https://github.com/lkwinta/finite-element-method

Finite element method numeric solver for Differential Equation course at AGH UST
https://github.com/lkwinta/finite-element-method

differential-equations finite-element-methods heat-transfer rust

Last synced: 24 days ago
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Finite element method numeric solver for Differential Equation course at AGH UST

• Host: GitHub
• URL: https://github.com/lkwinta/finite-element-method
• Owner: lkwinta
• Created: 2023-12-28T15:28:00.000Z (about 1 year ago)
• Default Branch: master
• Last Pushed: 2024-01-26T09:09:08.000Z (12 months ago)
• Last Synced: 2024-01-26T11:27:57.433Z (12 months ago)
• Topics: differential-equations, finite-element-methods, heat-transfer, rust
• Language: Rust
• Homepage:
• Size: 478 KB
• Stars: 0
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md

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README

        
# Finite elements method solver

Small rust util that solves heat transfer differential equation using finite element method. Equation is as following: 


$-(k(x)u'(x))' = 100x$ 


$u(2) = 0$ 


$u(0) + u'(0) = 20$ 


```math

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 

```

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