‎‎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...

In this paper, Adomian decomposition method (ADM) and Laplace decomposition method (LDM) used to obtain series solutions of Burgers-Huxley and Burgers-Fisher Equations. In ADM the algorithm is illustrated by studying an initial value problem and LDM is based on the application of Laplace transform to nonlinear partial differential equations. In ADM only few terms of the expansion are required t...

in this paper, nonlinear klein-gordon equation with quadratic term is solved by means of an analytic technique, namely the homotopy analysis method (ham).comparisons are made between the adomian decomposition method (adm), the exact solution and homotopy analysis method. the results reveal that the proposed method is very effective and simple.

the work  addressed in this paper is a comparative study between convergence of the  acceleration techniques, diagonal pad'{e} approximants and shanks transforms, on homotopy analysis method  and adomian decomposition method for solving  differential equations of integer and fractional orders.