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Study of scattering process in the nonlocal interaction framework leads to anintegro-differential equation. The purpose of the present work is to develop anefficient approach to solve this integro-differential equation with high degreeof precision. The method developed here employs Taylor approximation for theradial wave function which converts the integro-differential equation in to areadily solvable second-order homogeneous differential equation. This scheme isfound to be computationally efficient by a factor of 10 when compared to theiterative scheme developed in J.~Phys.~G~Nucl.~Part.~Phys.~{\bf45},~015106~(2018). The calculated observables for neutron scattering off$^{24}$Mg, $^{40}$Ca, $^{100}$Mo and $^{208}$Pb with energies up to 10 MeV arefound to be within at most 8$\%$ of those obtained with the iterative scheme.Further, we propose an improvement over the Taylor scheme that brings theobservables so close to the results obtained by iterative scheme that they arevisually indistinguishable. This is achieved without any appreciable change inthe run time.

Taylor approximation to treat nonlocality in scattering processes