Cryptology was as significant as weapons during the World War II and the Cold War. There were lots of studies to develop robust crypto-systems and to use them in communications. These studies have continued up to now. Today some of those crypto-systems called as “classical crypto-systems” are improved and still being used. Mostly we can secure our data in three ways first one is cryptography wh...

Privacy is becoming an increasingly important issue in many data mining applications. This has triggered the development of many privacy-preserving data mining techniques. A large fraction of them use randomized data distortion techniques to mask the data for preserving the privacy of sensitive data. This methodology attempts to hide the sensitive data by randomly modifying the data values ofte...

We investigate the hard nonresonant excitation of the forced Duffing equation with a positive damping parameter E. Using the symbolic manipulation system MACSYMA, a computer algebra system. we derive the two term perturbation expansion by the method of multiple time scales. The resulting approximate solution is valid for small values of the coefficient e As the damping parameter e increases, th...

We combine the stochastic perturbation method with maximum entropy principle to construct approximations of first probability density function steady-state solution a class nonlinear oscillators subject small perturbations in term and driven by excitation. The nonlinearity depends both upon position velocity, excitation is given stationary Gaussian process certain additional properties. Further...

here, a new method called aboodh transform homotopy perturbation method(athpm) is used to solve nonlinear partial dierential equations, we presenta reliable combination of homotopy perturbation method and aboodh transformto investigate some nonlinear partial dierential equations. the nonlinearterms can be handled by the use of homotopy perturbation method. the resultsshow the eciency of this...

in this paper, elzaki homotopy perturbation method is employed for solving linear and nonlinear differential equations with a variable coffecient. this method is a combination of elzaki transform and homotopy perturbation method. the aim of using elzaki transform is to overcome the deficiencies that mainly caused by unsatised conditions in some semi-analytical methods such as homotopy perturbat...