Numerical analysis of the solution of one ordinary differential equation with a signchanging form
Abstract
The investigation is concerned with a partial differential equation. The coefficient at the second derivative in x is an asymptotically positive signchanging 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 finitedifference 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