Some results on solutions of semi-linear elliptic boundary value problems near eigenvalues

Çalışkan, Nurettin


Boundary value problems for higher order linear impulsive differential equations
Uğur, Ömür; Akhmet, Marat (2006-07-01)
In this paper higher order linear impulsive differential equations with fixed moments of impulses subject to linear boundary conditions are studied. Green's formula is defined for piecewise differentiable functions. Properties of Green's functions for higher order impulsive boundary value problems are introduced. An appropriate example of the Green's function for a boundary value problem is provided. Furthermore, eigenvalue problems and basic properties of eigensolutions are considered. (c) 2006 Elsevier In...
Numerical solutions of boundary value problems; applications in ferrohydrodynamics and magnetohydrodynamics
Şenel, Pelin; Tezer, Münevver; Department of Mathematics (2017)
In this thesis, steady, laminar, fully developed flows in pipes subjected to a point magnetic source or uniform magnetic field are simulated by the dual reciprocity boundary element method (DRBEM). The Navier-Stokes and energy equations are solved in terms of the velocity, pressure and the temperature of the fluid which are all of the original variables of the problem. The missing pressure equation is derived and pressure boundary conditions are generated by a finite difference approximation and the DRBEM c...
Application of a Robust Multigrid Technique for the Parallel Solution of Initial-Boundary Value Problems
Martynenko, S.I.; Gökalp, İskender; Bakhtin, V.A.; Karaca, Mehmet; Toktaliev, P.D.; Semenev, P.A. (2022-12-01)
This article is devoted to the construction of a parallel multigrid algorithm for the numerical solution of (non)linear initial-boundary value problems (implicit schemes) based on a robust multigrid technique (RMT). A distinctive feature of the proposed algorithm is the possibility of the parallel solution of initial-boundary value problems and initial-boundary value problems in a unified manner involving 3m independent computers (threads, if the OpenMP parallelization technology is used), m = 1, 2, 3, …. C...
Dynamics of flexible membranes with circular holes due to transverse impact
Umut, Ömür; Ergenç, Tanıl; Nuriyev, Barat; Department of Mathematics (1996)
Solution of initial and boundary value problems by the variational iteration method
Altintan, D.; Uğur, Ömür (2014-03-15)
The Variational Iteration Method (VIM) is an iterative method that obtains the approximate solution of differential equations. In this paper, it is proven that whenever the initial approximation satisfies the initial conditions, vim obtains the solution of Initial Value Problems (IVPs) with a single iteration. By using this fact, we propose a new algorithm for Boundary Value Problems (BVPs): linear and nonlinear ones. Main advantage of the present method is that it does not use Green's function, however, it...
Citation Formats
N. Çalışkan, “Some results on solutions of semi-linear elliptic boundary value problems near eigenvalues,” Ph.D. - Doctoral Program, Middle East Technical University, 1996.