The exponential cubic B-spline algorithm for Korteweg-de Vries equation

DOI10.1155/2015/367056zbMath1323.65011OpenAlexW1999104662WikidataQ59103141 ScholiaQ59103141MaRDI QIDQ888273

Ozlem Ersoy, Idris Daǧ

Publication date: 30 October 2015

Published in: Advances in Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/367056

Mathematics Subject Classification ID

Numerical computation using splines (65D07) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (11)

Exponential B-splines for numerical solutions to some Boussinesq systems for water waves ⋮ New exact solutions and numerical approximations of the generalized KdV equation ⋮ Unnamed Item ⋮ Single soliton and double soliton solutions of the quadratic‐nonlinear Korteweg‐de Vries equation for small and long‐times ⋮ The exponential cubic B-spline algorithm for Fisher equation ⋮ Exponential twice continuously differentiable B-spline algorithm for Burgers' equation ⋮ Modification of quintic B-spline differential quadrature method to nonlinear Korteweg-de Vries equation and numerical experiments ⋮ THEORETICAL AND NUMERICAL STUDIES OF TWO POINT BOUNDARY VALUE PROBLEMS USING TRIGONOMETRIC AND EXPONENTIAL CUBIC B-SPLINES ⋮ NUMERICAL TREATMENT OF FIRST ORDER MATRIX DIFFERENTIAL EQUATIONS USING DIFFERENT CUBIC B-SPLINE FUNCTIONS ⋮ An Unconditionally Stable Numerical Method for Two-Dimensional Hyperbolic Equations ⋮ On the numerical solution of the Klein-Gordon equation by exponential cubic B-spline collocation method

Cites Work

• Unnamed Item
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• Numerical solution of Korteweg-de Vries equation by Galerkin B-spline finite element method
• A numerical method for solving KdV equation with multilevel B-spline quasi-interpolation
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• Convergence of Galerkin Approximations for the Korteweg-de Vries Equation
• Collocation solution of the Korteweg–de Vries equation using septic splines

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