FINITE ELEMENT METHOD ON A MOVING MESH FOR A PARTIAL INTEGRO-DIFFERENTIAL EQUATION

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GHOLAMI MOGHADAM ASHRAF

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Seminar Paper

Paper Information

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

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Title

FINITE ELEMENT METHOD ON A MOVING MESH FOR A PARTIAL INTEGRO-DIFFERENTIAL EQUATION

Author(s)

GHOLAMI MOGHADAM ASHRAF | Issue Writer Certificate

Keywords

PARTIAL INTEGRO-DIFFERENTIAL EQUATION

FINITE ELEMENT METHOD

MOVING MESH METHOD

NUMERICAL TREATMENTS

Abstract

WE PRESENT A NUMERICAL SOLUTION FOR A PARTIAL INTEGRO-DIFFERENTIAL EQUATION USING FINITE ELEMENT METHOD ON A MOVING MESH.FOR DISCRETIZATION OF THE PROBLEM ON THE MOVING MESH, WE CONSTRUCT A COMPUTATIONAL TECHNIQUE BASED ON FINITE ELEMENT SCHEME AND NUMERICAL QUADRATURE FOR PIECEWISE APPROXIMATION WHICH IS ADAPTIVE WITH MOVING MESH. THE FINITE ELEMENT DISCRETIZATION AND THE BACK-WARD EULER TECHNIQUE IS APPLIED FOR THE SPACE BASED ON VARIATIONAL FORM AND THE TIME, RESPECTIVELY. A NUMERICAL EXPERIMENT IS ALSO REPORTED TO DEMONSTRATE THE EFFICIENCY OF THE METHOD.

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APA: Copy

GHOLAMI MOGHADAM, ASHRAF. (2013). FINITE ELEMENT METHOD ON A MOVING MESH FOR A PARTIAL INTEGRO-DIFFERENTIAL EQUATION. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/923138/en

Vancouver: Copy

GHOLAMI MOGHADAM ASHRAF. FINITE ELEMENT METHOD ON A MOVING MESH FOR A PARTIAL INTEGRO-DIFFERENTIAL EQUATION. 2013. Available from: https://sid.ir/paper/923138/en

IEEE: Copy

ASHRAF GHOLAMI MOGHADAM, “FINITE ELEMENT METHOD ON A MOVING MESH FOR A PARTIAL INTEGRO-DIFFERENTIAL EQUATION,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2013, [Online]. Available: https://sid.ir/paper/923138/en

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