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Title

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

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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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