A graded mesh refinement approach for boundary layer originated singularly perturbed time‐delayed parabolic convection diffusion problems
In this work, we consider a graded mesh refinement algorithm for solving time‐delayed
parabolic partial differential equations with a small diffusion parameter. The presence of this …
parabolic partial differential equations with a small diffusion parameter. The presence of this …
On the approximate solutions of a class of fractional order nonlinear Volterra integro-differential initial value problems and boundary value problems of first kind and …
In this work we consider a class of fractional order Volterra integro-differential equations of
first kind where the fractional derivative is considered in the Caputo sense. Here, we …
first kind where the fractional derivative is considered in the Caputo sense. Here, we …
Higher order accurate approximations on equidistributed meshes for boundary layer originated mixed type reaction diffusion systems with multiple scale nature
In the present research, we consider a boundary layer originated system of reaction diffusion
problems whose boundary conditions are of mixed type. This problem is singularly …
problems whose boundary conditions are of mixed type. This problem is singularly …
A moving mesh refinement based optimal accurate uniformly convergent computational method for a parabolic system of boundary layer originated reaction–diffusion …
In this paper, a system of time dependent boundary layer originated reaction dominated
problems with diffusion parameters of different magnitudes, is considered for numerical …
problems with diffusion parameters of different magnitudes, is considered for numerical …
Theoretical prospects of fractional order weakly singular Volterra Integro differential equations and their approximations with convergence analysis
In this research, we study a weakly singular Volterra integro differential equation with
Caputo‐type fractional derivative. First, we derive a sufficient condition for the existence and …
Caputo‐type fractional derivative. First, we derive a sufficient condition for the existence and …
A novel finite difference technique with error estimate for time fractional partial integro-differential equation of Volterra type
S Santra, J Mohapatra - Journal of Computational and Applied Mathematics, 2022 - Elsevier
The main purpose of this work is to study the numerical solution of a time fractional partial
integro-differential equation of Volterra type, where the time derivative is defined in Caputo …
integro-differential equation of Volterra type, where the time derivative is defined in Caputo …
Adomian decomposition and homotopy perturbation method for the solution of time fractional partial integro-differential 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 …
differential equation. The fractional derivatives are defined here in Caputo sense. The model …
Parameter uniform optimal order numerical approximations for time-delayed parabolic convection diffusion problems involving two small parameters
S Priyadarshana, J Mohapatra, SR Pattanaik - Computational and Applied …, 2022 - Springer
The purpose of this work is to provide robust numerical scheme for singularly perturbed time
delay (large) convection-reaction-diffusion problem with two small parameters. The work …
delay (large) convection-reaction-diffusion problem with two small parameters. The work …
Robust numerical method for singularly perturbed semilinear parabolic differential difference equations
MJ Kabeto, GF Duressa - Mathematics and Computers in Simulation, 2021 - Elsevier
This paper deals with the robust numerical method for solving the singularly perturbed
semilinear partial differential equation with the spatial delay. The quadratically convergent …
semilinear partial differential equation with the spatial delay. The quadratically convergent …
Uniformly convergent computational method for singularly perturbed time delayed parabolic differential-difference equations
J Mohapatra, S Priyadarshana… - Engineering …, 2023 - emerald.com
Purpose The purpose of this work is to introduce an efficient, global second-order accurate
and parameter-uniform numerical approximation for singularly perturbed parabolic …
and parameter-uniform numerical approximation for singularly perturbed parabolic …