Numerical Solution of one-dimensional Burgers’ equation using finite difference method

Abebe Bulcha

dc.contributor.author	Abebe Bulcha
dc.date.accessioned	2020-12-10T07:06:43Z
dc.date.available	2020-12-10T07:06:43Z
dc.date.issued	2019-09
dc.identifier.uri	http://10.140.5.162//handle/123456789/2495
dc.description.abstract	In this thesis, a finite difference method resulting from cubic spline is presented for solving the one-dimensional Burgers’ equation. First, the nonlinear Burgers’ equation is transformed to one-dimensional heat equation via Cole-Hopf transformation. The stability of the method is well established and it is found to be unconditionally stable. The numerical solutions presented in tables confirm that the present method approximates the exact solution very well.	en_US
dc.language.iso	en	en_US
dc.subject	Burgers	en_US
dc.subject	equation	en_US
dc.subject	Cubic spline functions	en_US
dc.subject	Cole-Hopf transformation	en_US
dc.title	Numerical Solution of one-dimensional Burgers’ equation using finite difference method	en_US
dc.type	Thesis	en_US