differential-equations 0.5.1

A Rust library for solving differential equations.
Documentation 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56

<p align="center">
  <img src="./assets/logo.svg" width="1000" alt="differential-equations">
</p>

<p align="center">
    <a href="https://crates.io/crates/differential-equations">
        <img src="https://img.shields.io/crates/v/differential-equations.svg?style=flat-square" alt="crates.io">
    </a>
    <a href="https://docs.rs/differential-equations">
        <img src="https://docs.rs/differential-equations/badge.svg" alt="docs.rs">
    </a>
    <a href="https://github.com/Ryan-D-Gast/differential-equations/blob/main/LICENSE">
        <img src="https://img.shields.io/badge/License-Apache%202.0-blue.svg">
    </a>
</p>

<p align="center">
    <strong>
        <a href="./docs/introduction.md">Documentation</a> |
        <a href="./examples/ode/01_exponential_growth/main.rs">Examples</a> |
        <a href="https://github.com/Ryan-D-Gast/differential-equations"

        >GitHub</a> |
        <a href="https://docs.rs/differential-equations/latest/differential_equations/">Docs.rs</a> |
        <a href="https://crates.io/crates/differential-equations">Crates.io</a>
    </strong>
</p>

-----

<p align="center">
<b>A high-performance library for numerically solving differential equations</b><br>
<i>for the Rust programming language.</i>
</p>

-----

A high-performance library for solving differential equations in Rust, including:

- **[Ordinary Differential Equations (ODEs)](./docs/ode.md)** - Fixed-step and adaptive solvers with comprehensive features including event detection, dense output, and customizable and common recipes for solution output.
    - **Initial Value Problems** - Solve problems with known initial conditions

- **[Differential Algebraic Equations (DAEs)](./docs/dae.md)** - Implicit differential algebraic equations in the form $M f \prime = f(t,y)$ where $M$ can be singular
    - **Index-1,2,3 DAEs** - Index-1 implicitly supported, higher index equations require declaration in solver.

- **[Delay Differential Equations (DDEs)](./docs/dde.md)** - Adaptations of ODE solvers to handle delay differential equations by tracking history for interpolation.
    - **Fixed-Delay Problems** - Solve problems with fixed delays
    - **Variable-Delay Problems** - Solve problems with state driven delays

- **[Stochastic Differential Equations (SDEs)](./docs/sde.md)** - Fixed step explicit Runge-Kutta methods for stochastic differential equations.
    - **Customizable Noise** - User implements noise in SDE implementation

## Contributing


This library is looking for contributions to bring the future of scientific computing to Rust!

Please see [CONTRIBUTING.md](./CONTRIBUTING.md) for more information on how to contribute to this project.