Initial value problem Differential equation

Presume that a problem is described as an ordinary-differential-equation initial-value problem, such as the mass-action kinetics or plug-flow problems discussed earlier. In the standard form, such a problem might be written as... 

Students require knowledge of solving (numerically) simultaneous first-order differential equations (initial value problems) and multiple nonlinear algebraie equations. The use of mathematical software that provides numerieal solutions to those types of equations (e.g., Matlab, Mathematica, Maple, Matbead, Polymatb, HiQ, etc.) is required. Numerical solutions of all the examples in the text are posted on the book web page. 

Maxwell s equations are discussed in Section 9.2.2. Any problem in regard to the distribution of current or electric field in a homogeneous or composite material can be solved with these equations if the excitation and electrical properties of the materials are known. There are in general two different types of problems to be solved in differential equations initial value problems and boundary value problems. Initial value problems arises when the values of the unknowns are given at a particular point (e.g., at a given time), and die values at future times are to be computed. Boundary value problems arise when the values on the boundary of a material are known, and the values of the interior are to be computed. The latter is a common situation in bioimpedance research where, for example, the current distribution in tissue is to be computed from a given excitation from surface electrodes. 

Nonlinear Ordinary Differential Equations-Initial-Value Problems... 

Ordinary Differential Equations (Initial Value Problems) 107... 

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