Numerical approximation for singular second order differential equations |
| |
| Authors: | D Benko DC Biles MP Robinson JS Spraker |
| |
| Institution: | 1. Department of Mathematics and Statistics, ILB 325, University of South Alabama, Mobile, AL 36688, United States;2. Department of Math & CS, Belmont University, 1900 Belmont Blvd., Nashville, TN 37212, United States;3. Department of Math & CS, Western Kentucky University, 1906 College Heights Blvd. #11078, Bowling Green, KY 42101, United States |
| |
| Abstract: | We consider numerical approximation of solutions of singular second order differential equations. In particular, we study the backward (or implicit) Euler method. We prove results concerning consistency, global error and stability. We show that the global error is linear with respect to the step size. Numerical results are also given, which demonstrate the linear convergence and we compare the numerical results with known approximations. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
