摘要

In this note it is illustrated that the Exponential Time Differencing (ETD) schemeneeds the least steps to achieve a given accuracy, offers a speedy method incalculation time, and has exceptional stability properties in solving a stiff typeproblem. Nonetheless, the celebrated and well established method like Runge-Kutta is still being applied as the basis of many efficient codes. However, the stifftype problems seem cannot be solved efficiently via some of these methods. Thisnote overcomes such stiff type problem via the exponential method. Furthermore,the exponential time differencing Runge-Kutta 4 method (ETDRK4) is used tosolve the diagonal example of a well known nonlinear partial differential equation(PDE) in the form of Burgers* equation. In addition, we use Fourier transformationfor solving Burgers* equation.

  • 出版日期2013

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