Open AccessNUMERICAL EXPERIMENTS FOR NONLINEAR BURGER’S PROBLEM
Author(s) -
Jawad Kadhim Tahir
Publication year - 2021
Publication title -
journal of mechanics of continua and mathematical sciences
Language(s) - English
Resource type - Journals
eISSN - 2454-7190
pISSN - 0973-8975
DOI - 10.26782/jmcms.2021.11.00002
Subject(s) - mathematics , linearization , homogeneous , transformation (genetics) , nonlinear system , basis (linear algebra) , exact solutions in general relativity , mathematical analysis , geometry , physics , combinatorics , gene , biochemistry , quantum mechanics , chemistry
The article contains the results of computational experiments for the non-homogeneous Burger’s problem and finding its solution by using the non-classical variational-Cole-Hopf transformation approach. On using exact linearization via Cole-Hopf transformation, as well as the application of the non-classical variational approach, then the non-homogeneous Burger’s problem has been solved. The solution which is obtained by this approach is in a compact form so that the original nonlinear solution is easy to be approximated. The accuracy of this method is dependent on the types of selected basis and its number.
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