NUMERICAL CONTINUATION METHOD FOR A SYSTEM OF PARALLEL FLOW TUBES

Numerical solutions of the mathematical models of the kidney generally involve determining the roots of a nonlinear equation. Most iterative methods for the solution of nonlinear equations require a good initial approximation to the solution. One approach in overcoming this dependence is the use of the so-called continuation techniques. By taking an underlying physiological model of the kidney as our guide, we develop two such techniques for the efficient solution of these equations. These techniques do not require any prior knowledge of the solution. © 1979.