Title: Solution Methods for Scalar Nonlinear Equations
Abstract:This chapter deals with solution methods for scalar nonlinear equations in physics or engineering. It explains implementation of computational methods capable of satisfying the required accuracy const...This chapter deals with solution methods for scalar nonlinear equations in physics or engineering. It explains implementation of computational methods capable of satisfying the required accuracy constraints, even in the most demanding situations. The chapter discusses approximate roots, Newton-Raphson method, order of a root-finding method, and chord and secant methods. The formulation of Newton-Raphson method leads to a wide variety of other root-finding algorithms and is easily adaptable to solving systems of nonlinear equations. The Newton-Raphson algorithm converges much faster than bisection method. The chord method seems to converge linearly, and the secant methods converge superlinearly with an approximate order p approximately equal to 1.62. While the Newton's method has only local convergence, the bisection method or Regula Falsi method are the examples of globally convergent algorithms.Read More
Publication Year: 2020
Publication Date: 2020-05-29
Language: en
Type: other
Indexed In: ['crossref']
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