A meshless finite-point approximation for solving the RLW equation

L. Pérez Pozo; R. Meneses; C. Spa; O. Durán

doi:10.1155/2012/802414

A meshless finite-point approximation for solving the RLW equation

L. Pérez Pozo, R. Meneses, C. Spa, O. Durán

SCHOOL OF MECHANICAL ENGINEERING

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

An alternative meshless finite-point method (FPM) technique for the numerical solution of the Regularized long wave (RLW) equation is presented. In this context, we derive the discretized system by combining finite difference (FD) techniques for the time derivative and FPM for the spatial derivatives. The accuracy of this alternative approach is tested with L 2, L ∞ error norms and the conservation properties of mass, energy, and momentum under the RLW equation.

Original language	English
Article number	802414
Journal	Mathematical Problems in Engineering
Volume	2012
DOIs	https://doi.org/10.1155/2012/802414
State	Published - 2012

Access to Document

10.1155/2012/802414

Cite this

@article{19bb7947bded453b970f7b93fb633170,

title = "A meshless finite-point approximation for solving the RLW equation",

abstract = "An alternative meshless finite-point method (FPM) technique for the numerical solution of the Regularized long wave (RLW) equation is presented. In this context, we derive the discretized system by combining finite difference (FD) techniques for the time derivative and FPM for the spatial derivatives. The accuracy of this alternative approach is tested with L 2, L ∞ error norms and the conservation properties of mass, energy, and momentum under the RLW equation.",

author = "{P{\'e}rez Pozo}, L. and R. Meneses and C. Spa and O. Dur{\'a}n",

year = "2012",

doi = "10.1155/2012/802414",

language = "English",

volume = "2012",

journal = "Mathematical Problems in Engineering",

issn = "1024-123X",

publisher = "Hindawi Publishing Corporation",

}

TY - JOUR

T1 - A meshless finite-point approximation for solving the RLW equation

AU - Pérez Pozo, L.

AU - Meneses, R.

AU - Spa, C.

AU - Durán, O.

PY - 2012

Y1 - 2012

N2 - An alternative meshless finite-point method (FPM) technique for the numerical solution of the Regularized long wave (RLW) equation is presented. In this context, we derive the discretized system by combining finite difference (FD) techniques for the time derivative and FPM for the spatial derivatives. The accuracy of this alternative approach is tested with L 2, L ∞ error norms and the conservation properties of mass, energy, and momentum under the RLW equation.

AB - An alternative meshless finite-point method (FPM) technique for the numerical solution of the Regularized long wave (RLW) equation is presented. In this context, we derive the discretized system by combining finite difference (FD) techniques for the time derivative and FPM for the spatial derivatives. The accuracy of this alternative approach is tested with L 2, L ∞ error norms and the conservation properties of mass, energy, and momentum under the RLW equation.

UR - http://www.scopus.com/inward/record.url?scp=84867971566&partnerID=8YFLogxK

U2 - 10.1155/2012/802414

DO - 10.1155/2012/802414

M3 - Article

AN - SCOPUS:84867971566

SN - 1024-123X

VL - 2012

JO - Mathematical Problems in Engineering

JF - Mathematical Problems in Engineering

M1 - 802414

ER -

A meshless finite-point approximation for solving the RLW equation

Abstract

Access to Document

Other files and links

Fingerprint

Cite this