Talat Sultana1* and Pooja Khandelwal2
Author Address :
1,2Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee-247667, India.
In this paper, we propose a spline approach for the numerical solution of fourth order parabolic partial differential equation that governs the behavior of a vibrating beam. We have used nonpolynomial cubic tension spline in space and finite difference discretization in time. Class of methods and Stability analysis have been carried out. Finally, some numerical examples are presented to illustrate the efficiency and accuracy of the proposed method.
Cubic tension spline; Parabolic partial differential equation; Stability analysis; Vibrating beam; Finite difference discretization.
Article Info :
Received : March 15, 2018; Accepted : June 09, 2018.