• Title/Summary/Keyword: Luikov's system

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SOLVABILITY OF LUIKOV'S SYSTEM OF HEAT AND MASS DIFFUSION IN ONE-DIMENSIONAL CASE

  • Bougoffa, Lazhar;Al-Jeaid, Hind K.
    • Journal of applied mathematics & informatics
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    • v.29 no.1_2
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    • pp.369-380
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    • 2011
  • This paper studies a boundary value problem for a linear coupled Luikov's system of heat and mass diffusion in one-dimensional case. Using an a priori estimate, we prove the uniqueness of the solution. Also, some traveling wave solutions and explicit solutions are obtained by using the transformation ${\xi}$ = x - ct and separation method respectively.