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Fig. 5 An example of a transient solution.
The transient solution naturally reduces to steady state solution.
A key takeaway I left with is the following: therapeutic development is very challenging, expensive, lengthy and regulated, and ultimately offers a transient solution to treating disease.
The numerical computation has been done using Runge Kutta method to provide the transient solution.
Numerical results of steady and transient solution have been compared to available experimental data.
As for transient solution, a feasible way is to directly apply high-order integral transformation to the field equations.
Therefore, when sweeping between those values, the transient solution will work fine with the window function multiplied to f2.
Gauss Legendre quadrature is employed to evaluate the double integral of general transient solution.
As a result, the transient solution is obtained without resorting to expensive time stepping schemes.
A method for proving that the transient solution of the controlled system approaches the target SPDF as t→∞ is introduced.
The pressure response at the wellbore was compared against analytical pressure transient solution introduced by Warren and Root (1963) for dual-porosity model.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com