Exponential finite-difference method applied to Korteweg–de Vries equation for small times
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摘要
The Korteweg–de Vries equation is numerically solved by using the exponential finite-difference technique. The accuracy of computed solutions is examined by comparison with other numerical and analytical solutions using two examples. The close results agreement between the current results and the exact solutions confirms that the proposed finite-difference procedure is an effective technique for the solution of the Korteweg–de Vries equation at the small times.
论文关键词:Korteweg–de Vries equation,Exponential finite-differences
论文评审过程:Available online 15 January 2004.
论文官网地址:https://doi.org/10.1016/j.amc.2003.11.025