Dynamic Analysis of MLS Difference Method using First Order Differential Approximation

A method for solving first order fuzzy differential equation

Dynamic Analysis of the Biomechanical Model of Head Load Impact Using Differential Transform Method

The dynamic analysis of the biomechanical model of the head load impact using the Differential Transform Method is presented in this paper. In many parts of the world, the problem of traumatic brain injuries (TBI) has led to neurodegenerative dementing disorders and diseases as a result of head load impact from sporting activities, accidents involving the head, etc. have serious effects on huma...

NON-STANDARD FINITE DIFFERENCE METHOD FOR NUMERICAL SOLUTION OF SECOND ORDER LINEAR FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS

In this article we have considered a non-standard finite difference method for the solution of second order  Fredholm integro differential equation type initial value problems. The non-standard finite difference method and the composite trapezoidal quadrature method is used to transform the Fredholm integro-differential equation into a system of equations. We have also developed a numerical met...

First-Order Differential Power Analysis on the Duplication Method

Cryptographic embedded systems are vulnerable to Differential Power Analysis (DPA). In particular, the S-boxes of a block cipher are known to be the most sensitive parts with respect to this very kind of attack. While many sound countermeasures have been proposed to withstand this weakness, most of them are too costly to be adopted in real-life implementations of cryptographic algorithms. In th...

Dhage iteration method for PBVPs of nonlinear first order hybrid integro-differential equations

In this paper, author proves the algorithms for the existence as well as the approximation of solutions to a couple of periodic boundary value problems of nonlinear first order ordinary integro-differential equations using operator theoretic techniques in a partially ordered metric space. The main results rely on the Dhage iteration method embodied in the recent hybrid fixed point theorems of D...