A high-order unconditionally stable numerical method for a class of multi-term time-fractional diffusion equation arising in the solute transport models
In this paper, we study a high-order unconditionally stable numerical method to approximate
the class of multi-term time-fractional diffusion equations. This type of problem appears in …
the class of multi-term time-fractional diffusion equations. This type of problem appears in …
A uniformly convergent quadratic B-spline based scheme for singularly perturbed degenerate parabolic problems
In this article, a numerical scheme is developed to solve singularly perturbed convection–
diffusion type degenerate parabolic problems. The degenerative nature of the problem is …
diffusion type degenerate parabolic problems. The degenerative nature of the problem is …
A robust numerical scheme for singularly perturbed differential equations with spatio-temporal delays
In this article, we proposed and analyzed a numerical scheme for singularly perturbed
differential equations with both spatial and temporal delays. The presence of the …
differential equations with both spatial and temporal delays. The presence of the …
A new numerical algorithm for time-dependent singularly perturbed differential-difference convection–diffusion equation arising in computational neuroscience
In this paper, we study and construct a higher order numerical algorithm for singularly
perturbed differential-difference convection–diffusion equation with retarded term appearing …
perturbed differential-difference convection–diffusion equation with retarded term appearing …
A novel numerical approach for singularly perturbed parabolic convection-diffusion problems on layer-adapted meshes
Layer adaptive meshes are developed in order to solve a class of singularly perturbed
parabolic convection-diffusion Robin type problems. To discretize the problem, an upwind …
parabolic convection-diffusion Robin type problems. To discretize the problem, an upwind …
An almost second-order robust computational technique for singularly perturbed parabolic turning point problem with an interior layer
The subject of this paper is the numerical investigation of a singularly perturbed parabolic
problem with a simple interior turning point on a rectangular domain in the x− t plane with …
problem with a simple interior turning point on a rectangular domain in the x− t plane with …
[HTML][HTML] A variable stepsize hybrid block optimized technique for integrating a class of singularly perturbed parabolic problems
This paper presents and successfully applies an optimized hybrid block technique using a
variable stepsize implementation to integrate a type of singularly perturbed parabolic …
variable stepsize implementation to integrate a type of singularly perturbed parabolic …
On analytical and numerical simulations for the ultra-short pulses mathematical model in optical fibers
This paper investigates the solitons and breathers wave solutions of the generalized
nonlinear Schrödinger equation (NLGSE) of third order through new generalized …
nonlinear Schrödinger equation (NLGSE) of third order through new generalized …
[HTML][HTML] On numerical solution of boundary layer flow of viscous incompressible fluid past an inclined stretching sheet in porous medium and heat transfer using spline …
In this paper, the boundary layer flow of viscous incompressible fluid over an inclined
stretching plate in porous media with body force and heat transfer has been studied. To …
stretching plate in porous media with body force and heat transfer has been studied. To …
Parameter uniform numerical method for a system of singularly perturbed parabolic convection–diffusion equations
S Singh, D Kumar - Mathematics and Computers in Simulation, 2023 - Elsevier
This article presents a numerical study of the initial boundary value problem for a singularly
perturbed system of two equations of convection–diffusion type. The perturbation parameter …
perturbed system of two equations of convection–diffusion type. The perturbation parameter …