in this paper, one of the numerical solution method of one- particle, one dimensional timeindependentschrodinger equation are presented that allows one to obtain accurate bound state eigenvalues and functions for an arbitrary potential energy function v(x).for each case, we draw eigen functions versus the related reduced variable for the correspondingenergies. the paper ended with a comparison ...

The content of the article is based on classical provisions mechanics (the Dalembert principle) for non-ideal communication. analytical proof given that linear acceleration car with its equally accelerated movement along descent part sorting slide depends force under influence which rolls down slope slide, strength resistances all kinds, reduced mass load, taking into account moment inertia rot...

in this paper, the numerical solution methods of one- particale, one – dimensional time- independentschrodinger equation are presented that allows one to obtain accurate bound state eigen values andeigen functions for an arbitrary potential energy function v(x). these methods included the fem(finite element method), cooly, numerov and others. here we considered the numerov method inmore details...

some preliminaries about the integrable families of riccati equations and solutions structure of these equations in several cases are presented in this paper, then by using of definitions for fractional derivative we apply the new extended of tanh method to the perturbed nonlinear fractional schrodinger equation with the kerr law nonlinearity. finally by using of this method and solutions of ri...

block-flexure is the most common mode of toppling failure in natural and excavated rock slopes. in such failure, some rock blocks break due to tensile stresses and some overturn under their own weights and then all of them topple together. in this paper, first, a brief review of previous studies on toppling failures is presented. then, the physical and mechanical properties of experimental mode...

the analytical theory of one dimensional, dispersion free miscible displacement of oil by injection gas with nc component has shown that: the mmp is the lowest pressure at which any one of the initial oil, injection gas or crossover key tie lines becomes critical, which means that its length approaches to zero. in this paper, we propose a method for a solving multi component system based on ana...

a reproducing kernel hilbert space restricts the space of functions to smooth functions and has structure for function approximation and some aspects in learning theory. in this paper, the solution of an integral equation of the third kind is constructed analytically using a new method. the analytical solution is represented in the form of series in the reproducing kernel space. some numerical ...

in this paper two different methods are presented to approximate the solution of the fractional black-scholes equation for valuation of barrier option. also, the two schemes need less computational work in comparison with the traditional methods. in this work, we propose a new generalization of the two-dimensional differential transform method and decomposition method that will extend the appli...