Wavelet Based Full Approximation Scheme for the Numerical Solution of Burgers’ equation arising in Fluid Dynamics using Biorthogonal wavelet

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Volume 14, Issue 2

S. C. Shiralashetti , L. M. Angadi and A.B. Deshi

J. Info. Comput. Sci. , 14 (2019), pp. 149-155.

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Abstract

Wavelet based methods are the new development in the area of applied mathematics. Wavelets are mathematical tools that cut functions or operators into different frequency components, and then study each component with a resolution matching to its scale. In this paper, we proposed Biorthogonal wavelet based full-approximation scheme for the numerical solution of Burgers’ equation arising in fluid dynamics using biorthogonal wavelet filter coefficients as prolongation and restriction operators. The proposed method gives higher accuracy in terms of better convergence with low computational time, which has been demonstrated through the illustrative problem.

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@Article{JICS-14-149, author = {S. C. Shiralashetti , L. M. Angadi and A.B. Deshi}, title = {Wavelet Based Full Approximation Scheme for the Numerical Solution of Burgers’ equation arising in Fluid Dynamics using Biorthogonal wavelet}, journal = {Journal of Information and Computing Science}, year = {2019}, volume = {14}, number = {2}, pages = {149--155}, abstract = { Wavelet based methods are the new development in the area of applied mathematics. Wavelets are mathematical tools that cut functions or operators into different frequency components, and then study each component with a resolution matching to its scale. In this paper, we proposed Biorthogonal wavelet based full-approximation scheme for the numerical solution of Burgers’ equation arising in fluid dynamics using biorthogonal wavelet filter coefficients as prolongation and restriction operators. The proposed method gives higher accuracy in terms of better convergence with low computational time, which has been demonstrated through the illustrative problem. }, issn = {3080-180X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22424.html} }

TY - JOUR T1 - Wavelet Based Full Approximation Scheme for the Numerical Solution of Burgers’ equation arising in Fluid Dynamics using Biorthogonal wavelet AU - S. C. Shiralashetti , L. M. Angadi and A.B. Deshi JO - Journal of Information and Computing Science VL - 2 SP - 149 EP - 155 PY - 2019 DA - 2019/06 SN - 14 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22424.html KW - AB - Wavelet based methods are the new development in the area of applied mathematics. Wavelets are mathematical tools that cut functions or operators into different frequency components, and then study each component with a resolution matching to its scale. In this paper, we proposed Biorthogonal wavelet based full-approximation scheme for the numerical solution of Burgers’ equation arising in fluid dynamics using biorthogonal wavelet filter coefficients as prolongation and restriction operators. The proposed method gives higher accuracy in terms of better convergence with low computational time, which has been demonstrated through the illustrative problem.

S. C. Shiralashetti , L. M. Angadi and A.B. Deshi. (2019). Wavelet Based Full Approximation Scheme for the Numerical Solution of Burgers’ equation arising in Fluid Dynamics using Biorthogonal wavelet. Journal of Information and Computing Science. 14 (2). 149-155. doi:

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