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Matlab ode45 Page

Matlab has a function ode45 for solving initial value problems for ordinary differential equations.  This function implements a Runge-Kutta method with a variable time step for efficient computation.

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Topic	Script
Free vibration of a single-degree-of-freedom system.	free_ode45.m free_function.m
Free vibration of a coupled, multi-degree-of-freedom system.	mdof_ode45.m MDOF_simulation.m Generalized_Eigen.m matlab_ODE45_MDOF.pdf ODE45_matlab_tutorial.pdf
Free Vibration of a Single-degree-of-freedom System with Nonlinear Stiffness.	nonlin.pdf sdof_stiff2_ode45.m sdof_stiff2_free_function.m
Free vibration of a pendulum. This program solves the nonlinear equation of motion such that large angular displacements are allowed.	pendulum_free_ode45.m pendulum_free_function.m
Vibration of a single-degree-of-freedom system subjected to sinusoidal base excitation.	sinebase_ode45.m sinebase_function.m bode_transfer_function.m
Vibration of a single-degree-of-freedom system subjected to arbitrary base excitation.  The script takes an FFT of the input excitation.  The FFT parameters are then passed to the supporting function which reconstructs the time history.	arb_base_ode45.m arb_base_function.m
Vibration of a single-degree-of-freedom system subjected to sinusoidal force excitation.	sineforce_ode45.m sineforce_function.m bode_transfer_function.m
See also: Matlab Matlab_Newmark_Page Matlab RK4 Page