Numerical solution of a class of nonlinear partial differential equations by using barycentric interpolation collocation method
From MaRDI portal
Publication:1721357
DOI10.1155/2018/7260346zbMath1427.65309OpenAlexW2908218698WikidataQ128614324 ScholiaQ128614324MaRDI QIDQ1721357
Wei Zhang, Hongchun Wu, Yu-Lan Wang
Publication date: 8 February 2019
Published in: Mathematical Problems in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2018/7260346
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Interpolation in approximation theory (41A05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Related Items
Numerical solution of a class of predator-prey systems with complex dynamics characters based on a sinc function interpolation collocation method ⋮ Numerical simulation of the Lorenz-type chaotic system using barycentric Lagrange interpolation collocation method ⋮ Numerical treatment for the three-dimensional Eyring-Powell fluid flow over a stretching sheet with velocity slip and activation energy ⋮ Numerical algorithm based on extended barycentric Lagrange interpolant for two dimensional integro-differential equations ⋮ Numerical simulation of a class of three-dimensional Kolmogorov model with chaotic dynamic behavior by using barycentric interpolation collocation method
Uses Software
Cites Work
- Numerical solution of Burgers' equation with modified cubic B-spline differential quadrature method
- Barycentric rational collocation methods for a class of nonlinear parabolic partial differential equations
- Tension spline approach for the numerical solution of nonlinear Klein-Gordon equation
- A spline collocation approach for a generalized wave equation subject to non-local conservation condition
- On the application of the method of fundamental solutions to nonlinear partial differential equations
- A higher order numerical method for time fractional partial differential equations with nonsmooth data
- Numerical computation of nonlinear Fisher's reaction-diffusion equation with exponential modified cubic B-spline differential quadrature method
- Stability of numerical solution for partial differential equations with piecewise constant arguments
- Approximate solution of nonlinear differential equations with convolution product nonlinearities
- Homotopy perturbation method: a new nonlinear analytical technique
- Barycentric interpolation collocation methods for solving linear and nonlinear high-dimensional Fredholm integral equations
- Construction of solitary solution and compacton-like solution by variational iteration method
- An efficient numerical treatment of fourth‐order fractional diffusion‐wave problems
- Wavelet-based lifting scheme for the numerical solution of some class of nonlinear partial differential equations
- Solving high-dimensional partial differential equations using deep learning
- Barycentric interpolation collocation method for solving the coupled viscous Burgers' equations
- Solutions of Some Linear Fractional Partial Differential Equations in Mathematical Physics
- An Efficient Numerical Solution of Nonlinear Hunter–Saxton Equation
- Numerical solution of linear and nonlinear partial differential equations using the peridynamic differential operator
