[Turkmath:2118] Gebze Teknik Üniversitesi Matematik Bölümü Genel Seminerleri

[Işıl Öner]

Sayin Liste Uyeleri,

Gebze Teknik Üniversitesi (GTU) Matematik Bölümü Genel Seminerleri kapsamında,
24 Mart  Cuma günü saat 14:00'da Gülçin M. Muslu (İstanbul Teknik Üniversitesi) bir seminer  verecektir. Seminerin detayları aşağıda olup tüm ilgilenenler davetlidir.

Dear all,

There will be a seminar in Gebze Technical University (GTU) on 24th of
March  by Gülçin M. Muslu (Istanbul Technical University).

Time  and  place:  At 14:00 in Department of Mathematics, Building I, Seminar room.

Title:  Numerical Solution for a General Class of Nonlocal Nonlinear Wave Equation
Abstract: In this talk, we consider a general class of nonlocal nonlinear wave equa-
tion arising in one-dimensional nonlocal elasticity. The model involves a
convolution operator with a general kernel function whose Fourier transform
is nonnegative. We propose a Fourier collocation numerical method for the
nonlocal nonlinear wave equation. We rst test our scheme for some ex-
amples of nonlocal nonlinear wave equation, such as generalized improved
Boussinesq equation and the higher-order Boussinesq equation which arise
from the suitable choices of the kernel function. We prove the convergence of
the semi-discrete schemes in an appropriate energy spaces. We consider three
test problems concerning the propagation of a single solitary wave, the inter-
action of two solitary waves and a solution that blows-up in nite time. We
then extend our convergence proofs to the nonlocal nonlinear wave equation
including more general kernels. To understand the structural properties of
the solutions of nonlocal nonlinear wave equation, we present some numerical
results illustrating the e ects of the kernel function on the solutions.
This is a joint work with H. Borluk and G. Topkarci.
This work has been supported by the Scienti c and Technological Research
Council of Turkey (TUBITAK) under the project MFAG-113F114.

Saygılarımızla.
Düzenleme Komitesi Adına
Dr. Isil Oner




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