Premium
An exponential time differencing method of lines for the Burgers and the modified Burgers equations
Author(s) -
Bratsos Athanassios G.,
Khaliq Abdul Q. M.
Publication year - 2018
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.22273
Subject(s) - burgers' equation , mathematics , exponential function , nonlinear system , mathematical analysis , scheme (mathematics) , partial differential equation , physics , quantum mechanics
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.