A small time solutions for the KdV equation using Bubnov-Galerkin finite element method

A Bubnov-Galerkin finite element method with quintic B-spline functions taken as element shape and weight functions is presented for the solution of the KdV equation. To demonstrate the accuracy, efficiency and reliability of the method three experiments are undertaken for both the evolution of a si...

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Bibliographic Details
Main Authors: N.K. Amein, M.A. Ramadan
Format: Article
Language:English
Published: SpringerOpen 2011-10-01
Series:Journal of the Egyptian Mathematical Society
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1110256X11000216