A multiscale derivation of a new parabolic equation which includes density variations

A Quasilinear Parabolic Equation With Inhomogeneous Density and Absorption

a quasilinear parabolic equation with inhomogeneous density and absorption

Multiscale Approach to Parabolic Equations Derivation: Beyond the Linear Theory

The concept of the iterative parabolic approximation based on the multiscale technique is discussed. This approach is compared with the traditional ways to derive the wide-angle parabolic equation. While the latter fail in the nonlinear case, the multiscale derivation technique leading to iterative parabolic equations can be easily adapted to handle it. The nonlinear iterative parabolic approxi...

A New Skew-normal Density

We present a new skew-normal distribution, denoted by NSN($lambada$). We first derive the density and moment generating function of NSN($lambada$). The properties of SN($lambada$), the known skew-normal distribution of Azzalini, and NSN($lambada$) are compared with each other. Finally, a numerical example for testing about the parameter $lambada$ in NSN($lambada$) is given. ...

A New Vapor Pressure Equation

The Wagner equation for prediction of vapor pressure has been modified in order to improve it accuracy. On the basis of this modifications, development of a new equation for prediction of vapor pressure is outlined. Examples of the use of the equation for obtaining vapor pressure for a total of 94 pure substance are given. The proposed equation combines simplicity and accuracy and performs as w...