Lambert 2

Equations:

$$\begin{align}\dot{x}_{0}&=- \frac{x_{1} \cdot e^{x_{2}^{2}}}{x_{2}^{2}} - x_{2} + 1.0 / x_{0}\\\dot{x}_{1}&=- 2.0 \cdot x_{2} \cdot e^{- x_{2}^{2}} - e^{x_{2}^{2}} + 1.0 / x_{1}\\\dot{x}_{2}&=1.0\end{align}$$

Description:

Integration must start at t=1 (test intervals: [1,2] for C4/C5; [1,11] for C6).

Keywords:

stiff

Download file

IVP 117

Class: PIINLBNU

Initial conditions:

$$\begin{align}x_{0}(0)&=1.0\\x_{1}(0)&=0.3678794412\\x_{2}(0)&=1.0\end{align}$$

Exact Solution^*:

No exact solution provided.

[untested]

IVP 125

Class: PIINLBU

Initial conditions:

$$\begin{align}x_{0}(0)&\subset~\left[ 0.9, 1.1\right]\\x_{1}(0)&\subset~\left[ 0.2678794412, 0.4678794412\right]\\x_{2}(0)&=1.0\end{align}$$

Exact Solution^*:

No exact solution provided.

[untested]

^* rounded (non-rigorously) to 5 decimal places to preserve screen real estate.

<< back

Lambert 2

Equations:

Description:

Keywords:

Initial value problems:

IVP 117

Class: PIINLBNU

Initial conditions:

Exact Solution*:

IVP 125

Class: PIINLBU

Initial conditions:

Exact Solution*:

Exact Solution^*:

Exact Solution^*: