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 study,differential transform method (DTM) is applied to linear and nonlinear system of ordinary differential equations. If the system considered has a solution in terms of the series expansion of known functions,this powerful method catches the exact solution.So as to show this capability and robustness, some systems of ordinary differential equations are solved as numerical examples.

In this paper, a proposed computational method referred to as Projected Differential Transformation Method (PDTM) resulting from the modification of the classical Differential Transformation Method (DTM) is applied, for the first time, to the Black–Scholes Equation for European Option Valuation. The results obtained converge faster to their associated exact solution form; these easily computed ...

In this study, differential transform method (DTM) is applied to fuzzy integro-differential equation. The concept of generalized Hdifferentiability is used. If the equation has a solution in terms of the series expansion of known functions; this powerful method catches the exact solution. Some numerical examples are also given to illustrate the superiority of the method. All rights reserved.

in this paper, least square method (lsm) and differential transformation method (dtm) are used to solve the problem of laminar nanofluid flow in a semi-porous channel in the presence of transverse magnetic field. due to existence some shortcomings in each method, a novel and efficient method named ls-dtm is introduced which omitted those defects and has an excellent agreement with numerical sol...

In this work, Differential Transform Method (DTM) was employed to obtain the series solution of SIRV COVID-19 model in Nigeria. The validity DTM solving validated by Maple 21’s Classical fourth-order Runge-Kutta method. comparison between and Runge- Kutta (RK4) solutions performed there a good correlation results obtained two methods. result validates accuracy efficiency solve

Abstract: In this paper Differential Transform Method (DTM) is implemented to solve some Riccati differential equations with variable co-efficients. This technique doesn’t require any discretization, linearization or small perturbations and therefore it reduces significantly the numerical computation. The results derived by this method are compared with the numerical results by Runge Kutta 4 (R...

In this research, the Differential Transformation method (DTM) has been utilized to solve a fourth-order parabolic partial differential equations. This method can be used to obtain the exact solutions of this equation. In the end, some numerical tests are presented to demonstrate the effectiveness and efficiency of the proposed method. AMS Subject Classification: 35K25, 65M70

In this paper, the Adomian Decomposition Method (ADM) and the Differential Transform Method (DTM) are applied to solve the multi-pantograph delay equations. The sufficient conditions are given to assure the convergence of these methods. Several examples are presented to demonstrate the efficiency and reliability of the ADM and the DTM; numerical results are discussed, compared with exact soluti...

Three different profiles of the straight fin that has a temperature-dependent thermal conductivity are investigated by differential transformation method DTM and compared with numerical solution. Fin profiles are rectangular, convex, and exponential. For validation of the DTM, the heat equation is solved numerically by the fourth-order Runge-Kutta method. The temperature distribution, fin effic...