https://github.com/chakravala/adapode

Adaptive Multistep Numerical ODE Solver
https://github.com/chakravala/adapode

adaptive differential-equations fortran90 fortran95 multistep numerical-methods

Last synced: 4 months ago
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Adaptive Multistep Numerical ODE Solver

• Host: GitHub
• URL: https://github.com/chakravala/adapode
• Owner: chakravala
• Created: 2017-09-18T01:37:59.000Z (over 8 years ago)
• Default Branch: master
• Last Pushed: 2017-09-18T02:11:35.000Z (over 8 years ago)
• Last Synced: 2025-09-10T00:56:04.985Z (9 months ago)
• Topics: adaptive, differential-equations, fortran90, fortran95, multistep, numerical-methods
• Language: Fortran
• Homepage: https://github.com/chakravala/Adapode.jl
• Size: 7.81 KB
• Stars: 4
• Watchers: 2
• Forks: 1
• Open Issues: 0
• Metadata Files:
  • Readme: README.md

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README

          
# adapode

Adaptive Multistep Ordinary Differential Equations Solver written for Fortran 95 compiler in 2013

Can be used to solve autonomous ODE system using different methods. Sample data:

![LorenzParametric2.png](http://crucialflow.com/wp-content/uploads/2014/10/LorenzParameteric2.png)

 ODE Solver ID Table

* Explicit Euler Method

* Heun's Method (Improved Euler)

* Midpoint 2nd Order RK Method

* Kutta's 3rd Order RK Method

* Classical 4th Order RK Method

* Adaptive Heun-Euler Method

* Adaptive Bogacki-Shampine RK23 Method

* Adaptive Fehlberg RK45 Method

* Adaptive Cash-Karp RK45 Method

* Adaptive Dormand-Prince RK45 Method

* Multistep Adams-Bashforth-Moulton 2nd Order

* Multistep Adams-Bashforth-Moulton 3rd Order

* Multistep Adams-Bashforth-Moulton 4th Order

* Multistep Adams-Bashforth-Moulton 5th Order

* Adaptive Multistep ABM 2nd Order

* Adaptive Multistep ABM 3rd Order

* Adaptive Multistep ABM 4th Order

* Adaptive Multistep ABM 5th Order