Spatial behavior estimates for the wave equation under nonlinear boundary conditions

Date

2001-09-01

Author

Celebi, AO
Kalantarov, VK

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

178
views

0
downloads

Our aim is to establish a spatial decay and growth estimates for solutions of the initial-boundary value problem for the linear wave equation with the damping term under nonlinear boundary conditions.

Subject Keywords

Wave equation, Spatial behaviour, Phragmen-Lindelof theorem

URI

https://hdl.handle.net/11511/66130

Journal

MATHEMATICAL AND COMPUTER MODELLING

DOI

https://doi.org/10.1016/s0895-7177(01)00080-2

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

Numerical solution of nonlinear reaction-diffusion and wave equations Meral, Gülnihal; Tezer, Münevver; Department of Mathematics (2009) In this thesis, the two-dimensional initial and boundary value problems (IBVPs) and the one-dimensional Cauchy problems defined by the nonlinear reaction- diffusion and wave equations are numerically solved. The dual reciprocity boundary element method (DRBEM) is used to discretize the IBVPs defined by single and system of nonlinear reaction-diffusion equations and nonlinear wave equation, spatially. The advantage of DRBEM for the exterior regions is made use of for the latter problem. The differential quad...
Effective-mass Klein-Gordon-Yukawa problem for bound and scattering states Arda, Altug; Sever, Ramazan (2011-09-01) Bound and scattering state solutions of the effective-mass Klein-Gordon equation are obtained for the Yukawa potential with any angular momentum l. Energy eigenvalues, normalized wave functions, and scattering phase shifts are calculated as well as for the constant mass case. Bound state solutions of the Coulomb potential are also studied as a limiting case. Analytical and numerical results are compared with the ones obtained before. (C) 2011 American Institute of Physics. [doi:10.1063/1.3641246]
Analytical modeling of nonlinear evolution of long waves Aydın, Baran; Kanoğlu, Utku (2015-06-22) We present an initial-boundary value problem formulation for the solution of the nonlinear shallow-water wave (NSW) equations. We transform the nonlinear equations into a linear problem by using the Carrier-Greenspan transformation. Then, we obtain the solution through the separation of variables method rather than integral transform techniques, which is the usual practice (Carrier et al., J Fluid Mech 2003; Kanoglu, J Fluid Mech 2004). This formulation allows the use of any physically realistic initial wav...
EXACT SPIN AND PSEUDO-SPIN SYMMETRIC SOLUTIONS OF THE DIRAC-KRATZER PROBLEM WITH A TENSOR POTENTIAL VIA LAPLACE TRANSFORM APPROACH Arda, Altug; Sever, Ramazan (2012-09-28) Exact bound state solutions of the Dirac equation for the Kratzer potential in the presence of a tensor potential are studied by using the Laplace transform approach for the cases of spin- and pseudo-spin symmetry. The energy spectrum is obtained in the closed form for the relativistic as well as non-relativistic cases including the Coulomb potential. It is seen that our analytical results are in agreement with the ones given in the literature. The numerical results are also given in a table for different p...
Analytical solutions of shallow-water wave equations Aydın, Baran; Kanoğlu, Utku; Department of Engineering Sciences (2011) Analytical solutions for the linear and nonlinear shallow-water wave equations are developed for evolution and runup of tsunamis –long waves– over one- and two-dimensional bathymetries. In one-dimensional case, the nonlinear equations are solved for a plane beach using the hodograph transformation with eigenfunction expansion or integral transform methods under different initial conditions, i.e., earthquake-generated waves, wind set-down relaxation, and landslide-generated waves. In two-dimensional case, th...

Citation Formats

A. Celebi and V. Kalantarov, “Spatial behavior estimates for the wave equation under nonlinear boundary conditions,” MATHEMATICAL AND COMPUTER MODELLING, pp. 527–532, 2001, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/66130.