Numerical solution of nonlinear Burgers' equation using high accuracy multi-quadric quasi-interpolation
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Publication:530065
DOI10.1016/j.amc.2013.12.035zbMath1364.65207OpenAlexW2012642549MaRDI QIDQ530065
Publication date: 9 June 2017
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2013.12.035
mesh free methodinverse multi-quadric interpolationmulti-quadric quasi-interpolationnonlinear Burgers' equationradial base function
KdV equations (Korteweg-de Vries equations) (35Q53) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Related Items (10)
A class of compact finite difference schemes for solving the 2D and 3D Burgers' equations ⋮ Numerical investigation of the generalized Burgers-Huxley equation using combination of multiquadric quasi-interpolation and method of lines ⋮ A higher order implicit adaptive finite point method for the Burgers' equation ⋮ Development of the Kansa method for solving seepage problems using a new algorithm for the shape parameter optimization ⋮ Abel-Goncharov type multiquadric quasi-interpolation operators with higher approximation order ⋮ A Combination of High-OrdCompact Finite Difference Schemes and a Splitting Method that Preserves Accuracy for the Multi-Dimensional Burgers' Equation ⋮ Tailored finite point method for solving one-dimensional Burgers' equation ⋮ A class of high-order compact difference schemes for solving the Burgers' equations ⋮ Numerical solution of nonlinear advection diffusion reaction equation using high-order compact difference method ⋮ Spectral analysis on Burgers' equation and its solutions using three different basis functions
Cites Work
- Unnamed Item
- Numerical solution of one-dimensional Sine-Gordon equation using high accuracy multiquadric quasi-interpolation
- Numerical solutions of nonlinear Burgers equation with modified cubic B-splines collocation method
- High accuracy multiquadric quasi-interpolation
- Interpolation of scattered data: distance matrices and conditionally positive definite functions
- A novel numerical scheme for solving Burgers' equation
- A Chebyshev spectral collocation method for solving Burgers'-type equations
- Numerical solution of the Burgers' equation by automatic differentiation
- Univariate multiquadric approximation: Quasi-interpolation to scattered data
- A collocation solution for Burgers' equation using cubic B-spline finite elements
- Numerical solution of one-dimensional Burgers equation: Explicit and exact-explicit finite difference methods
- Approximation of function and its derivatives using radial basis function networks
- Development of RBF-DQ method for derivative approximation and its application to simulate natural convection in concentric annuli
- A univariate quasi-multiquadric interpolation with better smoothness
- Numerical solution of Burgers' equation by quadratic B-spline finite elements
- Numerical solution of periodic Burgers equation
- Numerical solutions of the Burgers' equation by the least-squares quadratic B-spline finite element method
- A Galerkin finite element approach to Burgers' equation
- Shape preserving properties and convergence of univariate multiquadric quasi-interpolation
- Polynomial based differential quadrature method for numerical solution of nonlinear Burgers equation
- An implicit fourth-order compact finite difference scheme for one-dimensional Burgers' equation
- Quartic B-spline collocation method to the numerical solutions of the Burgers' equation
- Numerical solution of one-dimensional Burgers' equation using reproducing kernel function
- High-order multi-symplectic schemes for the nonlinear Klein-Gordon equation
- Quadratic B-spline finite element method for numerical solution of the Burgers' equation
- Fourth-order finite difference method for solving Burgers' equation
- Multivariate cardinal interpolation with radial-basis functions
- Numerical solution of Burgers' equation with factorized diagonal Padé approximation
- Solution of Burgers’ Equation Using a Local-RBF Meshless Method
- Application of the Non-Polynomial Spline Approach to the Solution of the Burgers Equation'
- Radial Basis Functions
- A Collocation Solution For Burgers Equation Using Quadratic B-Spline Finite Elements
- Shock wave simulations using Sinc Differential Quadrature Method
- Scattered Data Approximation
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