Convergence analysis and numerical solutions of the fisher's and benjamin-bono-mahony equations by operator splitting method
Title:
Convergence analysis and numerical solutions of the fisher's and benjamin-bono-mahony equations by operator splitting method
Author:
Zürnacı, Fatma, author.
Personal Author:
Physical Description:
ix, 87 leaves:+ 1 computer laser optical disc.
Abstract:
This thesis is concerned with the operator splitting method for the Fisher’s and Benjamin-Bono-Mahony type equations. We showthat the correct convergence rates inHs(R) space for Lie- Trotter and Strang splitting method which are obtained for these equations. In the proofs, the new framework originally introduced in (Holden, Lubich, and Risebro, 2013) is used. Numerical quadratures and Peano Kernel theorem, which is followed by the differentiation in Banach space are discussed In addition, we discuss the Sobolev space Hs(R) and give several properties of this space. With the help of these subjects, we derive error bounds for the first and second order splitting methods. Finally, we numerically check the convergence rates for the time step t.
Subject Term:
Added Author:
Added Corporate Author:
Added Uniform Title:
Thesis (Master)--İzmir Institute of Technology: Mathematics.
İzmir Institute of Technology: Mathematics--Thesis (Master).
Electronic Access:
Access to Electronic Versiyon.