This thematic series hosts select papers presented in ICAAA2012-Istanbul. This issue is focused on recent trends and new ideas in the area on boundary value problems and related topics.
Edited by: Allaberen Ashyralyev and Mustafa Bayram
Research
In recent years, many approaches have been utilized for finding the exact solutions of nonlinear partial differential equations. One such method is known as the first integral method and was proposed by Feng. ...
Boundary Value Problems 2013 2013:117
Published on: 7 May 2013
Research
In this paper we propose a new method for solving the mixed boundary value problem for the Laplace equation in unbounded multiply connected regions. All simple closed curves making up the boundary are divided ...
Boundary Value Problems 2013 2013:54
Published on: 14 March 2013
Research
In this paper, we make use of the four functionals fixed point theorem to verify the existence of at least one symmetric positive solution of a second-order m-point boundary value problem on time scales such that...
Boundary Value Problems 2013 2013:52
Published on: 14 March 2013
Research
Boundary Value Problems 2013 2013:41
Published on: 28 February 2013
Research
An analysis is carried out to study the heat transfer characteristics of steady two-dimensional stagnation-point flow of a copper (Cu)-water nanofluid over a permeable stretching/shrinking sheet. The stretchin...
Boundary Value Problems 2013 2013:39
Published on: 26 February 2013
Research
In the present paper, we consider the abstract Cauchy problem for the fractional differential equation
Boundary Value Problems 2013 2013:31
Published on: 18 February 2013
Research
In this paper, the problem of magnetohydrodynamic (MHD) flow of a viscous fluid on a nonlinear porous shrinking sheet is studied. The boundary layer partial differential equations are first transformed into an...
Boundary Value Problems 2013 2013:32
Published on: 18 February 2013
Research
The abstract Cauchy problem for the hyperbolic equation in a Hilbert space H with self-adjoint positive definite operator A is considered. The third and fourth orders of accuracy difference schemes for the approx...
Boundary Value Problems 2013 2013:29
Published on: 15 February 2013
Research
The present analysis considers the steady magnetohydrodynamic (MHD) laminar boundary layer flow of an incompressible electrically conducting fluid caused by a continuous moving wedge in a parallel free stream ...
Boundary Value Problems 2013 2013:20
Published on: 11 February 2013
Research
In this study, a new solution scheme for the partial differential equations with variable coefficients defined on a large domain, especially including infinities, has been investigated. For this purpose, a spe...
Boundary Value Problems 2013 2013:10
Published on: 22 January 2013
Research
In this study, the mathematical modeling for stagnation point flow over a stretching surface with convective boundary conditions is considered. The transformed boundary layer equations are solved numerically u...
Boundary Value Problems 2013 2013:4
Published on: 16 January 2013
Research
In this paper, an optimal control problem was taken up for a stationary equation of quasi optic. For the stationary equation of quasi optic, at first judgment relating to the existence and uniqueness of a boun...
Boundary Value Problems 2012 2012:151
Published on: 28 December 2012
Research
In this paper, the conservation laws for a generalized Ito-type coupled Korteweg-de Vries (KdV) system are constructed by increasing the order of the partial differential equations. The generalized Ito-type co...
Boundary Value Problems 2012 2012:150
Published on: 28 December 2012
Research
In this paper, we consider some nonlinear pseudo-parabolic Benjamin-Bona-Mahony-Burgers (BBMB) equations. These equations are of a class of nonlinear pseudo-parabolic or Sobolev-type equations
Boundary Value Problems 2012 2012:144
Published on: 10 December 2012
Research
This paper deals with a viscoelastic beam obeying a fractional differentiation constitutive law. The governing equation is derived from the viscoelastic material model. The equation of motion is solved by usin...
Boundary Value Problems 2012 2012:135
Published on: 15 November 2012
Research
The application of the sinc-Galerkin method to an approximate solution of second-order singular Dirichlet-type boundary value problems were discussed in this study. The method is based on approximating functio...
Boundary Value Problems 2012 2012:126
Published on: 29 October 2012
Research
A powerful technique based on the sinc-Galerkin method is presented for obtaining numerical solutions of second-order nonlinear Dirichlet-type boundary value problems (BVPs). The method is based on approximati...
Boundary Value Problems 2012 2012:117
Published on: 24 October 2012
Research
In this paper, we present a new method for integration of 3-D medical data by utilizing the advantages of 3-D multiresolution analysis and techniques of variational calculus. We first express the data integrat...
Boundary Value Problems 2012 2012:115
Published on: 17 October 2012
