Secant method

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B.E. 4 th Semester Maths-IV: 140001 Numerical Analysis Prof. K.K.Pokar Assistant Professor in Mathematics Government Engineering College,Bhuj Prof. K.K.Pokar, GEC BHUJ

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The Basics of Secant Method

Transcript of Secant method

Page 1: Secant method

Prof. K.K.Pokar, GEC BHUJ

B.E. 4th Semester

Maths-IV: 140001

Numerical Analysis

Prof. K.K.PokarAssistant Professor in Mathematics

Government Engineering College,Bhuj

Page 2: Secant method

Prof. K.K.Pokar, GEC BHUJ

Numerical Methods

Secant Method

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Prof. K.K.Pokar, GEC BHUJ

Secant MethodGraphically

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Prof. K.K.Pokar, GEC BHUJ

Secant Method

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Prof. K.K.Pokar, GEC BHUJ

Secant Method Analytically

From the formula of NR-method

In the formula using

Page 6: Secant method

Prof. K.K.Pokar, GEC BHUJ

Why Secant method is alternate of NR method?

IMPO

RTA

NT

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Prof. K.K.Pokar, GEC BHUJ

Problem Solving Approach

Find a real root of the following equation using secant method.

Accurate to five significant figures.

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Prof. K.K.Pokar, GEC BHUJ

Solution in tabular form:

Then

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Prof. K.K.Pokar, GEC BHUJ

The calculations are summarized in the following table:

Hence, a root is 3.1004 correct up to five significant figures.


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