The Exponential Cubic B-Spline Algorithm for Korteweg-de Vries Equation-Reference-Cited by-同舟云学术

The Exponential Cubic B-Spline Algorithm for Korteweg-de Vries Equation

Published:2015-02-17 Issue: Volume:2015 Page:1-8
ISSN:1687-9562
Container-title:Advances in Numerical Analysis
language:en
Short-container-title:Advances in Numerical Analysis

Author:

Ersoy Ozlem¹,Dag Idris¹

Affiliation:

1. Department of Mathematics-Computer, Faculty of Science and Art, Eskişehir Osmangazi University, 26480 Eskişehir, Turkey

Abstract

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.

Publisher

Hindawi Limited

Link

http://downloads.hindawi.com/archive/2015/367056.pdf

Reference23 articles.

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2. Theory of exponential splines

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4. A class of simple exponential B-splines and their application to numerical solution to singular perturbation problems

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