Daubechies wavelet based full approximation scheme for solving Burgers'equation arising in Fluid Dynamics

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Volume 12, Issue 3

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

J. Info. Comput. Sci. , 12 (2017), pp. 183-194.

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Abstract

This paper presents, Daubechies wavelet based full approximation scheme (DWFAS) for the numerical solution of Burgers’ equation, which is nonlinear partial differential equation (PDE) arising in fluid dynamics using Daubechies wavelet intergrid operartors. The numerical solutions obtained are compared with existing numerical methods and exact solution. Some of the test problems are presented to demonstrate that DWFAS has fast convergence in low computational time and is very effective, convenient and quite accurate to systems of PDEs.

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@Article{JICS-12-183, author = {S. C. Shiralashetti , L. M. Angadi and A. B. Deshi}, title = {Daubechies wavelet based full approximation scheme for solving Burgers'equation arising in Fluid Dynamics}, journal = {Journal of Information and Computing Science}, year = {2017}, volume = {12}, number = {3}, pages = {183--194}, abstract = { This paper presents, Daubechies wavelet based full approximation scheme (DWFAS) for the numerical solution of Burgers’ equation, which is nonlinear partial differential equation (PDE) arising in fluid dynamics using Daubechies wavelet intergrid operartors. The numerical solutions obtained are compared with existing numerical methods and exact solution. Some of the test problems are presented to demonstrate that DWFAS has fast convergence in low computational time and is very effective, convenient and quite accurate to systems of PDEs. }, issn = {3080-180X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22476.html} }

TY - JOUR T1 - Daubechies wavelet based full approximation scheme for solving Burgers'equation arising in Fluid Dynamics AU - S. C. Shiralashetti , L. M. Angadi and A. B. Deshi JO - Journal of Information and Computing Science VL - 3 SP - 183 EP - 194 PY - 2017 DA - 2017/09 SN - 12 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22476.html KW - AB - This paper presents, Daubechies wavelet based full approximation scheme (DWFAS) for the numerical solution of Burgers’ equation, which is nonlinear partial differential equation (PDE) arising in fluid dynamics using Daubechies wavelet intergrid operartors. The numerical solutions obtained are compared with existing numerical methods and exact solution. Some of the test problems are presented to demonstrate that DWFAS has fast convergence in low computational time and is very effective, convenient and quite accurate to systems of PDEs.

S. C. Shiralashetti , L. M. Angadi and A. B. Deshi. (2017). Daubechies wavelet based full approximation scheme for solving Burgers'equation arising in Fluid Dynamics. Journal of Information and Computing Science. 12 (3). 183-194. doi:

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