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The Need for Array Pre-Allocation
The MATLAB code analyzer produces two warnings about our x and t arrays changing size on every iteration as demonstrated in the video below.
The following video briefly explains why array pre-allocation leads to faster code. See this blog-post for more information about pre-allocation.
Pre-Allocation Procedure
We pre-allocate the x and t arrays using the zeros function as shown below.
Change in Run-Time due to Pre-Allocation
We next use the "profiler" in MATLAB to check how much the run-time decreases due to pre-allocation.