Transport-diffusion models with nonlinear boundary conditions and solution by generalized collocation methods
From MaRDI portal
Publication:980051
DOI10.1016/j.camwa.2009.02.034zbMath1189.76574OpenAlexW1992893838MaRDI QIDQ980051
Roberto Revelli, Luca Ridolfi, Elisabetta De Angelis
Publication date: 28 June 2010
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2009.02.034
Diffusion (76R50) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Related Items (2)
On the mathematical theory of living systems. II: The interplay between mathematics and system biology ⋮ Boundary conditions for first order macroscopic models of vehicular traffic in the presence of tollgates
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sinc collocation-interpolation method for the simulation of nonlinear waves
- From the modelling of driver's behavior to hydrodynamic models and problems of traffic flow
- Derivation of hyperbolic models for chemosensitive movement
- Nonlinear convection-dispersion models with a localized pollutant source. II: A class of inverse problems
- Stochastic partial differential equations in continuum physics - on the foundations of the stochastic interpolation method for Ito's type equations
- On the onset of non-linearity for diffusion models of binary mixtures of biological materials by asymptotic analysis
- Three-dimensional elasticity solutions for free vibrations of rectangular plates by the differential quadrature method
- Solution of nonlinear initial-boundary value problems by sinc collocation-interpolation methods
- Nonlinear models and problems in applied sciences from differential quadrature to generalized collocation methods
- Differential quadrature element analysis using extended differential quadrature
- Nonlinear convection-dispersion models with a distributed pollutant source. I: Direct initial boundary value problems
- A new differential quadrature methodology for beam analysis and the associated differential quadrature element method
- Generalization of differential quadrature discretization
- Finite volume and WENO scheme in one-dimensional vascular system modelling
- From microscopic to macroscopic description of multicellular systems and biological growing tissues
- Generalized collocation methods. Solutions to nonlinear problems.
- Multidimensional high-field limit of the electrostatic Vlasov-Poisson-Fokker-Planck system
- On the numerical solutions of second order macroscopic models of pedestrian flows
- Differential quadrature and longterm integration
- ON THE FOUNDATIONS OF CANCER MODELLING: SELECTED TOPICS, SPECULATIONS, AND PERSPECTIVES
- CONTINUUM LIMIT OF SELF-DRIVEN PARTICLES WITH ORIENTATION INTERACTION
- FIRST-ORDER MACROSCOPIC MODELLING OF HUMAN CROWD DYNAMICS
- ON THE MODELLING CROWD DYNAMICS FROM SCALING TO HYPERBOLIC MACROSCOPIC MODELS
- NUMERICAL TREATMENT OF A NONLINEAR NONLOCAL TRANSPORT EQUATION MODELING CRYSTAL PRECIPITATION
- FLUID DYNAMIC LIMITS FOR GAS MIXTURE I: FORMAL DERIVATIONS
- A GENERALIZED KINETIC MODEL OF SEDIMENTATION OF POLYDISPERSE SUSPENSIONS WITH A CONTINUOUS PARTICLE SIZE DISTRIBUTION
- Numerical Methods Based on Whittaker Cardinal, or Sinc Functions
- Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations
- T<scp>HE</scp> F<scp>LOW OF</scp> H<scp>UMAN</scp> C<scp>ROWDS</scp>
- The Diffusion Limit of Transport Equations Derived from Velocity-Jump Processes
- MATHEMATICAL MODELING OF VEHICULAR TRAFFIC: A DISCRETE KINETIC THEORY APPROACH
- MULTICELLULAR BIOLOGICAL GROWING SYSTEMS: HYPERBOLIC LIMITS TOWARDS MACROSCOPIC DESCRIPTION
- Solution of nonlinear problems in applied sciences by generalized collocation methods and Mathematica.
This page was built for publication: Transport-diffusion models with nonlinear boundary conditions and solution by generalized collocation methods
