The quintic spline for solving the Korteweg-de Vries equation

DOI10.1016/0378-4754(94)00101-4zbMath0816.65115OpenAlexW2050839203MaRDI QIDQ1343164

B. El-Naggar, Labib Iskandar, H. El Zoheiry

Publication date: 1 February 1995

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4754(94)00101-4

zbMATH Keywords

numerical examplesspline approximationfinite-differenceKorteweg-de Vries equationimplicit time discretization

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Applications to the sciences (65Z05) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (5)

Separation method for solving the generalized Korteweg-de Vries equation ⋮ The quintic spline for solving the Korteweg-de Vries equation ⋮ Artificial perturbation for solving the Korteweg-de Vries equation ⋮ A reduced high-order compact finite difference scheme based on proper orthogonal decomposition technique for KdV equation ⋮ On the Fourth-Order Accurate Compact ADI Scheme for Solving the Unsteady Nonlinear Coupled Burgers' Equations

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