نتایج جستجو برای: system of integral equations
تعداد نتایج: 21368231 فیلتر نتایج به سال:
the effect of the presence of perforations on he stresses of a plate is a problem which is of great interest in structural design and in the mathemattical theory of elasticity. among the many hole patterns that are likely to require consideration is the ring of equally spaced circular holes. the present worke investigates stress & strain analysis of a thin isotropic circular plate containing a ...
in this paper, we apply the local fractional laplace transform method (or yang-laplace transform) on volterra integro-differential equations of the second kind within the local fractional integral operators to obtain the analytical approximate solutions. the iteration procedure is based on local fractional derivative operators. this approach provides us with a convenient way to find a solution ...
in this paper, scattering of a plane and monochromatic electromagnetic wave from a nano-wire is simulated using surface integral equations. first, integral equationsgoverning unknown fields on the surface is obtained based on stratton-cho surface integral equations. then, the interaction of the wave with a non-plasmonic as well as a palsmonic nano-wire is considered. it is shown that in scatter...
this paper describes an approximating solution, based on lagrange interpolation and spline functions, to treat functional integral equations of fredholm type and volterra type. this method can be extended to functional di erential and integro-di erential equations. for showing eciency of the method we give some numerical examples.
among the low–dimensional allotropes of carbon, nanotubes and graphene have attracted very much attention from nano–science and nanotechnology specialists. they have been proposed as building blocks in nanometer device engineering. however, these structures are not defect–free. in this thesis, we focused on defective carbon nanotubes and graphene, and studied the effect of couple of very common...
In this paper, to solve a linear one-dimensional Volterra integral equation of the second kind. For this purpose using the equation form, we have defined a linear transformation and by using it's conjugate and reproducing kernel functions, we obtain a basis for the functions space.Then we obtain the solution of integral equation in terms of the basis functions. The examples presented in this ...
in this article,we present a wavelet method for solving stochastic volterra integral equations based on haar wavelets. first, we approximate all functions involved in the problem by haar wavelets then, by substituting the obtained approximations in the problem, using the it^{o} integral formula and collocation points then, the main problem changes into a system of linear or nonlinear equation w...
Boundary integral equations (BIE) are reformulations of boundary value problems for partial differential equations. There is a plethora of research on numerical methods for all types of these equations such as solving by discretization which includes numerical integration. In this paper, the Neumann problem is reformulated to a BIE, and then moving least squares as a meshless method is describe...
in this paper, an approach based on statistical spline model (ssm) and collocation method is proposed to solve volterra-fredholm integral equations. the set of collocation nodes is chosen so that the points yield minimal error in the nodal polynomials. under some standard assumptions, we establish the convergence property of this approach. numerical results on some problems are given...
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