On the asymptotic solution of the singularly perturbed boundary value problems posed by Bohé (Q1972061)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On the asymptotic solution of the singularly perturbed boundary value problems posed by Bohé |
scientific article; zbMATH DE number 1423636
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the asymptotic solution of the singularly perturbed boundary value problems posed by Bohé |
scientific article; zbMATH DE number 1423636 |
Statements
On the asymptotic solution of the singularly perturbed boundary value problems posed by Bohé (English)
0 references
29 July 2001
0 references
The author studies the asymptotic solution to the two-point Dirichlet boundary value problem for the scalar second-order singularly perturbed nonlinear ordinary differential equation \(\varepsilon\ddot x= g(x)f(\dot x)\) on the interval \(0\leq t\leq 1\). The interior shock layer where the solution jumps from nearly \(x(0)\) to nearly \(x(1)\) is considered.
0 references
asymptotic solution
0 references
singular perturbation
0 references
boundary value problem
0 references
interior shock layer
0 references
0 references
0 references
0 references
