Solution of Transcendental Equation Using Clamped Cubic Spline

Abstract

Bisection and regular false-position methods are widely used to find roots of a transcendental function f(x) in a certain interval [a,b] satisfying f(a). f(b) < 0. The paper develops a new algorithm to find roots of transcendental functions based on false position method. We use two end points of the interval to interpolate f(x) by an equivalent cubic polynomial using clamped cubic spline formula. We consider one of the roots of the interpolated function to define a new interval and to approximate the root of f(x).

The Melody of Universalism: Political Thought in Rabindra Sangeet

“…In such a fraternity, spiritualism would be India's gift to the world (Tagore 2004). A profound faith in humans, regardless of nationality, race or caste, in overcoming limitations and perils of all kinds dominated his thought (See the Introduction in Ahmed et al 2013). For Tagore, every individual was an expression of God and 'therefore had to be loved and respected, for the sake of loving God' (Quayum 2017).…”