Tension spline technique for the solution of fourth-order parabolic partial differential equation

Talat Sultana1* and Pooja Khandelwal2

doi:10.26637/MJM0603/0009

Tension spline technique for the solution of fourth-order parabolic partial differential equation

Authors :

Talat Sultana^1* and Pooja Khandelwal²

Author Address :

^1,2Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee-247667, India.

*Corresponding author.

Abstract :

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.

Keywords :

Cubic tension spline; Parabolic partial differential equation; Stability analysis; Vibrating beam; Finite difference discretization.

DOI :

10.26637/MJM0603/0009

Article Info :

Received : March 15, 2018; Accepted : June 09, 2018.