A comparative study of the Daubechies wavelet based new Galerkin and Haar wavelet collocation methods for the numerical solution of differential equations

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Volume 12, Issue 1

S. C. Shiralashetti , M. H. Kantli and A. B. Deshi

J. Info. Comput. Sci. , 12 (2017), pp. 052-063.

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Abstract

In this paper, we have made an attempt to comparative study of the existing Haar wavelet collocation method with proposed new wavelet-Galerkin method for the solution of differential equations. The solutions obtained using proposed scheme are comparably good and give higher accuracy than existing ones with exact solution by increasing the level of resolution.To yield the solutions of differential equations using usal wavelet-Galerkin require use of connection coefficients, which takes large computational complexities and time consumption. The proposed scheme is rather simple and avoids the above complexities, which is demonstrated through the some of the test problems.

Keywords

Haar wavelet collocation method wavelet-Galerkin method differential equations resolution level.

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@Article{JICS-12-052, author = {S. C. Shiralashetti , M. H. Kantli and A. B. Deshi}, title = {A comparative study of the Daubechies wavelet based new Galerkin and Haar wavelet collocation methods for the numerical solution of differential equations}, journal = {Journal of Information and Computing Science}, year = {2017}, volume = {12}, number = {1}, pages = {052--063}, abstract = { In this paper, we have made an attempt to comparative study of the existing Haar wavelet collocation method with proposed new wavelet-Galerkin method for the solution of differential equations. The solutions obtained using proposed scheme are comparably good and give higher accuracy than existing ones with exact solution by increasing the level of resolution.To yield the solutions of differential equations using usal wavelet-Galerkin require use of connection coefficients, which takes large computational complexities and time consumption. The proposed scheme is rather simple and avoids the above complexities, which is demonstrated through the some of the test problems. }, issn = {3080-180X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22498.html} }

TY - JOUR T1 - A comparative study of the Daubechies wavelet based new Galerkin and Haar wavelet collocation methods for the numerical solution of differential equations AU - S. C. Shiralashetti , M. H. Kantli and A. B. Deshi JO - Journal of Information and Computing Science VL - 1 SP - 052 EP - 063 PY - 2017 DA - 2017/03 SN - 12 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22498.html KW - Haar wavelet collocation method KW - wavelet-Galerkin method KW - differential equations KW - resolution level. AB - In this paper, we have made an attempt to comparative study of the existing Haar wavelet collocation method with proposed new wavelet-Galerkin method for the solution of differential equations. The solutions obtained using proposed scheme are comparably good and give higher accuracy than existing ones with exact solution by increasing the level of resolution.To yield the solutions of differential equations using usal wavelet-Galerkin require use of connection coefficients, which takes large computational complexities and time consumption. The proposed scheme is rather simple and avoids the above complexities, which is demonstrated through the some of the test problems.

S. C. Shiralashetti , M. H. Kantli and A. B. Deshi. (2017). A comparative study of the Daubechies wavelet based new Galerkin and Haar wavelet collocation methods for the numerical solution of differential equations. Journal of Information and Computing Science. 12 (1). 052-063. doi:

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