An exponential time differencing method of lines for the Burgers and the modified Burgers equations

被引：7
作者：
Bratsos, Athanassios G. [1 ]
Khaliq, Abdul Q. M. [2 ,3 ]
机构：
[1] Technol Educ Inst TEI Athens, Dept Naval Architecture Engn, Athens 12210, Greece
[2] Middle Tennessee State Univ, Dept Math Sci, Murfreesboro, TN 37132 USA
[3] Middle Tennessee State Univ, Ctr Computat Sci, Murfreesboro, TN 37132 USA
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2018年 / 34卷 / 06期
关键词：
Burgers equation; exponential time differencing scheme; finite-difference method; method of lines; modified Burgers equation; modified predictor-corrector method; reaction-diffusion equation; NUMERICAL-SOLUTION; COLLOCATION METHOD; B-SPLINES; SCHEMES; PDES;
D O I：
10.1002/num.22273
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A second-order exponential time differencing scheme using the method of lines is developed in this article for the numerical solution of the Burgers and the modified Burgers equations. For each case, the resulting nonlinear system is solved explicitly using a modified predictor-corrector method. The efficiency of the method introduced is tested by comparing experimental results with others selected from the available literature.
引用
收藏
页码：2024 / 2039
页数：16
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