A higher order hybrid-numerical approximation for a class of singularly perturbed two-dimensional convection-diffusion elliptic problem with non-smooth convection …
In this article, we examine a higher order convergent approximation for a class of singularly
perturbed two-dimensional (2-D) convection-diffusion-reaction elliptic problems with …
perturbed two-dimensional (2-D) convection-diffusion-reaction elliptic problems with …
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 theoretical study of the fractional-order p-Laplacian nonlinear Hadamard type turbulent flow models having the Ulam–Hyers stability
In this article, we study the solvability properties of some nonlinear Hadamard type nonlocal
turbulent flow models in porous medium involving the p-Laplacian operator. Based on a …
turbulent flow models in porous medium involving the p-Laplacian operator. Based on a …
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 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 …
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 …
Uniformly convergent numerical scheme for solving singularly perturbed parabolic convection-diffusion equations with integral boundary condition
WS Hailu, GF Duressa - Differential Equations and Dynamical Systems, 2023 - Springer
The singularly perturbed parabolic convection-diffusion equations with integral boundary
conditions and a large negative shift are studied in this paper. The Crank-Nicolson finite …
conditions and a large negative shift are studied in this paper. The Crank-Nicolson finite …