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

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

References

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