This study presents a computational approach using a piecewise mesh to solve singularly perturbed reaction-diffusion problems. The stability of the formulated scheme is thoroughly analyzed. Several numerical examples ...

This thesis introduces a novel approach to solving Robin type singularly perturbed reaction diffusion problems through cubic non-polynomial spline approximation on a piecewise mesh. The methodology involves discretizing ...

In this thesis, uniformly convergent numerical method is presented for time-fractional singularly per turbed parabolic convection-diffusion problem with variable coefficients. The time-fractional deriva tive is considered ...

The main purpose of this dissertation is to present layer-adapted mesh methods for singularly perturbed parabolic partial differential equations of convection-diffusion and reaction-diffusion types with Robin boundary ...

In this thesis, we consider singularly perturbed differential equation containing neg ative shift parameter on the convection term. The considered problem exhibits boundary layer on the left or right side of the domain, ...