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

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  • Mohammad Mehdi Rashidi
  • Mohammad Keimanesh

Abstract

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.

Suggested Citation

  • Mohammad Mehdi Rashidi & Mohammad Keimanesh, 2010. "Using Differential Transform Method and Padé Approximant for Solving MHD Flow in a Laminar Liquid Film from a Horizontal Stretching Surface," Mathematical Problems in Engineering, Hindawi, vol. 2010, pages 1-14, April.
    • Handle: RePEc:hin:jnlmpe:491319
    DOI: 10.1155/2010/491319
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    Cited by:

    1. Ali, Javaid & Raza, Ali & Ahmed, Nauman & Ahmadian, Ali & Rafiq, Muhammad & Ferrara, Massimiliano, 2021. "Evolutionary optimized Padé approximation scheme for analysis of covid-19 model with crowding effect," Operations Research Perspectives, Elsevier, vol. 8(C).

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