A fast and efficient numerical approach for solving advection-diffusion equations by using hybrid functions

DOI10.1007/s40314-019-0933-2zbMath1438.80008OpenAlexW2977603572WikidataQ127171548 ScholiaQ127171548MaRDI QIDQ2326364

Mohsen Hadadian Nejad Yousefi, Emran Tohidi, Seyed Hossein Ghoreishi Najafabadi

Publication date: 7 October 2019

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-019-0933-2

zbMATH Keywords

advection-diffusion equationsoperational matriceshybrid functionserror approximation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Diffusion processes (60J60) Stability and convergence of numerical methods for ordinary differential equations (65L20) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Integro-partial differential equations (35R09) Spectral, collocation and related (meshless) methods applied to problems in thermodynamics and heat transfer (80M22)

Related Items (4)

Legendre spectral collocation method for distributed and Riesz fractional convection-diffusion and Schrödinger-type equation ⋮ Novel operational matrix method for the numerical solution of nonlinear reaction-advection-diffusion equation of fractional order ⋮ Finite volume method for a time-dependent convection-diffusion-reaction equation with small parameters ⋮ Spectral solutions for a class of nonlinear wave equations with Riesz fractional based on Legendre collocation technique

Cites Work

• Unnamed Item
• The Chebyshev points of the first kind
• Numerical solution of the convection diffusion equations by the second kind Chebyshev wavelets
• High-order compact solution of the one-dimensional heat and advection-diffusion equations
• Solving diffusion equation using wavelet method
• Hybrid Legendre polynomials and block-pulse functions approach for nonlinear Volterra-Fredholm integro-differential equations
• Interface procedures for finite difference approximations of the advection-diffusion equation
• Quartic and quintic B-spline methods for advection-diffusion equation
• A wavelet-Galerkin method for a singularly perturbed convection-dominated diffusion equation
• An optimal time-stepping algorithm for unsteady advection-diffusion problems
• Numerical solutions of integrodifferential systems by hybrid of general block-pulse functions and the second Chebyshev polynomials
• Solving second kind integral equations by Galerkin methods with hybrid Legendre and block-pulse functions.
• Weighted finite difference techniques for the one-dimensional advection-diffusion equation.
• Galerkin-least square B-spline approach toward advection-diffusion equation
• High order ADI method for solving unsteady convection-diffusion problems
• A new difference scheme with high accuracy and absolute stability for solving convection-diffusion equations
• Least-squares finite element method for the advection--diffusion equation
• High order finite difference numerical methods for time-dependent convection-dominated problems
• Explicit and implicit meshless methods for linear advection-diffusion-type partial differential equations

This page was built for publication: A fast and efficient numerical approach for solving advection-diffusion equations by using hybrid functions