OICC Press Mathematical Sciences 2251-7456 17 4 (December 2023) 2022 03 11 Numerical study of nonlinear generalized Burgers–Huxley equation by multiquadric quasi-interpolation and pseudospectral method 10.1007/s40096-022-00461-5 EN Mahbubeh Rahimi Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, IR Hojatollah Adibi Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, IR Majid Amirfakhrian Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, IR Department of Computer Science, University of Calgary, Calgary, CA Journal Article 2022 03 11 Abstract This paper develops an efficient numerical meshless method to solve the nonlinear generalized Burgers–Huxley equation (NGB-HE). The proposed method approximates the unknown solution in the two stages. First, the θ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\theta$$\end{document} -weighted finite difference technique is adopted to discretize the temporal dimension. Second, a combination of the multiquadric quasi-interpolation and pseudospectral (denoted by MQQI-PS) is constructed to approximate the spatial derivatives. In addition, a cross-validation technique is used to find the shape parameter value. Finally, numerical results are illustrated to show the accuracy and efficiency of the MQQI-PS method.