Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4634478 | Applied Mathematics and Computation | 2008 | 9 Pages |
Abstract
In this paper, using a hyperbolic tangent function tanh(βx)tanh(βx), β > 0, we develop a non-iterative method to estimate a root of an equation f(x) = 0. The problem of finding root is transformed to evaluating an integral, and thus we need not take account of choosing initial guess. The larger the value of β , the better the approximation to the root. Alternatively we employ the signum function sgn(x)sgn(x) instead of the hyperbolic tangent function, which results in an exact formula for the root. Availability of the present method is shown by some numerical examples for which the traditional Newton’s method is not appropriate.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Beong In Yun,