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.
NSUWorks Citation
Kabre, Julienne and Reeger, Jonah A., "Radial Basis Functions Generated Finite-Difference Method for the Korteweg-de Vries Equation" (2018). Mathematics Faculty Proceedings, Presentations, Speeches, Lectures. 432.
https://nsuworks.nova.edu/cnso_math_facpres/432
ORCID ID
0000-0001-7817-4308
COinS