Wavelets for the Fast Solution of Ordinary Differential Equations
Pankaj Varshney1, Kapil Kumar Bansal2, Jyotshana Gaur3
1Pankaj Varshney, SRM University, NCR Campus, Ghaziabad, India.
2Dr. Kapil Kumar Bansal, SRM University, NCR Campus, Ghaziabad, India.
3Jyotshana Gaur, SRM University, NCR Campus, Ghaziabad, India
Manuscript received on September 01, 2012. | Revised Manuscript received on September 02, 2012. | Manuscript published on September 05, 2012. | PP: 287-291 | Volume-2 Issue-4, September 2012. | Retrieval Number: D0943082412/2012©BEIESP
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© The Authors. Published By: Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: In this paper, wavelets have shown to be a powerful tool and a potential substitute for the Fourier transform in many problems. It is natural to use them for the solution of differential equations. In this chapter, we show how to use wavelets in the numerical solution of boundary value ordinary differential equations. Rather than using algebraic wavelets, we adapt the wavelets to the specific operator at hand. We want their construction to be easy to implement and computationally inexpensive in order to build a general solver
Keywords: FFT, Wavelet, Boundary Value