Forward difference Newtons formula

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SUMMARY

The discussion focuses on calculating the value of X using Forward Difference Newton's Formula with specific arguments a1, a1+h, a1+2h, and a1+3h, corresponding to values p, q, r, and s. The formula is expressed through a series of differences, leading to the equations involving these values. The user seeks assistance in deriving the value of 'a' from the provided relationships, which include multiple forward differences. The discussion highlights the complexity of the calculations involved in applying Newton's method for numerical interpolation.

PREREQUISITES
  • Understanding of Forward Difference Newton's Formula
  • Familiarity with numerical methods for interpolation
  • Basic algebraic manipulation skills
  • Knowledge of finite differences
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  • Study the derivation of Forward Difference Newton's Formula
  • Learn about finite difference methods in numerical analysis
  • Explore practical applications of Newton's interpolation in programming
  • Review examples of solving equations using numerical methods
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Mathematicians, students in numerical analysis, and anyone interested in applying interpolation techniques for solving equations using Forward Difference Newton's Formula.

muskan
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please help me to finding out the value of X for forward difference Newtons formula i am tryign since 2 weeks but i fails

where the values of arguments are a1, a1+h, a1+2h, a1+3h
and there cross ponding values are p,q,r,s respectively
 
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ques is

F(a) p f(a) p2 f(a) p3f(a) p4f(a)
A1+ h p
A1+ 2h q q-p
A1+3h r r-q r-q-q+p=r-2q+p
A1+ 4h s s-r s-r-r+q = s-2r+q s-2r+q –r +2q-p= s- 3r+3q-p



we find value of a
 

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