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

Talat Sultana; Pooja Khandelwal

doi:10.26637/MJM0603/0009

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

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

Talat Sultana Department of Mathematics, Lakshmibai College, University of Delhi, New Delhi-52, India.
Pooja Khandelwal Department of Mathematics, M. L. V. Textile and Engineering College, Bhilwara, Rajasthan-311001, India.

Pages: 514-520
Date Published: 01-07-2018
Vol. 6 No. 03 (2018): Malaya Journal of Matematik (MJM)

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