Numerical study of nonlinear generalized Burgers-Huxley equation by multiquadric quasi-interpolation and pseudospectral method
DOI10.1007/s40096-022-00461-5OpenAlexW4220842341MaRDI QIDQ6066833
Hojatollah Adibi, Majid Amirfakhrian, Mahbubeh Rahimi
Publication date: 14 December 2023
Published in: Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40096-022-00461-5
pseudospectral method\( \theta \)-methodmultiquadric quasi-interpolation methodnonlinear generalized Burgers-Huxley equation
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) KdV equations (Korteweg-de Vries equations) (35Q53) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical interpolation (65D05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Cites Work
- A numerical scheme for the generalized Burgers-Huxley equation
- Recent advances on radial basis function collocation methods
- A meshfree interpolation method for the numerical solution of the coupled nonlinear partial differential equations
- Numerical simulation of two-dimensional combustion using mesh-free methods
- Development of Galerkin method for solving the generalized Burger's-Huxley equation
- High accuracy multiquadric quasi-interpolation
- A fourth-order numerical scheme for solving the modified Burgers equation
- A new domain decomposition algorithm for generalized Burgers-Huxley equation based on Chebyshev polynomials and preconditioning
- Haar wavelet method for solving generalized Burgers-Huxley equation
- Univariate multiquadric approximation: Quasi-interpolation to scattered data
- Solving a class of nonlinear boundary integral equations based on the meshless local discrete Galerkin (MLDG) method
- Shape preserving properties and convergence of univariate multiquadric quasi-interpolation
- Three methods based on the interpolation scaling functions and the mixed collocation finite difference schemes for the numerical solution of the nonlinear generalized Burgers-Huxley equation
- An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation
- A numerical algorithm based on a new kind of tension B-spline function for solving Burgers-Huxley equation
- A meshless local discrete Galerkin (MLDG) scheme for numerically solving two-dimensional nonlinear Volterra integral equations
- Numerical approximation of the nonlinear time-fractional telegraph equation arising in neutron transport
- On the generalized Burgers-Huxley equation: existence, uniqueness, regularity, global attractors and numerical studies
- On the numerical solution of one-dimensional nonlinear nonhomogeneous Burgers' equation
- Sampling inequalities for infinitely smooth radial basis functions and its application to error estimates
- On choosing ``optimal shape parameters for RBF approximation
- Numerical analysis of a mathematical model for capillary formation in tumor angiogenesis using a meshfree method based on the radial basis function
- Numerical solution of the nonlinear Klein-Gordon equation
- B-spline collocation algorithm for numerical solution of the generalized Burger's-Huxley equation
- Quasi Interpolation of radial basis functions-pseudospectral method for solving nonlinear Klein–Gordon and sine-Gordon equations
- Solitary wave solutions of the generalised Burgers-Huxley equation
- Multivariate Interpolation and Conditionally Positive Definite Functions. II
- VARIATIONAL PRINCIPLE AND APPROXIMATE SOLUTION FOR THE GENERALIZED BURGERS–HUXLEY EQUATION WITH FRACTAL DERIVATIVE
- On the numerical solution of the generalized Burgers-Huxley equation by Lie-Trotter splitting method
- The numerical solution of Fredholm-Hammerstein integral equations by combining the collocation method and radial basis functions
- Thin plate spline Galerkin scheme for numerically solving nonlinear weakly singular Fredholm integral equations
- Convergence of Unsymmetric Kernel‐Based Meshless Collocation Methods
- Scattered Data Approximation
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Numerical study of nonlinear generalized Burgers-Huxley equation by multiquadric quasi-interpolation and pseudospectral method