Abstract
The article compares Fast Fourier Transform (FFT) against the Fourier Transform in solving the boundary value problems (BVP) of partial differential equations, in particular, on wave equation. The approach of FFT used here is based on Bill Davis and Jerry Uhl’s work with FFT, known as Fast Fourier Fit (FFF) in differential equation. In our work MATHEMATICA and FORTRANcodeswere used for both Fourier Transformand Fast Fourier Fit to implement the solution procedure of BVP of partial differential equations. Comparison of the two approaches shows similar result but FFF does the job more efficiently than the Fourier Transform
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