In this paper, we study theoretically the natural convective boundary-layer flow of a nanofluid past a vertical plate. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis. A similarity solution is developed. The similarity transformations are applied to reduce the governing partial differential equations to a set of nonlinear coupled ordinary differen...

In this paper, the differential transformation method (DTM) was applied to solve fuzzy fractional heat equations. The elementary properties of this method were given. The approximate and exact solutions of these equations were calculated in the form of series with easily computable terms. The proposed method was also illustrated by some examples. The results revealed that DTM is a highly effect...

In this paper, a novel variant of Differential Transform Method (DTM), Shooting Type Algorithm (STDTA) is used to solve some problems in fluid mechanics with one the boundary conditions at infinity. The analytical solution obtained by using method effective sense that accuracy found more. To apply condition infinity two procedures are used. STDTA an for solving these types

the euler-lagrange equation plays an important role in the minimization problems of the calculus of variations. this paper employs the differential transformation method (dtm) for finding the solution of the euler-lagrange equation which arise from problems of calculus of variations. dtm provides an analytical solution in the form of an infinite power series with easily computable components. s...

Corresponding Author: E.R. El-Zahar Department of Mathematics, Sciences and Humanities College, Salman Bin Abdulaziz University, Alkharj, 11942, KSA Email: [email protected] Abstract: In this study, a comparison among three semi-analytical numerical integration algorithms for solving stiff ODE systems is presented. The algorithms are based on Differential Transform Method (DTM) which ar...

The Euler-Lagrange equation plays an important role in the minimization problems of the calculus of variations. This paper employs the differential transformation method (DTM) for finding the solution of the Euler-Lagrange equation which arise from problems of calculus of variations. DTM provides an analytical solution in the form of an infinite power series with easily computable components. S...

This current work is devoted to develop qualitative theory of existence solution some families fractional order differential equations (FODEs). For this purposes we utilize fixed point due Banach and Schauder. Further using transform method (DTM), also compute analytical or semi-analytical results the proposed problems. Also by proper examples demonstrate results.

reduced differential transform method (rdtm) is applied to various wave equations. to assessthe accuracy of the solutions, we compare the results with the exact solutions and variational iteration method.the results reveal that the rdtm is very effective, convenient and quite accurate to systems of nonlinearequations.

The main purpose of this work is to provide a new approximation method, the so-called parameterised differential transform method (PDTM), for solving high-order boundary value problems (HOBVPs). Our based on classical and differs from it by calculating coefficients solution, which has form series. We applied proposed fourth-order substantiate it. resulting solution graphically compared with exa...

Differential-algebraic equations (DAEs) are important tools to model complex problems in various application fields easily. Those DAEs with an index-3, even the linear ones, known cause when solving them numerically. The present article proposes a new algorithm together its multistage form efficiently solve class of nonlinear implicit Hessenberg index-3 DAEs. This is based on idea applying diff...