On the existence and uniqueness result for a two-step reactive-diffusive equation with variable pre-exponential factor

Olanrewaju, P. O.; Ayeni, RO; Ajala, A. O.; Adebimpe, Olukayode; Ajayi, A. A.

doi:10.4314/jonamp.v10i1.40150

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2008

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“…θ m is the dimensionless temperature at the centre of the slab. He also determined the transitional values δ, β and θ m numerically Olanrewaju et al [11] investigated the effects of the geometry of vessel in the notation. They discovered that the maximum temperature in a non-uniform vessel occurs at the centre and that the maximum temperature for diverging or converging vessel is greater than the one of the diverging vessel…”

Section: Introductionmentioning

confidence: 99%

Power Series Solution for a Two-step Reactive-diffusive Equation with Variable Pre-exponential Factor

Adebile¹,

Koriko²,

Idiong³

2008

J. of Mathematics and Statistics

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We discussed in this research a power series method for solution of a two-step reactive-diffusive equation with variable pre-exponential factor. A transformation was used to fit in the geometry of the model to allow an asymptotic series expansion which is invoked in a two compartmental regions with respect to the spatial variable. Adequate matching conditions were used at the interface between the two regions. The results were displayed graphically and compared with the previous work in the literature

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Section: Introductionmentioning

confidence: 99%