Method of lines and pseudospectral solutions of the forced korteweg-de vries equation with variable coefficients arises in elastic tube

In this paper, we solved the forced Korteweg-de vries (FKdV) with variable coef- ficient arises in nonlinear wave propagation in an elastic tube with a symmetrical stenosis filled with an inviscid fluid by two numerical methods, namely method of lines and pseudospectral method. We then compared both...

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Detalles Bibliográficos
Autores principales: Tay, Kim Gaik, Tiong, Wei King, Choy, Yaan Yee, Ong, Chee Tiong
Formato: Artículo
Lenguaje:English
Publicado: Academic Publications, Ltd 2017
Materias:
Acceso en línea:http://eprints.uthm.edu.my/3693/1/AJ%202017%20%28517%29.pdf
Descripción
Sumario:In this paper, we solved the forced Korteweg-de vries (FKdV) with variable coef- ficient arises in nonlinear wave propagation in an elastic tube with a symmetrical stenosis filled with an inviscid fluid by two numerical methods, namely method of lines and pseudospectral method. We then compared both numerical solutions with its progressive wave solution. Both methods solve FKdV equation with maximum absolute errors of 10−4.