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Flux Transport Characteristics of Free Boundary Value Problems for a Class of Generalized Convection-Diffusion Equation

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  • Yunbin Xu
  • Meihua Wei

Abstract

The similarity transformation is introduced for studying free boundary value problems for a class of generalized convection-diffusion equation. A class of singular nonlinear boundary value problems are obtained and solved by using Adomian decomposition method (ADM). The approximate solution can be expressed in terms of a rapid convergent power series with easily computable terms. The efficiency and reliability of the approximate solution are verified by numerical ones. The effects of the variable thermal conduction , convection functional coefficient , power law exponent , and parameter on the flux transport characteristics are presented graphically and analyzed in detail.

Suggested Citation

  • Yunbin Xu & Meihua Wei, 2019. "Flux Transport Characteristics of Free Boundary Value Problems for a Class of Generalized Convection-Diffusion Equation," Advances in Mathematical Physics, Hindawi, vol. 2019, pages 1-7, February.
    • Handle: RePEc:hin:jnlamp:7351042
    DOI: 10.1155/2019/7351042
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