Comparison of Haar Wavelet Collocation and Finite Element Methods for Solving the Typical Ordinary Differential Equations
S. C. Shiralashetti1, P. B. Mutalik Desai2, A. B. Deshi3
1S. C. Shiralashetti, Department of Mathematics, Karnataka bniversity Dharwad, India.
2P. B. Mutalik Desai, Department of Mathematics, K. L. E. College of Engineering and Technology, Chikodi, India.
3A. B. Deshi, Department of Mathematics, Karnataka University Dharwad, India.
Manuscript received on January 01, 2015. | Revised Version Manuscript Received on January 23, 2015. | Manuscript published on January 20, 2015. | PP: 1-11 | Volume-1 Issue-3, January 2015.
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Abstract: In this paper, we developed an efficient Haar Wavelet Collocation Method (HWCM) for solving typical Ordinary Differential Equations (ODE). In particular, it is shown that the computed results of HWCM are superior to Finite Element Method (FEM) as compared with the exact solution. The present study is illustrated by exploring different kinds of Typical Ordinary Differential Equations that shows the pertinent features of the Haar wavelet collocation method.
Keywords: Finite Element Method, Haar wavelet Collocation method, singular value