Solutions of initial and boundary value problems for inhomogeneous burgers equations with time-variable coefficients
by
Bozacı, Aylin, author.
Title
:
Solutions of initial and boundary value problems for inhomogeneous burgers equations with time-variable coefficients
Author
:
Bozacı, Aylin, author.
Personal Author
:
Bozacı, Aylin, author.
Physical Description
:
vii, 91 leaves:+ 1 computer laser optical disc.
Abstract
:
In this thesis, we have investigated initial-boundary value problems on semiinfinite line for inhomogeneous Burgers equation with time-variable coecients. We have formulated the solutions for the cases with Dirichlet and Neumann boundary conditions. We showed that the Dirichlet problem for the variable parametric Burgers equation is solvable in terms of a linear ordinary dierential equation and a linear second kind singular Volterra integral equation. Then, for particular models with special initial and Dirichlet boundary conditions we found a class of exact solutions. Next, we considered the Neumann problem and showed that it reduces to a second order linear ordinary dierential equation and the standard heat equation with initial and nonlinear boundary conditions. Finally, we formulated the Cauchy problem for the variable parametric Burgers equation on the non-characteristic line, and obtained its solution in terms of a linear ODE and the series solution of the corresponding Cauchy problem for the heat equation. We gave examples to illustrate how some well known solutions of the Burgers equation can be recovered by solving a corresponding Cauchy problem.
Subject Term
:
Burgers equation.
Boundary value problems.
Initial value problems.
Added Author
:
Atılgan Büyükaşık, Şirin
Added Corporate Author
:
İzmir Institute of Technology. Mathematics.
Added Uniform Title
:
Thesis (Master)--İzmir Institute of Technology:Mathematics.
İzmir Institute of Technology:Mathematics--Thesis (Master).
Electronic Access
:
Library | Material Type | Item Barcode | Shelf Number | Status |
---|
IYTE Library | Thesis | T001483 | QA377 .B79 2016 | Tez Koleksiyonu |
IYTE Library | Supplementary CD-ROM | ROM2599 | QA377 .B79 2016 EK.1 | Tez Koleksiyonu |