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 …
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 …
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
R Choudhary, S Singh, P Das… - Mathematical Methods in …, 2024 - Wiley Online Library
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 …
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 …
A uniformly convergent analysis for multiple scale parabolic singularly perturbed convection-diffusion coupled systems: Optimal accuracy with less computational time
This study addresses time-dependent multiple-scale reaction-convection-diffusion initial
boundary value systems characterized by strong coupling in the reaction matrix and weak …
boundary value systems characterized by strong coupling in the reaction matrix and weak …
Impact of mixed boundary conditions and nonsmooth data on layer‐originated nonpremixed combustion problems: Higher‐order convergence analysis
This work explores the theoretical and computational impacts of mixed‐type flux conditions
and nonsmooth data on boundary/interior layer‐originated singularly perturbed semilinear …
and nonsmooth data on boundary/interior layer‐originated singularly perturbed semilinear …