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...

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...

We develop a full numerical as well as an approximate analytic solution for two-step holographic recording with high intensity pulses in LiNbO3 :Fe crystals. We find the unknown material parameters by fitting the numerical solution to the experimental results. The two important parameters that were unknown so far and found in this work are the bulk photovoltaic coefficient and absorption cross ...

A derivation and approximate solution of renormalized mode coupling equations describing the turbulent drift wave spectrum is presented. Arguments are given which indicate that a weak turbulence formulation of the spectrum equations fails for a system with negative dissipation. The inadequacy of the weak turbulence theory is circumvented by utilizing a renormalized formulation. An analytic mome...

Abstract An explicit approximate solution is obtained for the extended Blasius equation subject to its well-known classical boundary conditions, where viscosity coefficient assumed be positive and temperature-dependent, which arises in several important layer problems fluid dynamics. This problem extends a previous by Cortell (Appl Math Comput 170:706–710, 2005) when constant, numerical was obt...