  We provide a new approach to solve one dimension Fokker-Planck equation in
the Laplace domain for the case where a particle is evolving in a potential
energy curve in the presence of general delocalized sink. We also calculate
rate constants in the presence of non-localized sink on different potential
energy curves. In the previous method, we need to solve matrix equations to
calculate rate constant but in our method, it is not required. We also
calculate the rate constant by using the method to some known potential curve,
viz, flat potential, linear potential, and parabolic potential.
