Solution to SPDDE using Exponentially Fitted Spline Method

Abstract

Within this paper, We have answered of SPDDE along with delay. Also, advanced parameters utilizing an exponentially fitted spline approach. At first, the given second order differential-difference equation is replaced by an asymptotically proportionate second order singular perturbation problem. At that point, a fitting factor is brought into the exponentially fitted spline Method. The value of fitting factor is obtained by the singular perturbations theory. The Thomas algorithm is used to solve the tridiagonal system obtained by the method. We have charted maximum absolute errors for the instances selected from the literature. Numerical results, along with comparison, along with the various other strategies, are revealed to expatiate the effectiveness of the technique for arbitrary λ₁, λ2 such that λ₁ +λ₂ =1/2.