Determination of a suitable initial estimate for a root of an equation ƒ(x) = 0 by means of computing the roots of a sequence of related equations is described.

where F is the accumulated infiltration [L] at time t [T], K [L T-1] is the hydraulic conductivity, ψ Δ θ [L] is the matrix potential multiplied by the difference in initial and saturation moisture.

In the 1680s, Isaac Newton devised a method to tackle this problemiStock Photos For over three centuries, researchers have relied on a powerful algorithm developed by Isaac Newton to tackle complex ...

Packing for a trip can be equally exciting and overwhelming. It's a real challenge to efficiently distill a closet full of clothes into a practical travel wardrobe without overpacking (a task loaded ...

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Abstract: This study aimed at comparing the rate of convergence and performance of Newton-Raphson and Regula-Falsi method for solving the nonlinear equations. To solve nonlinear equations, two ...

We discuss a globalization scheme for a class of active-set Newton methods for solving the mixed complementarity problem (MCP), which was proposed by the authors in [3]. The attractive features of the ...

Using a generalization of Newton's method, a non-linear parabolic equation of the form ut - uxx = g(u), and a non-linear elliptic equation uxx + uyy = eu, are solved numerically. Comparison of these ...