A novel method for solving KdV equation based on reproducing kernel Hilbert space method
type: Item
instance of: scholarly article
title: A novel method for solving KdV equation based on reproducing kernel Hilbert space method
zbMATH Open document ID: 1266.65178
DOI: 10.1155/2013/578942
author: Mustafa Inc
author: Ali Akgül
author: Adem Kilicman
published in: Abstract and Applied Analysis
publication date: 2013-05-08T00:00:00Z
review text: Summary: We propose a reproducing kernel method for solving the Korteweg-de Vries (KdV) equation with initial condition based on the reproducing kernel theory. The exact solution is represented in the form of series in the reproducing kernel Hilbert space. Some numerical examples are also studied to demonstrate the accuracy of the present method. Results of numerical examples show that the presented method is effective.
Mathematics Subject Classification ID: 65M99
Mathematics Subject Classification ID: 46E22
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35C10
zbMATH DE Number: 6161353
zbMATH Keywords: reproducing kernel Hilbert space method
zbMATH Keywords: Korteweg-de Vries (KdV) equation
zbMATH Keywords: numerical examples
zbMATH Keywords: series
Wikidata QID: Q58917174
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/578942
OpenAlex ID: W2094771605
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description: scientific article; zbMATH DE number 6161353