Numerical investigation of the generalized Burgers-Huxley equation using combination of multiquadric quasi-interpolation and method of lines

DOI10.22034/cmde.2021.44511.1885OpenAlexW3160563333MaRDI QIDQ5884013

Maysam Askari, Hojatollah Adibi

Publication date: 19 March 2023

Full work available at URL: https://doi.org/10.22034/cmde.2021.44511.1885

zbMATH Keywords

method of linesgeneralized Burgers-Huxley equationmultiquadric quasi-interpolation

Mathematics Subject Classification ID

Linear functional-differential equations (34K06) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Cites Work

• Unnamed Item
• A numerical scheme for the generalized Burgers-Huxley equation
• A family of multivariate multiquadric quasi-interpolation operators with higher degree polynomial reproduction
• Numerical solution of one-dimensional Sine-Gordon equation using high accuracy multiquadric quasi-interpolation
• Development of Galerkin method for solving the generalized Burger's-Huxley equation
• Biorthogonal multiwavelets on the interval for numerical solutions of Burgers' equation
• Numerical solution of nonlinear Burgers' equation using high accuracy multi-quadric quasi-interpolation
• High accuracy multiquadric quasi-interpolation
• Theory and applications of the multiquadric-biharmonic method. 20 years of discovery 1968-1988
• Multi-quadric quasi-interpolation method coupled with FDM for the Degasperis-Procesi equation
• Adomian decomposition method for Burgers--Huxley and Burgers--Fisher equations
• Stability of multiquadric quasi-interpolation to approximate high order derivatives
• A kind of improved univariate multiquadric quasi-interpolation operators
• Univariate multiquadric approximation: Quasi-interpolation to scattered data
• Construction techniques for highly accurate quasi-interpolation operators
• Multivariate quasi-interpolation schemes for dimension-splitting multiquadric
• A univariate quasi-multiquadric interpolation with better smoothness
• Generalized Strang-Fix condition for scattered data quasi-interpolation
• Shape preserving properties and convergence of univariate multiquadric quasi-interpolation
• A numerical algorithm based on a new kind of tension B-spline function for solving Burgers-Huxley equation
• A multiquadric quasi-interpolation with linear reproducing and preserving monotonicity
• Approximation to the \(k\)-th derivatives by multiquadric quasi-interpolation method
• Applying multiquadric quasi-interpolation to solve Burgers' equation
• Application of variational iteration method to the generalized Burgers-Huxley equation
• Solving the generalized Burgers-Huxley equation using the Adomian decomposition method
• Solitary wave solutions of the generalised Burgers-Huxley equation
• Radial Basis Functions
• Applications of the Newton-Raphson method in a SDFEM for inviscid Burgers equation
• Mixed finite difference and Galerkin methods for solving Burgers equations using interpolating scaling functions

This page was built for publication: Numerical investigation of the generalized Burgers-Huxley equation using combination of multiquadric quasi-interpolation and method of lines