حول حم صيغتين من معادلات بيركر ذات الرتب الكسرية == On the Solution of Two Forms of Fractional Burger's Equations
Author name:
ورود رياض عبد الحسين خضير
Supervisor name:
سعد ناجي علي العزاوي
General topic:
Mathematics
Specific topic:
Mathematics
Degree:
Master
University:
University of Baghdad - College Of Science For Girls
Language:
English
University location:
Baghdad
First pages:
27T1013 - p.pdf
Abstract:
The main purpose of this thesis is to study the two forms of fractional Burger's equations to find the traveling wave solution. In the first form the fractional power series is used to find the solution and applying the statistical concepts for the solution such as the expected value, variance, covariance and correlation coefficient to ensure the reliability of the method.For the second form we succeeded to find the exact solution by applying four steps; in the first step, we reduce the second form of the fractional Burger's equation to second order nonlinear ordinary differential equation, in the second step after integrating this nonlinear ordinary differential equation to get first order ordinary differential equation, in the third step the first order is reduced to the Bernoulli equation and finally the exact solution of the second form of the fractional Burger's equation is evaluated.The Sumudu transform method is used to find the approximate solution for these two forms A comparison tables are submitted for their solutions.Finally, Curve 3D program is used for drawing the figures and these graphs agree with nature. Also Mathcad and excel are used for
