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In this article we obtain some numerical results for the considered problem
u'' - u' + (-u^2 + 1)e^(-1/(1+u)) = 0 on [0,1]
u'(0) - u(0) = 0
u'(1) = 0
This problem arises from the theory of adiabatic tubular chemical reactors. To solve the problem from above we applied a common fixed point result for non-deceasing and weakly increasing operators in a partially ordered metric space.
boundary value problem, partially ordered metric space, adiabatic tubular chemical reactors
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