scholarly journals The modified differential transform method for solving MHD boundary-layer equations

2009 ◽  
Vol 180 (11) ◽  
pp. 2210-2217 ◽  
Author(s):  
M.M. Rashidi
Keyword(s):  
Boundary Layer ◽  
Differential Transform Method ◽  
Transform Method ◽  
Boundary Layer Equations ◽  
Mhd Boundary Layer ◽  
Differential Transform

scholarly journals Using Differential Transform Method and Padé Approximant for Solving MHD Flow in a Laminar Liquid Film from a Horizontal Stretching Surface

2010 ◽  
Vol 2010 ◽  
pp. 1-14 ◽  
Author(s):  
Mohammad Mehdi Rashidi ◽  
Mohammad Keimanesh
Keyword(s):  
Liquid Film ◽  
Mhd Flow ◽  
Padé Approximant ◽  
Differential Transform Method ◽  
Stretching Surface ◽  
Transform Method ◽  
Boundary Layer Equations ◽  
Pade Approximant ◽  
Differential Transform ◽  
Padé Method

The purpose of this study is to approximate the stream function and temperature distribution of the MHD flow in a laminar liquid film from a horizontal stretching surface. In this paper DTM-Padé method was used which is a combination of differential transform method (DTM) and Padé approximant. The DTM solutions are only valid for small values of independent variables. Comparison between the solutions obtained by the DTM and the DTM-Padé with numerical solution (fourth-order Runge–Kutta) revealed that the DTM-Padé method is an excellent method for solving MHD boundary-layer equations.

scholarly journals Solution of the Boundary Layer Equation of the Power-Law Pseudoplastic Fluid Using Differential Transform Method

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Sobhan Mosayebidorcheh
Keyword(s):  
Boundary Layer ◽  
Good Accuracy ◽  
Boundary Layer Equation ◽  
Differential Transform Method ◽  
Algebraic Equations ◽  
Numerical Techniques ◽  
Initial Value ◽  
Pseudoplastic Fluid ◽  
Transform Method ◽  
Differential Transform

The boundary layer equation of the pseudoplastic fluid over a flat plate is considered. This equation is a boundary value problem (BVP) with the high nonlinearity and a boundary condition at infinity. To solve such problems, powerful numerical techniques are usually used. Here, through using differential transform method (DTM), the BVP is replaced by two initial value problems (IVP) and then multi-step differential transform method (MDTM) is applied to solve them. The differential equation and its boundary conditions are transformed to a set of algebraic equations, and the Taylor series of solution is calculated in every sub domain. In this solution, there is no need for restrictive assumptions or linearization. Finally, DTM results are compared with the numerical solution of the problem, and a good accuracy of the proposed method is observed.

Numerical Comparison of Methods for Solving Boundary Layer Problems in Hydrodynamics

2013 ◽  
Vol 284-287 ◽  
pp. 508-512
Author(s):  
Shih Hsiang Chang
Keyword(s):  
Boundary Layer ◽  
Decomposition Method ◽  
Adomian Decomposition Method ◽  
Differential Transform Method ◽  
Numerical Comparison ◽  
Transform Method ◽  
Modified Adomian Decomposition Method ◽  
Adomian Decomposition ◽  
Differential Transform ◽  
Boundary Layer Problems

This paper presents a numerical comparison between the differential transform method and the modified Adomian decomposition method for solving the boundary layer problems arising in hydrodynamics. The results show that the differential transform method and modified Adomian decomposition method are easier and more reliable to use in solving this type of problem and provides accurate data as compared with those obtained by other numerical methods.

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