we introduce and discuss the homotopy perturbation method, the adomian decomposition method and the variational iteration method for solving the stefan problem with kinetics. then, we give an example of the stefan problem with  kinetics and solve it by these methods.

in this work, the solution of a boundary value problem is discussed via asemi analytical method. the purpose of the present paper is to inspect theapplication of the adomian decomposition method for solving the nagumo tele-graph equation. the numerical solution is obtained for some special cases sothat demonstrate the validity of method.

‎‎in this article‎, ‎a new method is introduced to give approximate solution to van der pol equation‎. ‎the proposed method is based on the combination of two different methods‎, ‎the spectral adomian decomposition method (sadm) and piecewise method‎, ‎called the piecewise adomian decomposition method (psadm)‎. ‎the numerical results obtained from the proposed method show that this method is an...

in order to improve uv and visible lights photocatalytic activities of the pure anatase tio2, a novel and efficient n-doped tio2 photocatalyst was prepared by sol-gel method. n-doped titania is prepared using triethylamine (with difference molar ratios) as the nitrogen source. the crystalline structure, morphology, particle size, absorbance and band-gap and chemical structure of n-doped tio2 wa...

dynamically adaptive numerical methods have been developed to find solutions for differential equations. thesubject of wavelet has attracted the interest of many researchers, especially, in finding efficient solutions fordifferential equations. wavelets have the ability to show functions at different levels of resolution. in this paper, a numerical method is proposed for solving the second pain...

in the current study, synthesis and characterization of a new nano-structured zirconium(iv)-minoxidil complex (1), where minoxidil, (c9h15n5o; 6-(1-piperidinyl)-2,4-pyrimidinediamine 3-oxide), have been investigated in two different solvents. the compound 1 has been synthesized by sonochemical method in the presence of methanol and monoethylene glycol (meg) as solvents and characterized by scan...

magnetic nanoparticles attracted a great deal of attention in the medical applications due to their unique properties. the most exceptional property of magnetic particles is their response to a magnetic force, and this property has been utilized in applications such as drug targeting, bioseparation, contrast agents in magnetic resonance imaging (mri) and heating mediators for cancer therapy. in...

in this work, we conduct a comparative study among the combine laplace transform and modied adomian decomposition method (lmadm) and two traditional methods for an analytic and approximate treatment of special type of nonlinear volterra integro-differential equations of the second kind. the nonlinear part of integro-differential is approximated by adomian polynomials, and the equation is red...

a comparison of buckling analysis of the nanoplate and nanocomposite plate with central square hole embedded in winkler foundation is presented in this article. in order to enhance mechanical properties of nanoplate with central cut out, carbon nano tubes (cnts) are applied as uniform distribution (ud) through thickness direction. in order to define the shape function of plate with square cut o...