backward_euler_fixed, a MATLAB code which solves one or more ordinary differential equations (ODE) using the (implicit) backward Euler method, using fixed point iteration to solve the implicit equation.
The computer code and data files described and made available on this web page are distributed under the MIT license
backward_euler_fixed is available in a MATLAB version and an Octave version and a Python version.
backward_euler, a MATLAB code which solves one or more ordinary differential equations (ODE) using the (implicit) backward Euler method, using fsolve() to solve the implicit equation.
cauchy_method, a MATLAB code which solves one or more ordinary differential equations (ODE) using the Cauchy method.
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midpoint_explicit, a MATLAB code which solves one or more ordinary differential equations (ODE) using the (explicit) midpoint method, also called the modified Euler method.
midpoint_fixed, a MATLAB code which solves one or more ordinary differential equations (ODE) using the (implicit) midpoint method, using a simple fixed-point iteration to solve the implicit equation.
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rk23, a MATLAB code which implements Runge-Kutta ODE solvers of orders 2 and 3.
rk34, a MATLAB code which implements Runge-Kutta ODE solvers of orders 3 and 4.
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trapezoidal_explicit, a MATLAB code which solves one or more ordinary differential equations (ODE) using the (explicit) trapezoidal method.
trapezoidal_fixed, a MATLAB code which solves one or more ordinary differential equations (ODE) using the (implicit) trapezoidal method, using the fixed point method to handle the implicit system.
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