Abstract This paper is devoted to prove the existence of positive solutions a second order differential equation with nonhomogeneous Dirichlet conditions given by parameter dependence integral. The studied problem nonlocal perturbation considering homogeneous Dirichlet-type condition at one extreme interval and an integral operator on other one. We obtain expression Green’s function related lin...

This paper presents a three dimensional application of direct Boundary-Element Method (BEM) for computing interaction of sinusoidal waves with a large submerged open bottom structure near the floor with finite depth. The wave diffraction problem is formulated within the framework of linearized potential theory and solved numerically with direct BEM. A computer program based on BEM is developed ...

In this paper, we consider some initial-boundary value problems which contain one-dimensional heat equation in non-classical case. For this problem, we can not use the classical methods such as Fourier, Laplace transformation and Fourier-Birkhoff methods. Because the eigenvalues of their spectral problems are not strictly and they are repeated or we have no eigenvalue. The presentation of the s...

where α and β are nonnegative constants. Boundary value problems of ordinary differential equations arise in kinds of different areas of applied mathematics and physics. Many authors have studied two-point, threepoint, multi-point boundary value problems for second-order differential equations extensively, see [–] and the references therein. In recent years, boundary value problems with integ...

finite and boundary element methods have been used by many authors to solve mathematicalphysics problems. however, the coupling of these two methods happens to be more efficient as it combinestheir merits. in this paper, the mathematical analysis of the coupling of finite and boundary element methodsfor the helmholtz equation is presented.