Barycentric rational collocation method for nonlinear heat conduction equation

DOI10.1155/2022/8998193zbMath1499.65565OpenAlexW4283762640MaRDI QIDQ2162403

Publication date: 5 August 2022

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2022/8998193

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Heat equation (35K05) Numerical interpolation (65D05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Cites Work

Unnamed Item
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
Numerical solution of Volterra integro-differential equations with linear barycentric rational method
Linear Rational Finite Differences from Derivatives of Barycentric Rational Interpolants
Spectral Methods
Nonlinear convection-diffusion problems: fully discrete approximations and a posteriori error estimates
Linear barycentric rational collocation method for solving telegraph equation
The Linear Barycentric Rational Quadrature Method for Volterra Integral Equations
Error estimate for approximate solutions of a nonlinear convection-diffusion problem.
Barycentric rational method for solving biharmonic equation by depression of order
Linear barycentric rational collocation method for solving heat conduction equation

This page was built for publication: Barycentric rational collocation method for nonlinear heat conduction equation