Is there an alternative to FFT to extract spectral density within specific frequency ranges?

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I am looking for an algorithm that allows me to get additional/ consistent information of the low frequency spectral components of a signal. So far I have been using Fast fourier transforms, the issue is that these algorithms are generally chaotic in the lower end of the frequency spectrum, and provide a lot of information that is not useful to me. for reference, I am working with ~2500 samples and I'm only interested in the first 100 elements of the FFT (from 0 frequency to 1/25th of the nyquist frequency). Are you aware of any algorithms that can provide a more detailed discrete breakdown of the low frequency spectral components of a signal at the cost of ignoring the higher frequency ones?