Numerical analysis of the solution of one ordinary differential equation with a sign-changing form
Abstract
The investigation is concerned with a partial differential equation. The coefficient at the second derivative in x is an asymptotically positive sign-changing function. The investigation has the objective to conduct a numerical analysis regarding the stationary stability of the solution of the considered partial differential equation. An analysis is performed of the structure of a set of stationary solutions, and the algorithms by which the equation was solved are presented. The structure of a set of stationary solutions is considered, taking into account three types of solutions of the problem. Attention is given to finite-difference approximations, and some peculiarities concerning numerical calculations of the problem.
- Publication:
-
Computational and Asymptotic Methods for Boundary and Interior Layers
- Pub Date:
- 1982
- Bibcode:
- 1982camb.proc...90N
- Keywords:
-
- Computational Fluid Dynamics;
- Flow Equations;
- Numerical Stability;
- Partial Differential Equations;
- Algorithms;
- Boundary Value Problems;
- Finite Difference Theory;
- Fluid Mechanics and Heat Transfer