On the public citation graph

Quadratic B‐spline collocation method for time dependent singularly perturbed differential‐difference equation arising in the modeling of neuronalactivity

https://doi.org/10.1002/num.22738
0 signed · 53 inferred · view as graph

Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.

Is this your work? Sign in with ORCID and put your name on the claims that are yours.
Claim with ORCID
Reference health. See whether every reference in this work resolves to a known work and none has been retracted — and get a dated CiteStamped badge you can embed.
See reference health

What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/nme.318openalex-snapshot
Optimal mesh design for the finite element approximation of reaction–diffusion problems
inferredcites →https://doi.org/10.1002/num.20030openalex-snapshot
High‐order numerical methods for one‐dimensional parabolic singularly perturbed problems with regular layers
inferredcites →https://doi.org/10.1002/num.22203openalex-snapshot
Higher order numerical approximation for time dependent singularly perturbed differential‐difference convection‐diffusion equations
inferredcites →https://doi.org/10.1002/num.22269openalex-snapshot
An implicit scheme for singularly perturbed parabolic problem with retarded terms arising in computational neuroscience
inferredcites →https://doi.org/10.1007/bf00251441openalex-snapshot
Second-order linear parabolic equations with a small parameter
inferredcites →https://doi.org/10.1007/bf00335237openalex-snapshot
An analysis of Stein's model for stochastic neuronal excitation
inferredcites →https://doi.org/10.1007/bf00364117openalex-snapshot
Firing rates of motoneurons with strong random synaptic excitation
inferredcites →https://doi.org/10.1007/bf01406966openalex-snapshot
Quandratic interpolatory splines
inferredcites →https://doi.org/10.1007/s00607-005-0140-4openalex-snapshot
Optimal Quadratic and Cubic Spline Collocation on Nonuniform Partitions
inferredcites →https://doi.org/10.1007/s11075-009-9317-9openalex-snapshot
Quadratic spline collocation for one-dimensional linear parabolic partial differential equations
inferredcites →https://doi.org/10.1007/s11075-011-9529-7openalex-snapshot
Approximation of singularly perturbed reaction-diffusion problems by quadratic C 1-splines
inferredcites →https://doi.org/10.1007/s11075-016-0199-3openalex-snapshot
Parameter uniform numerical scheme for time dependent singularly perturbed convection-diffusion-reaction problems with general shift arguments
inferredcites →https://doi.org/10.1007/s11075-019-00676-zopenalex-snapshot
A quadratic spline collocation method for the Dirichlet biharmonic problem
inferredcites →https://doi.org/10.1007/s12591-015-0265-7openalex-snapshot
Numerical Treatment for the Class of Time Dependent Singularly Perturbed Parabolic Problems with General Shift Arguments
inferredcites →https://doi.org/10.1007/s12591-017-0363-9openalex-snapshot
Fitted Numerical Methods for Singularly Perturbed One-Dimensional Parabolic Partial Differential Equations with Small Shifts Arising in the Modelling of Neuronal Variability
inferredcites →https://doi.org/10.1007/s40314-018-0599-1openalex-snapshot
A posteriori maximum-norm error bounds for the biquadratic spline collocation method applied to reaction-diffusion problems
inferredcites →https://doi.org/10.1016/0303-2647(91)90004-5openalex-snapshot
Generalized Stein's model for anatomically complex neurons
inferredcites →https://doi.org/10.1016/j.amc.2005.05.020openalex-snapshot
Quadratic B-spline finite element method for numerical solution of the Burgers’ equation
inferredcites →https://doi.org/10.1016/j.amc.2007.11.033openalex-snapshot
Upwind and midpoint upwind difference methods for time-dependent differential difference equations with layer behavior
inferredcites →https://doi.org/10.1016/j.apm.2010.11.074openalex-snapshot
A parameter-uniform numerical method for time-dependent singularly perturbed differential-difference equations
inferredcites →https://doi.org/10.1016/j.apnum.2017.06.003openalex-snapshot
Exponentially graded mesh for a singularly perturbed problem with two small parameters
inferredcites →https://doi.org/10.1016/j.cam.2006.05.032openalex-snapshot
A parameter-robust finite difference method for singularly perturbed delay parabolic partial differential equations
inferredcites →https://doi.org/10.1016/j.camwa.2012.04.005openalex-snapshot
The boundary layer problem: A fourth-order adaptive collocation approach
inferredcites →https://doi.org/10.1016/j.camwa.2016.07.008openalex-snapshot
Finite element approximation of convection–diffusion problems using an exponentially graded mesh
inferredcites →https://doi.org/10.1016/s0006-3495(67)86574-3openalex-snapshot
Some Models of Neuronal Variability
inferredcites →https://doi.org/10.1016/s0022-5193(84)80136-8openalex-snapshot
On approximations of Stein's neuronal model
inferredcites →https://doi.org/10.1016/s0898-1221(01)85004-5openalex-snapshot
Quadratic B-spline curve interpolation
inferredcites →https://doi.org/10.1080/01630563.2015.1043372openalex-snapshot
Convergence of Three-Step Taylor Galerkin Finite Element Scheme Based Monotone Schwarz Iterative Method for Singularly Perturbed Differential-Difference Equation
inferredcites →https://doi.org/10.1090/mmono/023openalex-snapshot
Linear and Quasi-linear Equations of Parabolic Type
inferredcites →https://doi.org/10.1090/s0002-9904-1974-13566-4openalex-snapshot
Quadratic spline interpolation
inferredcites →https://doi.org/10.1090/s0025-5718-1978-0483484-9openalex-snapshot
Analysis of Some Difference Approximations for a Singular Perturbation Problem Without Turning Points
inferredcites →https://doi.org/10.1137/0142036openalex-snapshot
Singular Perturbation Analysis of Boundary Value Problems for Differential-Difference Equations
inferredcites →https://doi.org/10.1137/s0036139992228119openalex-snapshot
Singular Perturbation Analysis of Boundary-Value Problems for Differential-Difference Equations. VI. Small Shifts with Rapid Oscillations
inferredcites →https://doi.org/10.1515/cmam-2015-0002openalex-snapshot
Finite Element Analysis of an Exponentially Graded Mesh for Singularly Perturbed Problems

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.4882942openalex-extracted
Fitted Mesh Hybridized Approach for Singularly Perturbed Unsteady Convection-Diffusion Problem with Boundary Turning Points
inferred← citeshttps://doi.org/10.1002/cmm4.1201openalex-snapshot
An asymptotic streamline diffusion finite element method for singularly perturbed convection‐diffusion delay differential equations with point source
inferred← citeshttps://doi.org/10.1007/s12591-026-00760-6openalex-snapshot
Numerical Methods based on Non-Polynomial Splines for Solving Singularly Perturbed Parabolic Partial Differential Equations with Small Shifts
inferred← citeshttps://doi.org/10.1007/s40009-023-01237-8openalex-snapshot
Monotone Hybrid Numerical Method for Singularly Perturbed Time-Lagged Semilinear Parabolic Problems
inferred← citeshttps://doi.org/10.1007/s40314-022-02102-yopenalex-snapshot
A new numerical algorithm for time-dependent singularly perturbed differential-difference convection–diffusion equation arising in computational neuroscience
inferred← citeshttps://doi.org/10.1016/j.apnum.2026.01.002openalex-snapshot
A higher order collocation method for a singularly perturbed system having boundary turning points
inferred← citeshttps://doi.org/10.1016/j.matcom.2021.12.026openalex-snapshot
A uniformly convergent quadratic B -spline based scheme for singularly perturbed degenerate parabolic problems
inferred← citeshttps://doi.org/10.1016/j.matcom.2024.10.010openalex-snapshot
An effective numerical approach for solving a system of singularly perturbed differential–difference equations in biology and physiology
inferred← citeshttps://doi.org/10.1016/j.rico.2022.100180openalex-snapshot
Numerical investigation of unconditionally stable spline function for three-dimensional time-fractional telegraph equations
inferred← citeshttps://doi.org/10.1134/s0012266125060035openalex-snapshot
Approximation of Multi-Region Inner Layer Solutions for Second-Order Weakly Nonlinear Singularly Perturbed Problems with Advance and Delay
inferred← citeshttps://doi.org/10.1155/2021/6637661openalex-snapshot
Uniformly Convergent Numerical Scheme for Singularly Perturbed Parabolic PDEs with Shift Parameters
inferred← citeshttps://doi.org/10.1155/ijmm/7247457openalex-snapshot
Hybrid Fitted Mesh Strategy for Singularly Perturbed Time‐Dependent Convection‐Diffusion Problems Featuring Boundary Turning Points
inferred← citeshttps://doi.org/10.1186/s13661-024-01971-yopenalex-snapshot
Numerical algorithms based on splines for singularly perturbed parabolic partial differential equations with mixed shifts
inferred← citeshttps://doi.org/10.2989/16073606.2024.2385424openalex-snapshot
The maximum norm error estimate and Richardson extrapolation methods of a second-order box scheme for a hyperbolic-difference equation with shifts
inferred← citeshttps://doi.org/10.3390/axioms14050362openalex-snapshot
A Layer-Adapted Numerical Method for Singularly Perturbed Partial Functional-Differential Equations
inferred← citeshttps://doi.org/10.3390/math11051108openalex-snapshot
A Systematic Review on the Solution Methodology of Singularly Perturbed Differential Difference Equations
inferred← citeshttps://doi.org/10.3846/mma.2025.21517openalex-snapshot
Robust computing technique for reaction diffusion 2D parabolic problems with shift
inferred← citeshttps://doi.org/10.51400/2709-6998.2578openalex-snapshot
A Hybrid Finite Difference Method for Singularly Perturbed Delay Partial Differential Equations with Discontinuous Coefficient and Source
inferred← citeshttps://doi.org/10.5556/j.tkjm.53.2022.3638openalex-snapshot
Fitted Numerical Scheme for Solving Singularly Perturbed Parabolic Delay Partial Differential Equations
Editorial review for independent work. ICSAC — the Institute for Complexity Science and Advanced Computing — runs a structured editorial panel for researchers publishing outside journals, and publishes on CiteStamp rails. Submission is free and goes through ORCID: icsacinstitute.org/submit.