# bvpT6

bvpT6 | |
---|---|

Contributor: | testset of J.R. Cash |

Discipline: | academic test |

Accession: | 2013 |

**Short description:**

A second order differential equations that is reduced to a first order system of 2 equations.

**Applicable solvers:**

all the solvers supported by the Test Set.

**Plots of the solution**** <- **click to generate the plots of the solution and the textual output

**Mathematical description:**

The problem is

with

We write this problem in first order form by defining and , yielding a system of differential equations of the form

where

with

The boundary conditions are obtained from

Exact solution

The solution has a shock layer in the turning point region near

**Download:**

- Fortran code: bvpT6.f
- matlab code: bvpT6.m
- R code: first order: bvpT6.R, high order: bvpT6_ho.R