problem (1.1) is given. The algorithm is based on the exact integration of a locally linearized problem (on a special nonuniform mesh) exhibiting uniform convergence in epsilon (for any x). The scheme is exact when f = a + bx + cy, where a, b, c are constants. Finally numerical results are given.

[发布日期] 1991-06-26

[效力级别]  Proceedings Paper

[关键词] NONLINEAR DIFFERENTIAL EQUATION;MESH;STEP-MESH;MESH-POINTS;INITIAL VALUES;DIFFERENCE SCHEMES;CONVERGENCE