Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Title

Radial Basis Functions Generated Finite-Difference Method for the Korteweg-de Vries Equation

Event Name/Location

American Mathematical Society (AMS) Sectional Meeting at Ohio State University

Event Name

American Mathematical Society (AMS) Sectional Meeting

Event Location

Ohio State University

Document Type

Conference Presentation

Publication Date

2018

Date Range

March 16-18, 2018

Abstract

The Korteweg-de Vries equation (KDV) is a third order non-linear Partial Differential Equation(PDE) which solutions are traveling waves called solitons. A numerical method namely radial basis functions generated finite-difference (RBF-FD) integrating factor method was applied and the numerical solutions of the KDV equations were compared with the analytical solutions for 1, 2 and 3 solitons . Hyperviscosity was used for stability of the RBF-FD method in the case of irregular nodes.

ORCID ID

0000-0001-7817-4308

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