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 ...

this paper concerns with the modeling and construction of a fifth order method for two dimensional acoustic wave equation in heterogenous media. the method is based on a standard discretization of the problem on smooth regions and a nonstandard method for nonsmooth regions.the construction of the nonstandard method is based on the special treatment of the interface using suitable jump condition...

In this paper, we investigated the Pauli equation in a two-dimensional noncommutative phase-space by considering constant magnetic field perpendicular to plane. We mapped problem equivalent commutative one through set of Bopp-shift transformation. The energy spectrum and wave function are found, where question has been Landau problem. Further, within classical limit, have derived semi-classical...