A graded mesh refinement approach for boundary layer originated singularly perturbed time-delayed parabolic convection diffusion problems

Theoretical prospects of fractional order weakly singular Volterra Integro differential equations and their approximations with convergence analysis

Robust numerical method for singularly perturbed semilinear parabolic differential difference equations

This article deals with two different methods to solve a time fractional partial integro-differential equation. The fractional derivatives are defined here in Caputo sense. The model problem is solved using the Adomian decomposition method and homotopy perturbation method. Moreover, this paper proves the convergence analysis of the solution based on the present methods. Numerical evidences are illustrated in support of the theoretical analysis.

Adomian decomposition and homotopy perturbation method for the solution of time fractional partial integro-differential equations

Fitted mesh method for singularly perturbed parabolic problems with an interior layer

A moving mesh refinement based optimal accurate uniformly convergent computational method for a parabolic system of boundary layer originated reaction–diffusion problems with arbitrary small diffusion terms

Deepti Shakti

Papers

A moving mesh refinement based optimal accurate uniformly convergent computational method for a parabolic system of boundary layer originated reaction–diffusion problems with arbitrary small diffusion terms