Open AccessThe Exponential Cubic B-Spline Algorithm for Korteweg-de Vries Equation
Author(s) -
Özlem Ersoy Hepson,
İdris Dağ
Publication year - 2015
Publication title -
advances in numerical analysis
Language(s) - English
Resource type - Journals
eISSN - 1687-9570
pISSN - 1687-9562
DOI - 10.1155/2015/367056
Subject(s) - korteweg–de vries equation , mathematics , exponential function , algebraic number , b spline , algebraic equation , algorithm , mathematical analysis , physics , nonlinear system , quantum mechanics
The exponential cubic B-spline algorithm is presented to find the numerical solutions of the Korteweg-de Vries (KdV) equation. The problem is reduced to a system of algebraic equations, which is solved by using a variant of Thomas algorithm. Numerical experiments are carried out to demonstrate the efficiency of the suggested algorithm
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