MATLAB DSOLVE: Solving 2nd Order ODEs with Initial Conditions

[ganeshrk]

Homework Statement

I am using MATLAB Symbolic Tool Box "Dsolve"
to solve 2nd order, linear, ordinary, non-homogenous differential equation with initial conditions.

Homework Equations

Equation of motion with base excitation (vibration: single degree of freedom system)

The Attempt at a Solution

Calculating response spectrum for frequency range 1 to 1000 with 1000 time-steps for piecewise linearized base acceleration input (forcing function).
That is 1 million times solving the ODE using DSOLVE.
It takes 0.6 secs for 1 time on a 64bit machine. For 1 million times it will take 166 hours, almost a week!
Is there anyway we can speed up the process?

What do you suggest?

 

[KataKoniK]

I would suggest looking into alternative methods for solving the differential equation, such as numerical methods. These methods are designed specifically for handling large numbers of calculations and can often be more efficient than symbolic methods like DSOLVE. Additionally, you could also consider optimizing your code and using parallel computing techniques to speed up the process. Another option could be to use a more powerful computer or to distribute the calculations across multiple machines. Ultimately, it may also be helpful to consult with experts in the field or colleagues who have experience with similar problems to see if they have any suggestions or insights.