Solution of Transcendental Equation Using Clamped Cubic Spline

Authors

  • Mostak Ahmed Department of Mathematics, Jagannath University, Dhaka-1100,
  • Samir Kumar Bhowmik Department of Mathematics, University of Dhaka, Dhaka-1000,

DOI:

https://doi.org/10.3329/dujs.v61i1.15095

Keywords:

Transcendental equation, regular false-position method, interpolation, clamped cubic spline formula

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).

Dhaka Univ. J. Sci. 61(1): 47-52, 2013 (January)

DOI: http://dx.doi.org/10.3329/dujs.v61i1.15095

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Published

2013-05-27

How to Cite

Ahmed, M., & Bhowmik, S. K. (2013). Solution of Transcendental Equation Using Clamped Cubic Spline. Dhaka University Journal of Science, 61(1), 47–52. https://doi.org/10.3329/dujs.v61i1.15095

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