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Category: Issue 2

Study of Cubic B Spline Interpolation

NAJMUDDIN AHMAD
Department of Mathematics, Integral University, Kursi Road, Lucknow (India)
KHAN FARAH DEEBA
Department of Mathematics, Integral University, Kursi Road, Lucknow (India)

ABSTRACT:

In this study, we discuss the numerical solution of the wave equation subject to non-local conservation condition, using cubic trigonometric B-spline collocation method (CuTBSM). Consider a vibrating elastic string of length L which is located on the x-axis of the interval [0, L].
It is also clear from the examples that the approximate solution is very close to the exact solution. The technique requires smaller computational time than several other methods and the numerical results are found to be in good agreement with known solutions and with existing schemes in the literature.

KEYWORDS: Cubic trigonometric B Spline Interpolation, collocation method, non-Newtonian fluid, nonclassical diffusion equation, Subject Classification: 65D,65L,65M


In this study, we discuss the numerical solution of the wave equation subject to non-local conservation condition, using cubic trigonometric B-spline collocation method (CuTBSM). Consider a vibrating elastic string...