A Tension Spline Based Numerical Algorithm for Singularly Perturbed Partial Differential Equations on Non-uniform Discretization

DOI10.1007/S10440-024-00645-2MaRDI QIDQ6492270

P. Murali Mohan Kumar, A. S. V. Ravi Kanth

Publication date: 24 April 2024

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Parameter uniform numerical scheme for time dependent singularly perturbed convection-diffusion-reaction problems with general shift arguments
A parameter uniform difference scheme for parabolic partial differential equation with a retarded argument
A parameter-uniform numerical method for time-dependent singularly perturbed differential-difference equations
Upwind and midpoint upwind difference methods for time-dependent differential difference equations with layer behavior
A numerical approach for solving singularly perturbed convection delay problems via exponentially fitted spline method
Nonlinear stochastic differential delay equations
Numerical analysis of two-parameter singularly perturbed boundary value problems via fitted splines
Computational study for a class of time-dependent singularly perturbed parabolic partial differential equation through tension spline
A parameter-uniform numerical scheme for the parabolic singularly perturbed initial boundary value problems with large time delay
A parameter-robust finite difference method for singularly perturbed delay parabolic partial differential equations
Numerical treatment for the class of time dependent singularly perturbed parabolic problems with general shift arguments
Fitted numerical methods for singularly perturbed one-dimensional parabolic partial differential equations with small shifts arising in the modelling of neuronal variability
A Fitted Numerov Method for Singularly Perturbed Parabolic Partial Differential Equation with a Small Negative Shift Arising in Control Theory
A second-order fitted operator finite difference method for a singularly perturbed delay parabolic partial differential equation
Robust Numerical Methods for Singularly Perturbed Differential Equations
Analysis of Some Difference Approximations for a Singular Perturbation Problem Without Turning Points
Singular Perturbation Analysis of Boundary-Value Problems for Differential-Difference Equations. VI. Small Shifts with Rapid Oscillations
An implicit scheme for singularly perturbed parabolic problem with retarded terms arising in computational neuroscience
A variable-mesh approximation method for singularly perturbed boundary-value problems using cubic spline in tension
A Robust computational method for singularly perturbed delay parabolic convection-diffusion equations arising in the modeling of neuronal variability
Computational results and analysis for a class of linear and nonlinear singularly perturbed convection delay problems on Shishkin mesh

This page was built for publication: A Tension Spline Based Numerical Algorithm for Singularly Perturbed Partial Differential Equations on Non-uniform Discretization