Numerical study of nonlinear generalized Burgers-Huxley equation by multiquadric quasi-interpolation and pseudospectral method

被引：1

作者：

Rahimi, Mahbubeh ^{[1
]}

Adibi, Hojatollah ^{[1
]}

Amirfakhrian, Majid ^{[1
,2
]}

机构：

[1] Islamic Azad Univ, Dept Math, Cent Tehran Branch, Tehran, Iran

[2] Univ Calgary, Dept Comp Sci, Calgary, AB, Canada

来源：

MATHEMATICAL SCIENCES | 2023年 / 17卷 / 04期

关键词：

Nonlinear generalized Burgers-Huxley equation; Multiquadric quasi-interpolation method; Pseudospectral method; theta-Method; INTEGRAL-EQUATIONS; ALGORITHM; APPROXIMATION;

D O I：

10.1007/s40096-022-00461-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 0-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.

引用

页码：431 / 444

页数：14

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Hojatollah Adibi
Majid Amirfakhrian
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