In this article, an efficient method for approximating the solution of the generalized Burgers-Huxley (gB-H) equation using a multiquadric quasi-interpolation approach is considered. This method consists of two phases. First, the spatial derivatives are evaluated by MQ quasi-interpolation, So the gB-H equation is reduced to a nonlinear system of ordinary differential equations. In phase two, the obtained system is solved by using ODE solvers. Numerical examples demonstrate the validity and applicability of the method.
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Askari, M., & Adibi, H. (2022). Numerical investigation of the generalized Burgers-Huxley equation using combination of multiquadric quasi-interpolation and method of lines. Computational Methods for Differential Equations, 10(3), 686-700. doi: 10.22034/cmde.2021.44511.1885
MLA
Maysam Askari; Hojatollah Adibi. "Numerical investigation of the generalized Burgers-Huxley equation using combination of multiquadric quasi-interpolation and method of lines". Computational Methods for Differential Equations, 10, 3, 2022, 686-700. doi: 10.22034/cmde.2021.44511.1885
HARVARD
Askari, M., Adibi, H. (2022). 'Numerical investigation of the generalized Burgers-Huxley equation using combination of multiquadric quasi-interpolation and method of lines', Computational Methods for Differential Equations, 10(3), pp. 686-700. doi: 10.22034/cmde.2021.44511.1885
VANCOUVER
Askari, M., Adibi, H. Numerical investigation of the generalized Burgers-Huxley equation using combination of multiquadric quasi-interpolation and method of lines. Computational Methods for Differential Equations, 2022; 10(3): 686-700. doi: 10.22034/cmde.2021.44511.1885
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