Publication Cover
Applicable Analysis
An International Journal
Volume 20, 1985 - Issue 1-2
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Original Articles

Two elementary analytical formulae for roots of nonlinear equations

Pages 73-77 | Received 14 Mar 1985, Published online: 02 May 2007
 

Abstract

Two new simple closed-form integral formulae for the evaluation of one simple root of a nonlinear algebraic or transcendental equation in a finite real interval are proposed. The construction of these formulae is based simply on the classical method of integration by parts. Although the integrand in the first formula is discontinuous, the second formula has a continuous integrand. Numerical results are also presented.

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