Barycentric rational collocation methods for a class of nonlinear parabolic partial differential equations
From MaRDI portal
Publication:518462
DOI10.1016/j.aml.2016.12.011zbMath1361.65082OpenAlexW2561980341MaRDI QIDQ518462
Ting-Zhu Huang, Xian-Ming Gu, Wei-Hua Luo, Yi Liu
Publication date: 28 March 2017
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2016.12.011
numerical examplecollocation methodheat equationnonlinear parabolic equationsRunge-Kutta methodFitzhugh-Nagumo equationbarycentric rational interpolation
Nonlinear parabolic equations (35K55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Related Items (17)
Two meshless methods based on pseudo spectral delta-shaped basis functions and barycentric rational interpolation for numerical solution of modified Burgers equation ⋮ Barycentric interpolation collocation method based on Crank-Nicolson scheme for the Allen-Cahn equation ⋮ An accurate computational method for two-dimensional (2D) fractional Rayleigh-Stokes problem for a heated generalized second grade fluid via linear barycentric interpolation method ⋮ Treating the Gibbs phenomenon in barycentric rational interpolation and approximation via the S-Gibbs algorithm ⋮ An interpolation method for the optimal control problem governed by the elliptic convection–diffusion equation ⋮ Numerical simulation of two‐dimensional and three‐dimensional generalized<scp>Klein–Gordon–Zakharov</scp>equations with power law nonlinearity via a meshless collocation method based on barycentric rational interpolation ⋮ Two meshless methods based on local radial basis function and barycentric rational interpolation for solving 2D viscoelastic wave equation ⋮ The numerical solutions for the nonhomogeneous Burgers' equation with the generalized Hopf-Cole transformation ⋮ A numerical method based on barycentric interpolation collocation for nonlinear convection-diffusion optimal control problems ⋮ Numerical solution of a class of nonlinear partial differential equations by using barycentric interpolation collocation method ⋮ Bivariate barycentric rational interpolation method for two dimensional fractional Volterra integral equations ⋮ Rational spectral collocation and differential evolution algorithms for singularly perturbed problems with an interior layer ⋮ A new efficient method for the numerical solution of linear time-dependent partial differential equations ⋮ Numerical simulation of partial differential equations via local meshless method ⋮ Barycentric rational collocation methods for Volterra integral equations with weakly singular kernels ⋮ Numerical simulation of a class of hyperchaotic system using barycentric Lagrange interpolation collocation method ⋮ Numerical simulation of a class of three-dimensional Kolmogorov model with chaotic dynamic behavior by using barycentric interpolation collocation method
Cites Work
- Linear barycentric rational quadrature
- Convergence rates of derivatives of a family of barycentric rational interpolants
- A non-standard symmetry-preserving method to compute bounded solutions of a generalized Newell-Whitehead-Segel equation
- Adaptive rational spectral methods for the linear stability analysis of nonlinear fourth-order problems
- A Jacobi-Gauss-Lobatto collocation method for solving generalized Fitzhugh-Nagumo equation with time-dependent coefficients
- Rational functions for guaranteed and experimentally well-conditioned global interpolation
- On systems of nonlinear equations: some modified iteration formulas by the homotopy perturbation method with accelerated fourth- and fifth-order convergence
- Convergence rates of derivatives of Floater-Hormann interpolants for well-spaced nodes
- Barycentric rational interpolation with no poles and high rates of approximation
- Application of semi-analytic methods for the Fitzhugh-Nagumo equation, which models the transmission of nerve impulses
- Exponential convergence of a linear rational interpolant between transformed Chebyshev points
- Comparison of the Discrete Singular Convolution and Three Other Numerical Schemes for Solving Fisher's Equation
- Convergence of Linear Barycentric Rational Interpolation for Analytic Functions
- The Linear Barycentric Rational Quadrature Method for Volterra Integral Equations
- The linear rational collocation method
This page was built for publication: Barycentric rational collocation methods for a class of nonlinear parabolic partial differential equations
