On the public citation graph
A finite element approach for analysis and computational modelling of coupled reaction diffusion models
0 signed · 95 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.
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known work and none has been retracted — and get a dated CiteStamped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.
What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1002/aic.690110529openalex-snapshot
Mathematical models for mass transfer accompanied by reversible chemical reaction
inferredcites →https://doi.org/10.1007/3-540-33122-0openalex-snapshot
Galerkin Finite Element Methods for Parabolic Problems
inferredcites →https://doi.org/10.1007/978-1-4612-5561-1openalex-snapshot
Semigroups of Linear Operators and Applications to Partial Differential Equations
inferredcites →https://doi.org/10.1007/978-3-663-11336-2_1openalex-snapshot
Nonhomogeneous Linear and Quasilinear Elliptic and Parabolic Boundary Value Problems
inferredcites →https://doi.org/10.1007/978-88-470-5522-3openalex-snapshot
Numerical Models for Differential Problems
inferredcites →https://doi.org/10.1007/bf00178771openalex-snapshot
Implicit-explicit methods for reaction-diffusion problems in pattern formation
inferredcites →https://doi.org/10.1007/bf02429856openalex-snapshot
On a tissue interaction model for skin pattern formation
inferredcites →https://doi.org/10.1007/s00366-016-0458-xopenalex-snapshot
Application of direct meshless local Petrov–Galerkin (DMLPG) method for some Turing-type models
inferredcites →https://doi.org/10.1007/s10910-014-0333-1openalex-snapshot
A computational modeling of two dimensional reaction–diffusion Brusselator system arising in chemical processes
inferredcites →https://doi.org/10.1007/s10915-008-9218-4openalex-snapshot
Application of Discontinuous Galerkin Methods for Reaction-Diffusion Systems in Developmental Biology
inferredcites →https://doi.org/10.1007/s11538-006-9062-3openalex-snapshot
Finite-Difference Schemes for Reaction–Diffusion Equations Modeling Predator–Prey Interactions in MATLAB
inferredcites →https://doi.org/10.1016/0009-2509(83)80132-8openalex-snapshot
Autocatalytic reactions in the isothermal, continuous stirred tank reactor
inferredcites →https://doi.org/10.1016/0016-0032(65)90278-4openalex-snapshot
Partial differential equations of parabolic type
inferredcites →https://doi.org/10.1016/0022-5193(78)90332-6openalex-snapshot
On a diffusive prey-predator model which exhibits patchiness
inferredcites →https://doi.org/10.1016/j.apm.2013.09.008openalex-snapshot
Direct discontinuous Galerkin method for nonlinear reaction–diffusion systems in pattern formation
inferredcites →https://doi.org/10.1016/j.apm.2014.04.021openalex-snapshot
Two dimension spatial pattern formation in a coupled autocatalysis system
inferredcites →https://doi.org/10.1016/j.apm.2017.01.081openalex-snapshot
Pattern dynamics in a Gierer–Meinhardt model with a saturating term
inferredcites →https://doi.org/10.1016/j.apm.2017.11.005openalex-snapshot
Study of cross-diffusion induced Turing patterns in a ratio-dependent prey-predator model via amplitude equations
inferredcites →https://doi.org/10.1016/j.camwa.2011.09.049openalex-snapshot
The finite volume spectral element method to solve Turing models in the biological pattern formation
inferredcites →https://doi.org/10.1016/j.camwa.2016.04.003openalex-snapshot
Implicit–explicit time discretization coupled with finite element methods for delayed predator–prey competition reaction–diffusion system
inferredcites →https://doi.org/10.1016/j.chaos.2016.09.007openalex-snapshot
Numerical simulation of reaction-diffusion systems by modified cubic B-spline differential quadrature method
inferredcites →https://doi.org/10.1016/j.chaos.2017.06.023openalex-snapshot
Numerical simulation to capture the pattern formation of coupled reaction-diffusion models
inferredcites →https://doi.org/10.1016/j.cma.2015.11.033openalex-snapshot
Variational multiscale element free Galerkin (VMEFG) and local discontinuous Galerkin (LDG) methods for solving two-dimensional Brusselator reaction–diffusion system with and without cross-diffusion
inferredcites →https://doi.org/10.1016/j.hm.2015.03.003openalex-snapshot
After 1952: The later development of Alan Turing's ideas on the mathematics of pattern formation
inferredcites →https://doi.org/10.1016/j.jcp.2005.09.012openalex-snapshot
Time-stepping schemes for moving grid finite elements applied to reaction–diffusion systems on fixed and growing domains
inferredcites →https://doi.org/10.1016/j.jmaa.2015.08.057openalex-snapshot
A new nonlinear Galerkin finite element method for the computation of reaction diffusion equations
inferredcites →https://doi.org/10.1016/j.mcm.2004.05.016openalex-snapshot
Robust numerical methods for taxis–diffusion–reaction systems: Applications to biomedical problems
inferredcites →https://doi.org/10.1016/j.nonrwa.2015.09.004openalex-snapshot
Hopf bifurcations in general systems of Brusselator type
inferredcites →https://doi.org/10.1016/s0022-5193(87)80078-4openalex-snapshot
Complex spatial patterns from tissue interactions—an illustrative model
inferredcites →https://doi.org/10.1023/a:1019158500612openalex-snapshot
A second-order scheme for the “Brusselator” reaction–diffusion system
inferredcites →https://doi.org/10.1063/1.1668896openalex-snapshot
Symmetry Breaking Instabilities in Dissipative Systems. II
inferredcites →https://doi.org/10.1080/15502287.2010.540300openalex-snapshot
Numerical Study of Two-Dimensional Reaction-Diffusion Brusselator System by Differential Quadrature Method
inferredcites →https://doi.org/10.1086/282272openalex-snapshot
Graphical Representation and Stability Conditions of Predator-Prey Interactions
inferredcites →https://doi.org/10.1088/0951-7715/10/2/013openalex-snapshot
Pattern formation in the one-dimensional Gray - Scott model
inferredcites →https://doi.org/10.1088/1751-8113/42/23/235205openalex-snapshot
Global existence and asymptotic stability of equilibria to reaction-diffusion systems
inferredcites →https://doi.org/10.1093/imamat/hxv013openalex-snapshot
Pattern formation in a general glycolysis reaction-diffusion system
inferredcites →https://doi.org/10.1093/imamat/hxv041openalex-snapshot
A reaction–diffusion model for the non-local coupled system: existence, uniqueness, long-time behaviour and localization properties of solutions
inferredcites →https://doi.org/10.1098/rstb.1952.0012openalex-snapshot
The chemical basis of morphogenesis
inferredcites →https://doi.org/10.1103/physreve.56.185openalex-snapshot
Self-replicating spots in reaction-diffusion systems
inferredcites →https://doi.org/10.1103/physrevlett.72.2797openalex-snapshot
Dynamics of self-replicating patterns in reaction diffusion systems
inferredcites →https://doi.org/10.1108/ec-02-2017-0067openalex-snapshot
A numerical algorithm for computational modelling of coupled advection-diffusion-reaction systems
inferredcites →https://doi.org/10.1137/0518057openalex-snapshot
Global Existence and Boundedness in Reaction-Diffusion Systems
inferredcites →https://doi.org/10.1186/s13660-018-1846-0openalex-snapshot
New generalized systems of nonlinear ordered variational inclusions involving ⊕ operator in real ordered Hilbert spaces
inferredcites →https://doi.org/10.1515/phys-2015-0047openalex-snapshot
Numerical solutions of the reaction diffusion system by using exponential cubic B-spline collocation algorithms
inferredcites →https://doi.org/10.3934/dcdsb.2007.7.515openalex-snapshot
Numerical methods for stiff reaction-diffusion systems
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.4784288openalex-extracted
Mathematical Analysis and Multiscale Derivation of a Nonlinear Predator-Prey Cross-Diffusion--Fluid System with Two Chemicals
inferred← citeshttps://doi.org/10.1002/mma.70244openalex-snapshot
A Mesh‐Free Local Radial Basis Function‐Finite Difference Method for Solving Reaction‐Diffusion‐Convection Model
inferred← citeshttps://doi.org/10.1002/num.23024openalex-snapshot
Convergence and stability of Galerkin finite element method for hyperbolic partial differential equation with piecewise continuous arguments
inferred← citeshttps://doi.org/10.1007/978-981-19-7272-0_36openalex-snapshot
Virtual Element Methods for Optimal Control Problems Governed by Elliptic Interface Problems
inferred← citeshttps://doi.org/10.1007/978-981-19-7272-0_38openalex-snapshot
Heptic Hermite Collocation on Finite Elements
inferred← citeshttps://doi.org/10.1007/s00366-021-01425-4openalex-snapshot
Investigation of heat transport equation at the microscale via interpolating element-free Galerkin method
inferred← citeshttps://doi.org/10.1007/s10773-024-05601-2openalex-snapshot
Classical Regularity and Wave Structures of Fractional Order Selkov-Schnakenberg System
inferred← citeshttps://doi.org/10.1007/s10910-018-0982-6openalex-snapshot
A finite element approach to capture Turing patterns of autocatalytic Brusselator model
inferred← citeshttps://doi.org/10.1007/s10910-025-01736-7openalex-snapshot
Pattern evolution of coupled reaction–diffusion models arises in chemical systems using modified trigonometric cubic B-spline functions
inferred← citeshttps://doi.org/10.1007/s11071-023-08528-1openalex-snapshot
New multiple analytic solitonary solutions and simulation of (2+1)-dimensional generalized Benjamin-Bona-Mahony-Burgers model
inferred← citeshttps://doi.org/10.1007/s11831-025-10222-xopenalex-snapshot
The Evolution of Finite Element Approaches in Reaction-Diffusion Modeling
inferred← citeshttps://doi.org/10.1007/s12190-024-02172-7openalex-snapshot
Analytical investigation of the fractional nonlinear shallow-water model
inferred← citeshttps://doi.org/10.1007/s40065-025-00598-wopenalex-snapshot
Lie symmetry analysis and finite element discretization of hyperbolic (3+1)-dimensional telegraphic model
inferred← citeshttps://doi.org/10.1016/j.apnum.2020.11.017openalex-snapshot
Convergence and numerical simulations of prey-predator interactions via a meshless method
inferred← citeshttps://doi.org/10.1016/j.apnum.2022.06.003openalex-snapshot
Stability and convergence of spatial discrete stabilized finite volume method for the unsteady incompressible magnetohydrodynamics equations
inferred← citeshttps://doi.org/10.1016/j.apnum.2022.11.024openalex-snapshot
Numerical algorithm for a generalized form of Schnakenberg reaction-diffusion model with gene expression time delay
inferred← citeshttps://doi.org/10.1016/j.apnum.2023.12.005openalex-snapshot
A new error estimates of finite element method for (2+1)-dimensional nonlinear advection-diffusion model
inferred← citeshttps://doi.org/10.1016/j.apnum.2026.10.011openalex-snapshot
A comparison principle-preserving finite element numerical scheme for a SIS epidemic model with a linear source in spatially heterogeneous environment
inferred← citeshttps://doi.org/10.1016/j.asej.2023.102541openalex-snapshot
Goal-oriented adaptive method for Fredholm partial integro-differential equations
inferred← citeshttps://doi.org/10.1016/j.asej.2024.102806openalex-snapshot
Galerkin approximation for multi-term time-fractional differential equations
inferred← citeshttps://doi.org/10.1016/j.asej.2025.103449openalex-snapshot
Comparative study of slow and fast diffusion processes via quadratic and cubic B-spline Galerkin method
inferred← citeshttps://doi.org/10.1016/j.cam.2021.114029openalex-snapshot
An analysis of weak Galerkin finite element method for a steady state Boussinesq problem
inferred← citeshttps://doi.org/10.1016/j.camwa.2025.09.023openalex-snapshot
Morphological dynamics analysis on 3D surface using the Gray-Scott model
inferred← citeshttps://doi.org/10.1016/j.cnsns.2024.108090openalex-snapshot
Mathematical analysis and multiscale derivation of a nonlinear predator–prey cross-diffusion–fluid system with two chemicals
inferred← citeshttps://doi.org/10.1016/j.jcp.2025.114598openalex-snapshot
An adaptive stabilized finite element method for coupled nonlinear reaction-diffusion systems
inferred← citeshttps://doi.org/10.1016/j.jocs.2024.102339openalex-snapshot
Numerical study of variable order model arising in chemical processes using operational matrix and collocation method
inferred← citeshttps://doi.org/10.1016/j.joes.2022.06.006openalex-snapshot
Analytical approximate solutions of fractional nonlinear Drinfeld–Sokolov–Wilson model using modified Mittag–Leffler function
inferred← citeshttps://doi.org/10.1016/j.pnucene.2019.103104openalex-snapshot
Physics-based preconditioning of Jacobian free Newton Krylov for Burgers’ equation using modified nodal integral method
inferred← citeshttps://doi.org/10.1016/j.wavemoti.2024.103321openalex-snapshot
Higher order Galerkin finite element method for (1+2) -dimensional generalized Benjamin–Bona–Mahony–Burgers equation: A numerical investigation
inferred← citeshttps://doi.org/10.1080/00207160.2021.1989423openalex-snapshot
Convergence and numerical solution of nonlinear generalized Benjamin–Bona–Mahony–Burgers equation in 2D and 3D via generalized finite difference method
inferred← citeshttps://doi.org/10.1080/00207160.2023.2214641openalex-snapshot
Numerical method for two-dimensional linearly elastic clamped plate model
inferred← citeshttps://doi.org/10.1080/10407790.2024.2326190openalex-snapshot
Higher-order galerkin finite element method for nonlinear coupled reaction-diffusion models
inferred← citeshttps://doi.org/10.1080/10407790.2024.2360637openalex-snapshot
Analysis and simulation of the (2 + 1)-dimensional Fisher’s reaction-diffusion equation with higher order finite element method
inferred← citeshttps://doi.org/10.1088/1742-6596/2267/1/012072openalex-snapshot
Numerical solution to the Gray-Scott Reaction-Diffusion equation using Hyperbolic B-spline
inferred← citeshttps://doi.org/10.1108/hff-07-2019-0597openalex-snapshot
A cubic B-spline quasi-interpolation method for solving two-dimensional unsteady advection diffusion equations
inferred← citeshttps://doi.org/10.1109/access.2020.3044194openalex-snapshot
Galerkin Finite Element Based Modeling of One Dimensional Packed Bed Reactor for Underground Coal Gasification (UCG) Process
inferred← citeshttps://doi.org/10.1109/access.2024.3354812openalex-snapshot
Dynamical Behavior of Nonlinear Coupled Reaction-Diffusion Model: A Numerical Study Utilizing ADI and Staggered Grid Finite Volume Method in Matlab
inferred← citeshttps://doi.org/10.1155/2021/2544688openalex-snapshot
Numerical Solutions of Certain New Models of the Time-Fractional Gray-Scott
inferred← citeshttps://doi.org/10.1177/09544062211023104openalex-snapshot
Rotationally symmetric flow of Cu-Al 2 O 3 /water hybrid nanofluid over a heated porous boundary
inferred← citeshttps://doi.org/10.1186/s40323-022-00219-7openalex-snapshot
Physics-informed neural networks approach for 1D and 2D Gray-Scott systems
inferred← citeshttps://doi.org/10.1515/nleng-2020-0013openalex-snapshot
Thermoelastic analysis of FGM hollow cylinder for variable parameters and temperature distributions using FEM
inferred← citeshttps://doi.org/10.1515/phys-2025-0294openalex-snapshot
Multiplicative time noise effect on solitary wave structures in the stochastic reaction–diffusion model
inferred← citeshttps://doi.org/10.17776/csj.695738openalex-snapshot
Numerical solution of the brusselator model by time splitting method
inferred← citeshttps://doi.org/10.18038/estubtda.1162963openalex-snapshot
NUMERICAL SOLUTIONS OF REACTION-DIFFUSION EQUATION SYSTEMS WITH TRIGONOMETRIC QUINTIC B-SPLINE COLLOCATION ALGORITHM
inferred← citeshttps://doi.org/10.2298/fil2302519popenalex-snapshot
Blow up and growth of solutions to a viscoelastic parabolic type Kirchhoff equation
inferred← citeshttps://doi.org/10.3390/app12167990openalex-snapshot
Numerical Analysis of Instability Mechanism of a High Slope under Excavation Unloading and Rainfall
inferred← citeshttps://doi.org/10.3390/axioms12111004openalex-snapshot
On the Spatiotemporal Pattern Formation in Nonlinear Coupled Reaction–Diffusion Systems
inferred← citeshttps://doi.org/10.3846/mma.2026.24728openalex-snapshot
Efficient spectral-Galerkin method for the two-dimensional Gray-Scott model
inferred← citeshttps://doi.org/10.3934/dcdss.2020143openalex-snapshot
Numerical treatment of Gray-Scott model with operator splitting method
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.