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Home > Numerical methods calculators > Numerical Interpolation using Forward, Backward, Divided Difference, Lagrange's method calculator
Method and examples
Numerical interpolation using Newton's Forward Difference formula
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Method  
 
Type your data in either horizontal or verical format,

OR
Rows :
Click On Generate
x =
Option :
  1. X18911901191119211931
    f(x)46668193101
    and x=1895
  2. X0.10.20.30.40.5
    f(x)20.02502110.0501306.7421105.1010504.127060
    and x=0.15
  3. X3456789
    f(x)2.76.412.521.634.351.272.9
    and x=1
  4. X1015202530
    f(x)0.10030.15110.2270.25530.3093
    and x=12
f(x) =
x1 = and x2 =
x =
Step value (h) =   OR  Inverval (N) =
=
Option :
  1. `f(x)=2x^3-4x+1`
    x1 = 2 and x2 = 4
    x = 3.8
    Step value (h) = 1
    or N = 5
  2. `f(x)=2x^3-4x+1`
    x1 = 2 and x2 = 4
    x = 2.1
    Step value (h) = 1
    or N = 8
  3. `f(x)=x^3-x+1`
    x1 = 2 and x2 = 4
    x = 3.8
    Step value (h) = 1
    or N = 5
  4. `f(x)=x^3-x+1`
    x1 = 2 and x2 = 4
    x = 2.1
    Step value (h) = 1
    or N = 8
  5. `f(x)=x^3+x+2`
    x1 = 2 and x2 = 4
    x = 3.8
    Step value (h) = 1
    or N = 5
  6. `f(x)=x^3+x+2`
    x1 = 2 and x2 = 4
    x = 2.1
    Step value (h) = 1
    or N = 8
  7. `f(x)=sin(x)`
    x1 = 0 and x2 = 1.57
    x = 2
    Step value (h) = 1
    or N = 8
  8. `f(x)=cos(x)`
    x1 = 0 and x2 = 1.57
    x = 2
    Step value (h) = 1
    or N = 8
For next step calucation, use previous value
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