Numerical Solution of Korteweg-de Vries Equation by the Fourier Pseudospectral Method
Rashid, Abdur
Bull. Belg. Math. Soc. Simon Stevin, Tome 13 (2007) no. 5, p. 709-721 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
In this paper, we present a numerical solution of one-dimensional Korteweg-de Vries equation with variant boundary conditions by the Fourier pseudospectral method. Four test problem with known exact solutions were studied to demonstrate the accuracy of the present method. An artificial viscosity was proposed to improve the accuracy of the numerical scheme. The obtained results were compared with the exact solution of each problem and found to be in good agreement with each other.
Publié le : 2007-11-14
Classification:  Korteweg-de Vries equation,  Fourier pseudospectral method,  artificial viscosity,  76M22,  35Q35,  65M70 
@article{1195157139,
     author = {Rashid, Abdur},
     title = {Numerical Solution of Korteweg-de Vries Equation by the Fourier Pseudospectral
Method},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {13},
     number = {5},
     year = {2007},
     pages = { 709-721},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1195157139}
}

Rashid, Abdur. Numerical Solution of Korteweg-de Vries Equation by the Fourier Pseudospectral
Method. Bull. Belg. Math. Soc. Simon Stevin, Tome 13 (2007) no. 5, pp.  709-721. http://gdmltest.u-ga.fr/item/1195157139/