Master equations Laplace transform

Thus we have found that it is not necessary to solve the master equation (1.1) with absorbing boundary it is sufficient to find the solution of the unbounded process and determine its Laplace transform. 

Rather than solving the master equation and subsequently taking the Laplace transform, it is often easier to make use of the equation for pB>IB(A) itself. Multiply (VI.1.2) with e-A, integrate over t from 0 to oo, and use partial integration in the left-hand member,... 

Fig. 2,17. Pressure and temperature dependence of reaction (24). The solid lines are a calculated fit using an inverse Laplace transform/Master Equation technique described in...

We are in position now to derive the Master equation for the density p x, t). Since the balance equations (3.121) and (3.122) are nonlinear, we cannot apply the standard technique of the Fourier—Laplace transforms directly. Instead we differentiate the density p(x, t) with respect to time ... 

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