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Showing 81-100 of 4,379 results

  1. Error Analysis of Nonlinear Time Fractional Mobile/Immobile Advection-Diffusion Equation with Weakly Singular Solutions

    In this paper, a weighted and shifted Grünwald-Letnikov difference (WSGD) Legendre spectral method is proposed to solve the two-dimensional nonlinear...

    Hui Zhang, **aoyun Jiang, Fawang Liu in Fractional Calculus and Applied Analysis
    Article 29 January 2021

  2. Compact finite difference method to numerically solving a stochastic fractional advection-diffusion equation

    In this paper, a stochastic space fractional advection diffusion equation of Itô type with one-dimensional white noise process is presented. The...

    N. H. Sweilam, D. M. El-Sakout, M. M. Muttardi in Advances in Difference Equations
    Article Open access 29 April 2020

  3. Simulation of advection–diffusion–dispersion equations based on a composite time discretization scheme

    In this work, we develop a high-order composite time discretization scheme based on classical collocation and integral deferred correction methods in...

    Sunyoung Bu, Soyoon Bak in Advances in Difference Equations
    Article Open access 20 March 2020

  4. Aggregation Kinetics in Sedimentation: Effect of Diffusion of Particles

    Abstract

    The aggregation kinetics of settling particles is studied theoretically and numerically using the advection–diffusion equation. Agglomeration...

    N. V. Brilliantov, R. R. Zagidullin, ... A. P. Smirnov in Computational Mathematics and Mathematical Physics
    Article 01 April 2023

  5. IMEX-RK Finite Volume Methods for Nonlinear 1d Parabolic PDEs. Application to Option Pricing

    The goal of this paper is to develop 2nd order Implicit-Explicit Runge-Kutta (IMEX-RK) finite volume (FV) schemes for solving 1d parabolic PDEs for...
    J. G. López-Salas, M. Suárez-Taboada, ... J. A. García-Rodríguez in Hyperbolic Problems: Theory, Numerics, Applications. Volume II
    Conference paper 2024

  6. Second-Order Finite Difference/Spectral Element Formulation for Solving the Fractional Advection-Diffusion Equation

    The main aim of this paper is to analyze the numerical method based upon the spectral element technique for the numerical solution of the fractional...

    Mostafa Abbaszadeh, Hanieh Amjadian in Communications on Applied Mathematics and Computation
    Article 19 March 2020

  7. Worked Out Problem 15: Stabilized Reduced Method for an Advection Dominated Problem

    In this chapter, we consider a scalar advection-diffusion PDE modeling a stabilized advection dominated flow problem in a two-dimensional domain. The...
    Gianluigi Rozza, Francesco Ballarin, ... Federico Pichi in Real Time Reduced Order Computational Mechanics
    Chapter 2024

  8. Novel Flux Approximation Schemes for Systems of Coupled Advection-Diffusion-Reaction Equations

    The physical modeling of transport in multi-component mixtures results in systems of coupled equations for the mass fractions. This contribution...
    J. van Dijk, R. A. M. van Gestel, ... J. H. M. ten Thije Boonkkamp in Numerical Mathematics and Advanced Applications ENUMATH 2019
    Conference paper 2021

  9. An Approximate Riemann Solver for Advection–Diffusion Based on the Generalized Riemann Problem

    We construct an approximate Riemann solver for scalar advection–diffusion equations with piecewise polynomial initial data. The objective is to...

    Steven Jöns, Claus-Dieter Munz in Communications on Applied Mathematics and Computation
    Article 26 October 2019

  10. Existence and Asymptotic Stability of a Stationary Boundary-Layer Solution of the Two-Dimensional Reaction–Diffusion–Advection Problem

    Abstract

    We prove the existence and the Lyapunov asymptotic stability of a stationary boundary layer solution of the initial–boundary value problem...

    N. T. Levashova, N. N. Nefedov, O. A. Nikolaeva in Differential Equations
    Article 01 February 2020

  11. Adaptive Dynamic Grids and Mimetic Finite Difference Method for Miscible Displacement Problem

    Abstract

    We consider the solution of a two-phase miscible displacement problem on dynamic adaptive meshes using the mimetic finite difference method....

    A. Abushaikha, K. Terekhov in Lobachevskii Journal of Mathematics
    Article 01 January 2024

  13. Numerical Solution of Space and Time Fractional Advection–Diffusion Equation by Meshless Approach

    In this paper, fractional version of advection–diffusion equation (FADE) has been considered for the numerical solution. It is acquired from the...
    Hitesh Bansu, Sushil Kumar in Mathematical Modeling and Computational Tools
    Conference paper 2020

  14. Convergence to Sharp Traveling Waves of Solutions for Burgers-Fisher-KPP Equations with Degenerate Diffusion

    This paper is concerned with the convergence to sharp traveling waves of solutions with semi-compactly supported initial data for Burgers-Fisher-KPP...

    Tianyuan Xu, Shanming Ji, ... **gxue Yin in Journal of Nonlinear Science
    Article 16 March 2024

  15. On the Sensitivity to Model Parameters in a Filter Stabilization Technique for Advection Dominated Advection-Diffusion-Reaction Problems

    We consider a filter stabilization technique with a deconvolution-based indicator function for the simulation of advection dominated...
    Kayla Bicol, Annalisa Quaini in Numerical Methods for Flows
    Chapter 2020

  16. Optimal Control for Suppression of Singularity in Chemotaxis via Flow Advection

    This work focuses on the optimal control design for suppressing the singularity formation in chemotaxis governed by the parabolic-elliptic...

    Weiwei Hu, Ming-Jun Lai, **sil Lee in Applied Mathematics & Optimization
    Article 12 April 2024

  17. Multilevel Quasi-Monte Carlo Uncertainty Quantification for Advection-Diffusion-Reaction

    We survey the numerical analysis of a class of deterministic, higher-order QMC integration methods in forward and inverse uncertainty quantification...
    Lukas Herrmann, Christoph Schwab in Monte Carlo and Quasi-Monte Carlo Methods
    Conference paper 2020

  18. A Boundary Integral Equation Formulation for Advection–Diffusion–Reaction Problems with Point Sources

    This paper presents a boundary integral equation formulation for two dimensional, steady-state advection–diffusion–reaction problems with constant...
    Luiz F. Bez, Rogério J. Marczak, ... Marco T. Vilhena in Computational and Analytic Methods in Science and Engineering
    Chapter 2020

  19. Well-Posedness of Time-Fractional Advection-Diffusion-Reaction Equations

    We establish the well-posedness of an initial-boundary value problem for a general class of linear time-fractional, advection-diffusion-reaction...

    William McLean, Kassem Mustapha, ... Omar Knio in Fractional Calculus and Applied Analysis
    Article 01 August 2019

  20. Gegenbauer wavelet operational matrix method for solving variable-order non-linear reaction–diffusion and Galilei invariant advection–diffusion equations

    In this article, a variable-order operational matrix of Gegenbauer wavelet method based on Gegenbauer wavelet is applied to solve a space–time...

    Sachin Kumar, Prashant Pandey, Subir Das in Computational and Applied Mathematics
    Article 04 October 2019
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