The method of lines solution of the Korteweg-de Vries equation for small times

OpenAlex · İngilizce

In this paper, the application of the method of lines (MOL) to the KdV equation was presented. The MOL approach of the KdV equation led to a system of ordinary differential equations. Solution of the system was obtained by applying Euler's method. In order to show the accuracy of the presented method, two test problem whose exact solutions are known were used. The numerical solutions obtained were compared with not only exact solutions but also other numerical solutions obtained by using various numerical techniques. It was seen that they were in good agreement with each other.