A SPECTRAL METHOD FOR THE SOLUTION OF KDV EQUATION VIA ORTHOGONAL RATIONAL BASIS FUNCTIONS

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Alavizadeh Seyed Rouhollah; Maalek Ghaini Farid (Mohammad)

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Seminar Paper

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Seminar: ANNUAL IRANIAN MATHEMATICS CONFERENCE
Year:2015 | Issue:46

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Title

A SPECTRAL METHOD FOR THE SOLUTION OF KDV EQUATION VIA ORTHOGONAL RATIONAL BASIS FUNCTIONS

Author(s)

Alavizadeh Seyed Rouhollah | Maalek Ghaini Farid (Mohammad) | Issue Writer Certificate

Keywords

PARTIAL DIFFERENTIAL EQUATIONS

KDV EQUATION

SPECTRAL METHODS

CHEBYSHEV POLYNOMIALS

ORTHOGONAL RATIONAL CHEBYSHEV FUNCTIONS

Abstract

IN THIS PAPER, A SET OF ORTHOGONAL RATIONAL CHEBYSHEV FUNCTIONS IN L2 (0, + ¥) IS GENERATED BY THE ORTHOGONAL CHEBYSHEV POLYNOMIALS. MOREOVER A NEW COMPUTATIONAL METHOD BASED ON THESE NEW BASIS FUNCTIONS IS PROPOSED FOR SOLVING KDV EQUATIONS ON THE SEMI-INFINITE INTERVAL WITH INITIAL-BOUNDARY CONDITIONS. IN THIS WAY, A WEAK FORMULATION FOR THE ABOVE MENTIONED PROBLEMS IS OBTAINED, AND ALSO A GALERKIN METHOD USING THESE BASIS FUNCTIONS IS APPLIED. SOME NUMERICAL EXAMPLES ARE INCLUDED FOR DEMONSTRATING THE EFFICIENCY OF THE METHOD.

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APA: Copy

Alavizadeh, Seyed Rouhollah, & Maalek Ghaini, Farid (Mohammad). (2015). A SPECTRAL METHOD FOR THE SOLUTION OF KDV EQUATION VIA ORTHOGONAL RATIONAL BASIS FUNCTIONS. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/921521/en

Vancouver: Copy

Alavizadeh Seyed Rouhollah, Maalek Ghaini Farid (Mohammad). A SPECTRAL METHOD FOR THE SOLUTION OF KDV EQUATION VIA ORTHOGONAL RATIONAL BASIS FUNCTIONS. 2015. Available from: https://sid.ir/paper/921521/en

IEEE: Copy

Seyed Rouhollah Alavizadeh, and Farid (Mohammad) Maalek Ghaini, “A SPECTRAL METHOD FOR THE SOLUTION OF KDV EQUATION VIA ORTHOGONAL RATIONAL BASIS FUNCTIONS,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2015, [Online]. Available: https://sid.ir/paper/921521/en

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