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Adaptive Multistep Numerical ODE Solver

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chakravala/adapode

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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

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