In this paper, an improvement to the mid-point method is contributed for finding square root of a matrix as well its inverse. To aim, iteration scheme find function constructed, and error stability estimates are provided show theoretical rate convergence. Our higher-order can compete with existing iterative methods similar nature. This illustrated in numerical simulations various sizes.

the computational method based on using the operational matrix of anorthogonal function for solving variational problems is computeroriented. in this approach, a truncated hartley series together withthe operational matrix of integration and integration of the crossproduct of two cas vectors are used for finding the solution ofvariational problems. two illustrative examples are included todemon...

the principal effects of mass degradation on polymer matrix composites (pmcs) are the decay of mechanical properties such as strength, elongation, and resilience. this degradation is a common problem of the pmcs under thermal cycling conditions. in this article, composite degradation was investigated by measurement of total mass loss (tml) using the taguchi approach. thermal cycling tests were ...

in this work, we report synthesis and characterization of copper nanoparticles in polymer matrix by wet-chemical reduction method using ascorbic acid as reducing agent, copper (ii) sulfate as metal precursor and polyvinylpyrrolidone k-30 (pvp k-30) as surfactant agent. the reaction was carried out in a high-speed stirring mixture at room temperature under nitrogen atmosphere. characterization o...

we present here, a haar wavelet method for a class of third order partial dierentialequations (pdes) arising in impulsive motion of a flat plate. we also, present adomaindecomposition method to find the analytic solution of such equations. efficiency andaccuracy have been illustrated by solving numerical examples.

we describe how to obtain electronic transport properties of disordered graphene, including the tight binding model and nearest neighbor hopping. we present a new method for computing, electronic transport wave function and greens function of the disordered graphene. in this method, based on the small rectangular approximation, break up the potential barriers in to small parts. then using the f...

in this paper, a new numerical method for solving time-fractional diffusion equations is introduced. for this purpose, finite difference scheme for discretization in time and chebyshev collocation method is applied. also, to simplify application of the method, the matrix form of the suggested method is obtained. illustrative examples show that the proposed method is very efficient and accurate.