An iterative numerical method for singularly perturbed reaction–diffusion equations with negative shift

Singular Perturbations and Large Time Delays Through Accelerated Spline-Based Compression Technique

“…An almost first order convergent finite difference scheme by using piecewise Shishkin type mesh is presented in [26] and an exponentially fitted finite difference method is suggested in [27] to tackle the problem. The works in [28][29][30][31][32][33][34][35] also give the approximate solution of these kind of problems with different numerical approaches.…”

Tension spline approach to singularly perturbed delay differential equations involving large delay

“…Tang and Geng [13] investigated a fitted reproducing kernel method to solve singularly perturbed delay differential equations. Selvi and Ramanujam [11] suggested an iterative method in which the solution of delay term and non-delay term is computed by different methods. Kudu and et al [5] developed implicit difference rules for the differential component and for the integral part, there are composite numerical quadrature rules.…”

Numerical Solution of a Boundary Value Problem Including Both Delay and Boundary Layer

“…In [4,16,17] have been considered some asymptotic analysis of boundary value problems for second order singularly perturbed differential-difference equations and some numerical techniques for solving of this type of problems with large and small shifts were considered in [12,14,18] and references therein. Particularly, reproducing kernel method [12], initial value technique [25], some special finite element method [23,26] have been used for solving these problems.…”