NUMERICAL SOLUTION OF NONLINEAR SINE-GORDON EQUATION WITH LOCAL RBF-BASED FINITE DIFFERENCE COLLOCATION METHOD

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AZARI YAQUB; GARMANJANI GHOLAMREZA; RABIEI HAMED

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Seminar Paper

Paper Information

Seminar: ANNUAL IRANIAN MATHEMATICS CONFERENCE
Year:2013 | Issue:44

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Title

NUMERICAL SOLUTION OF NONLINEAR SINE-GORDON EQUATION WITH LOCAL RBF-BASED FINITE DIFFERENCE COLLOCATION METHOD

Author(s)

AZARI YAQUB | GARMANJANI GHOLAMREZA | RABIEI HAMED | Issue Writer Certificate

Keywords

SINE-GORDON EQUATION

LOCAL RBF-BASED FINITE DIFFERENCE (LRBF-FD)

GLOBAL RBF COLLOCATION

Abstract

THIS PAPER PRESENTS THE LOCAL RADIAL BASIS FUNCTION BASED ON FINITE DIFFERENCE (LRBF-FD) FOR THE SINE-GORDON EQUATION. SOME ADVANTAGES OF THE PROPOSED METHOD ARE THAT THIS METHOD IS MESH FREE UNLIKE FINITE DIFFERENCE (FD) AND FINITE ELEMENT (FE) METHODS, AND ITS COEFFICIENT MATRIX IS SPARSE AND WELL-CONDITIONED AS COMPARED WITH THE GLOBAL RBF COLLOCATION METHOD (GRBF).NUMERICAL RESULTS SHOW THAT THE LRBF-FD METHOD HAS GOOD AC-CURACY AS COMPARED WITH GRBF.

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APA: Copy

AZARI, YAQUB, GARMANJANI, GHOLAMREZA, & RABIEI, HAMED. (2013). NUMERICAL SOLUTION OF NONLINEAR SINE-GORDON EQUATION WITH LOCAL RBF-BASED FINITE DIFFERENCE COLLOCATION METHOD. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/923073/en

Vancouver: Copy

AZARI YAQUB, GARMANJANI GHOLAMREZA, RABIEI HAMED. NUMERICAL SOLUTION OF NONLINEAR SINE-GORDON EQUATION WITH LOCAL RBF-BASED FINITE DIFFERENCE COLLOCATION METHOD. 2013. Available from: https://sid.ir/paper/923073/en

IEEE: Copy

YAQUB AZARI, GHOLAMREZA GARMANJANI, and HAMED RABIEI, “NUMERICAL SOLUTION OF NONLINEAR SINE-GORDON EQUATION WITH LOCAL RBF-BASED FINITE DIFFERENCE COLLOCATION METHOD,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2013, [Online]. Available: https://sid.ir/paper/923073/en

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