Recent Trends on Boundary Value Problems and Related Topics

Exact solutions of two nonlinear partial differential equations by using the first integral method

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. ...

Authors: Hossein Jafari, Rahmat Soltani, Chaudry Masood Khalique and Dumitru Baleanu

A boundary integral equation with the generalized Neumann kernel for a mixed boundary value problem in unbounded multiply connected regions

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 ...

Authors: Samer AA Al-Hatemi, Ali HM Murid and Mohamed MS Nasser

Existence of symmetric positive solutions for a multipoint boundary value problem with sign-changing nonlinearity on time scales

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...

Authors: Fatma Tokmak and Ilkay Yaslan Karaca

On the solutions and conservation laws of the $(1+1)$-dimensional higher-order Broer-Kaup system

Authors: Chaudry Masood Khalique

Stagnation-point flow over a permeable stretching/shrinking sheet in a copper-water nanofluid

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...

Authors: Norfifah Bachok, Anuar Ishak, Roslinda Nazar and Norazak Senu

Well-posedness of fractional parabolic equations

In the present paper, we consider the abstract Cauchy problem for the fractional differential equation

Authors: Allaberen Ashyralyev

Dual solutions in MHD flow on a nonlinear porous shrinking sheet in a viscous fluid

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...

Authors: Fadzilah Md Ali, Roslinda Nazar, Norihan Md Arifin and Ioan Pop

On the numerical solution of hyperbolic IBVP with high-order stable finite difference schemes

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...

Authors: Allaberen Ashyralyev and Ozgur Yildirim

MHD boundary layer flow due to a moving wedge in a parallel stream with the induced magnetic field

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 ...

Authors: Khamisah Jafar, Roslinda Nazar, Anuar Ishak and Ioan Pop

A new kind of double Chebyshev polynomial approximation on unbounded domains

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...

Authors: Ayşe Betül Koç and Aydın Kurnaz

Numerical investigation of stagnation point flow over a stretching sheet with convective boundary conditions

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...

Authors: Muhammad Khairul Anuar Mohamed, Mohd Zuki Salleh, Roslinda Nazar and Anuar Ishak

Optimal control problem for stationary quasi-optic equations

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...

Authors: Yusuf Koçak and Ercan Çelik

Conservation laws for a generalized Ito-type coupled KdV system

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...

Authors: Edward Tshepo Mogorosi, Ben Muatjetjeja and Chaudry Masood Khalique

Exact solutions of Benjamin-Bona-Mahony-Burgers-type nonlinear pseudo-parabolic equations

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

Authors: Ömer Faruk Gözükızıl and Şamil Akçağıl

Application of fractional calculus in the dynamics of beams

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...

Authors: D Dönmez Demir, N Bildik and BG Sinir

The sinc-Galerkin method and its applications on singular Dirichlet-type boundary value problems

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...

Authors: Aydin Secer and Muhammet Kurulay

An efficient computer application of the sinc-Galerkin approximation for nonlinear boundary value problems

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...

Authors: Aydin Secer, Muhammet Kurulay, Mustafa Bayram and Mehmet Ali Akinlar

A computational method using multiresolution for volumetric data integration

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...

Authors: Mehmet Ali Akinlar, Muhammet Kurulay, Aydin Secer and Mehmet Celenk