In this paper, a method for deriving analytical solutions of the partial differential equations describing multiple species multi-dimensional transport with first-order sequential reactions is presented.
We present analytical solutions for the special case when there are two distributions each taking two discrete values, as well as a method for deriving analytical solutions from numerical solutions.
This method is an accurate method for analytical solutions and numerical approximations of different equations.
Since the frequency response function (FRF) sensitivity method was first proposed [26], it has since become a most powerful and practical method for analytical model updating.
It is important to establish such a method as an analytical tool for assessing any changes in glycan structures related to disease state, differentiation, cell types, and glycoprotein as pharmaceutical.
However, there is still a need for analytical methods that can provide quantitative and qualitative characterizations of nanostructure surface modifications (e.g., bioconjugation), commonly used in such assays.
Proper method validation demonstrates the fit of an analytical method for a given purpose.
Since solutions of these compounds are relatively long-lived, a need for an analytical method for their identification is discussed.
We consider a numerical method for proving a class of analytical inequalities via minimax rational approximations.
The present paper establishes an analytical method for determining the performance of a fully wet fin assembly under dehumidifying conditions.
