A Novel Method for Solving KdV Equation Based on Reproducing Kernel Hilbert Space Method | Zendy

Mustafa İnç | Zendy; Ali Akgül | Zendy; Adem Kılıçman | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

A Novel Method for Solving KdV Equation Based on Reproducing Kernel Hilbert Space Method

Author(s) -

Mustafa İnç,

Ali Akgül,

Adem Kılıçman

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/578942

Subject(s) - mathematics , reproducing kernel hilbert space , kernel (algebra) , korteweg–de vries equation , hilbert space , representer theorem , series (stratigraphy) , space (punctuation) , kernel method , mathematical analysis , algebra over a field , kernel embedding of distributions , pure mathematics , computer science , artificial intelligence , nonlinear system , paleontology , physics , quantum mechanics , support vector machine , biology , operating system

We propose a reproducing kernel method for solving the 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 have also been studied to demonstrate the accuracy of the present method. Results of numerical examples show that the presented method is effective

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research