README.md

Finite elements method solver

Small rust util that solves heat transfer differential equation using finite element method. Equation is as following:
$-(k(x)u'(x))' = 100x$
$u(2) = 0$
$u(0) + u'(0) = 20$

$$k(x) = \begin{cases} 1 & \text{dla} x\in [0,1]\\\ 2x & \text{dla} x\in (1,2] \end{cases}$$

Usage

To build program use:

cargo build --release

To solve equation use:

cargo run --release <N>

where N is the number of base functions. If not given, the default value is 10.