A fitted deviating argument and interpolation scheme for the solution of singularly perturbed differential-difference equation having layers at both ends

Abstract

In this paper, problem of singularly perturbed differential-difference equation having boundary layers at both ends is solved and analyzed numerically by fitted method. To do this, original problem is transformed into an asymptotically equivalent singularly perturbed differential equation by Taylor’s series expansion. By introducing deviating argument concept, SPDE is replaced by first order differential equation. Resulting equation having deviating argument is solved with proper choice of fitting factor and interpolation. To demonstrate the applicability of this numerical method, three test examples are solved and numerical results are compared with the available/exact results.