Linear barycentric rational collocation method for solving heat conduction equation

DOI10.1002/num.22539OpenAlexW3081652472WikidataQ114235263 ScholiaQ114235263MaRDI QIDQ6088463

Yongling Cheng, Jin Li

Publication date: 14 December 2023

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22539

zbMATH Keywords

heat conduction equationbarycentric formlinear rational interpolation

Mathematics Subject Classification ID

Heat equation (35K05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical interpolation (65D05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Rate of convergence, degree of approximation (41A25) Second-order parabolic equations (35K10) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items

Barycentric rational collocation method for nonlinear heat conduction equation ⋮ Numerical solution of Volterra integro-differential equations with linear barycentric rational method ⋮ Barycentric rational collocation method for the incompressible Forchheimer flow in porous media ⋮ Linear barycentric rational collocation method for solving non-linear partial differential equations ⋮ Linear barycentric rational collocation method for solving biharmonic equation ⋮ Barycentric rational method for solving biharmonic equation by depression of order ⋮ Barycentric interpolation collocation method for solving fractional linear Fredholm-Volterra integro-differential equation ⋮ Barycentric rational interpolation method for solving fractional cable equation ⋮ Barycentric rational interpolation method for solving time-dependent fractional convection-diffusion equation ⋮ A kind of FM-BEM penalty function method for a 3D elastic frictional contact nonlinear system ⋮ Extended error expansion of classical midpoint rectangle rule for Cauchy principal value integrals on an interval ⋮ Numerical solution for third-order two-point boundary value problems with the barycentric rational interpolation collocation method ⋮ Linear barycentric rational method for two-point boundary value equations ⋮ Linear barycentric rational method for solving Schrödinger equation

Cites Work

• Linear barycentric rational quadrature
• On the stable solution of transient convection-diffusion equations
• Convergence rates of derivatives of a family of barycentric rational interpolants
• High-order compact solution of the one-dimensional heat and advection-diffusion equations
• The linear barycentric rational method for a class of delay Volterra integro-differential equations
• On the Lebesgue constant of barycentric rational Hermite interpolants at equidistant nodes
• Finite-difference lattice Boltzmann model for nonlinear convection-diffusion equations
• Linear barycentric rational collocation method for solving second-order Volterra integro-differential equation
• Recent advances in linear barycentric rational interpolation
• Barycentric rational interpolation with no poles and high rates of approximation
• Linear Rational Finite Differences from Derivatives of Barycentric Rational Interpolants
• Spectral Methods
• Nonlinear convection-diffusion problems: fully discrete approximations and a posteriori error estimates
• The Linear Barycentric Rational Quadrature Method for Volterra Integral Equations
• Error estimate for approximate solutions of a nonlinear convection-diffusion problem.