An Alternative Scheme for Approximating A Periodic Function

Maheshwari, Amit Kumar

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An Alternative Scheme for Approximating A Periodic Function

International Journal of Soft Computing, Mathematics and Control (IJSCMC), Vol.2, No.1, February 2013

11 Pages Posted: 12 May 2020

See all articles by Amit Kumar Maheshwari

Amit Kumar Maheshwari

Advanced Materials and Processes Research Institute (CSIR)

Date Written: February 27, 2013

Abstract

Fourier series is generally used in applied mathematics and non-linear mechanics to solve the problems containing periodic functions. The aim of this paper is to present a new scheme through involving the Taylor’s series after some process modification for all such problems. It will save the long evaluation process involve in computing the different constants of Fourier series. The result obtained by the present method has been compared with the result from the Fourier series expansion w.r.t. the exact solution and found to be more satisfactory.

Keywords: Fourier series, Taylor series, Periodic function, Rest Bounded Variation, Convergence

Suggested Citation: Suggested Citation

Maheshwari, Amit Kumar, An Alternative Scheme for Approximating A Periodic Function (February 27, 2013). International Journal of Soft Computing, Mathematics and Control (IJSCMC), Vol.2, No.1, February 2013, Available at SSRN: https://ssrn.com/abstract=3578322