Computational speed when the array dimension is large
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The 4th-order Runge-Kutta numerical method is applied to drive the time-domain responses of a second order differential equation, where the unknown motion is a function of time. I find that the speed of the operation drops dramatically when my simulation time becomes longer. How can I improve the speed of the program? I compared calculation speed between 200s and 7200s simulation time and the drop in running speed was noticeable. The length of all variables are pre-defined before the loop.The simulated time step is 0.01s, and the computer processor is "Intel Xeon W-2295, 18 Cores, 36 Threads, 3.0GHz, 4.8GHz Turbo" and the memory is 64GB (4*16GB) DDR4-2933 REG ECC.