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Article detail · 2006

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

Journal

International Journal of Contemporary Mathematical Sciences

ISSN 1314-7544

YÖKSİS OpenAlex Open access · hybrid Citations 6 Percentile 29.7% FWCI 0.0
Year
2006
Type
article

Data source split

  • YÖKSİS YÖKSİS article record
  • YÖKSİS venue International Journal of Contemporary Mathematical Sciences
  • OpenAlex OpenAlex enrichment (abstract, citations, topics)

Abstract

OpenAlex · English

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.

Topics

Citations

OpenAlex cited_by_count. Not a WoS or Scopus citation count; those sources have no separate column here.

6 citations

OpenAlex cited_by_count (cache / database)

1 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).

  1. Single soliton and double soliton solutions of the quadratic-nonlinear Korteweg-de Vries equation for small and long-times 2021 Citations 23 · OpenAlex

Authors

  1. ALİ ÖZDEŞ
  2. EMİNE NESLİGÜL AKSAN İNÖNÜ ÜNİVERSİTESİ