Numerical solution of fourth order parabolic partial dierential equation using parametric septic splines

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Hacettepe Journal of Mathematics and Statistics
Volume:45 Issue:4
Numerical solution of fourth order parabolic partial dierential equation using parametric septic sp...

Numerical solution of fourth order parabolic partial dierential equation using parametric septic splines

Authors : Arshad KHAN, Talat SULTANA

Pages : 1067-1082

View : 44 | Download : 7

Publication Date : 2016-08-01

Article Type : Research Paper

Abstract :In this paper, we report three level implicit method of high accuracy schemes for the numerical solution of fourth order nonhomogeneous parabolic partial dierential equation, that governs the behavior of a vibrating beam. Parametric septic spline is used in space and nite dierence discretization in time. The linear stability of the presented method is investigated. The computed results for three examples are compared wherever possible with those already available in literature which shows the superiority of the proposed method.
Keywords : Finite difference scheme, Parametric septic spline, Fourth order parabolic equation, Stability analysis, Vibrating beam

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