introduction : due to the importance of laser light penetration and propagation in biological tissues, many researchers have proposed several numerical methods such as monte carlo, finite element and green function methods. among them, the monte carlo method is an accurate method which can be applied for different tissues. however, because of its statistical nature, monte carlo simulation requi...

sandwich sheet rolling process is investigated using an analytical method (slab method) and a numerical method (finite element method). the horizontal stress distribution in the layers, the rolling pressure along the contact interface and the neutral point between the roll and the sheet are investigated. then the affects of the parameters such as the friction between the sheet and the roll, she...

in this present work, the kudryashov method and the functional variable method are used to construct exact solutions of the complex kdv equation. the kudryashov method and the functional variable method are powerful methods for obtaining exact solutions of nonlinear evolution equations.

in this paper, the deformation of a thick-walled circular cylindrical shell of incompressible isotropic elastic material is considered. the shell, which is made of three-term strain energy function is subjected to the combined external and axial loading pressure. in order to obtain the relevant eigenvalues, which is the main objective of the work, the incremental equilibrium equations are so...

nowadays, by the expansion of information technology in human life and dependence of business upon it, data protection, as one the most valuable and critical assets of the organization, has become the vital tool of modern industry and prerequisite for sustaining business process. in order to face the challenges and to take advantage of new opportunities brought forth by it advances we suggest o...

in this study, isophthalic acid-zirconium(iv) nanocomposite has been prepared from zirconyl nitrate pentahydrate and potassium iodide, with isophthalic acid, (c8h6o4=benzene-1,3-dicarboxylic acid) as a ligand, via sonochemical method in ethylene glycol and methanol as solvents. the crystalline tetragonal zro2 has been produced by thermal decomposition of isophthalic acid-zirconium(iv) nanocompo...

the composite powders of barium-magnesium ferrite were prepared using sol-gel auto-combustion and microwave methods. the crystal structure and the shape of nanocomposites have been compared. x-ray diffraction (xrd), scanning electron microscope (sem) and vibrating sample magnetometer (vsm) were used to investigate the structural, morphological and magnetic properties of nanopowder. the formatio...

in this paper, we conduct a comparative study between the homotopy perturbation method (hpm) and adomian’s decomposition method (adm) for analytic treatment of nonlinear volterra integral equations, and we show that the hpm with a specific convex homotopy is equivalent to the adm for these type of equations.

in this study, a new efficient semi-analytical method is introduced to give approximate solutions of strongly nonlinear oscillators. the proposed method is based on combination of two different methods, the multi-step homotopy analysis method and spectral method, called the multi-step spectral homotopy analysis method (msham). in this method, firstly, we propose a new spectral homotopy analysis...

the computation of structural failure probability is vital importance in the reliability analysis and may be carried out on the basis of the first-order reliability method using various mathematical iterative approaches such as hasofer-lind and rackwitz-fiessler (hl-rf). this method may not converge in complicated problems and nonlinear limit state functions, which usually shows itself in the f...