期刊
ADVANCES IN MECHANICAL ENGINEERING
卷 12, 期 11, 页码 -出版社
SAGE PUBLICATIONS LTD
DOI: 10.1177/1687814020971061
关键词
Nonlinear physics mechanisms; Burgers-Huxley equation; numerical solution; cubic B-spline quasi-interpolation
资金
- National Natural Science Foundation of China [11801490, 11671068]
Nonlinear partial differential equations are widely studied in Applied Mathematics and Physics. The generalized Burgers-Huxley equations play important roles in different nonlinear physics mechanisms. In this paper, we develop a kind of cubic B-spline quasi-interpolation which is used to solve Burgers-Huxley equations. Firstly, the cubic B-spline quasi-interpolation is presented. Next we get the numerical scheme by using the derivative of the quasi-interpolation to approximate the spatial derivative of the dependent variable and modified Euler scheme to approximate the time derivative of the dependent variable. Moreover, the efficiency of the proposed method is illustrated by the agreement between the numerical solution and the analytical solution which indicate the numerical scheme is quite acceptable.
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