Higher order approximations for fractional order integro-parabolic partial differential equations on an adaptive mesh with error analysis
This work deals with a higher order numerical approximation for analyzing a class of multi-
term time fractional partial integro-differential equations involving Volterra integral operators …
term time fractional partial integro-differential equations involving Volterra integral operators …
Parameter uniform higher order numerical treatment for singularly perturbed Robin type parabolic reaction diffusion multiple scale problems with large delay in time
In this paper, we address a class of boundary layer originated singularly perturbed parabolic
reaction-diffusion problems with Robin boundary conditions having large time delay; for the …
reaction-diffusion problems with Robin boundary conditions having large time delay; for the …
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 …
Computational cost reduction for coupled system of multiple scale reaction diffusion problems with mixed type boundary conditions having boundary layers
In this article, we consider the computational cost reduction of approximating a coupled
system of time variant multiscale parameterized problems with mixed type conditions, in …
system of time variant multiscale parameterized problems with mixed type conditions, in …
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 higher order stable numerical approximation for time‐fractional non‐linear Kuramoto–Sivashinsky equation based on quintic BB‐spline
This article deals with designing and analyzing a higher order stable numerical analysis for
the time‐fractional Kuramoto–Sivashinsky (K‐S) equation, which is a fourth‐order non …
the time‐fractional Kuramoto–Sivashinsky (K‐S) equation, which is a fourth‐order non …
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 …