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Numerical Interpolation using
Forward, Backward, Divided Difference, Langrange's Interpolation Method
Method  
 
Type your data in either horizontal or verical format,
for seperator you can use '-' or ',' or ';' or space or tab
for sample click random button

OR
Correlation Coefficient - Grouped
Rows :  
Click On Generate
 x =
Find 
  1. x0123
    f(x)10110
    and x=4
  2. x0.10.20.30.40.5
    f(x)20.02502110.0501306.7421105.1010504.127060
    and x=0.15
  3. x18911901191119211931
    f(x)46668193101
    and x=1895
  4. x18911901191119211931
    f(x)46668193101
    and x=1925
  5. x3456789
    f(x)2.76.412.521.634.351.272.9
    and x=1
  6. x3456789
    f(x)2.76.412.521.634.351.272.9
    and x=10
  7. x1015202530
    f(x)0.10030.15110.2270.25530.3093
    and x=12
  8. x1015202530
    f(x)0.10030.15110.2.270.25530.3093
    and x=40
  9. x300304305307
    f(x)2.47712.48292.48432.4871
    and x=301
  10. x22.53
    f(x)0.693150.916291.09861
    and x=2.7
  11. x0134
    f(x)-1201224
    and x=5
  12. x-10367
    f(x)3-6398221611
    and x=8
  13. x0.20.30.50.70.8
    f(x)1.1486981.2311441.4142141.6245051.741101
    and x=0.40
f(x) =
x1 = and x2 =
 x =
Step value (h) =  OR  Inverval (N) =
Find 
  1. `f(x)=2x^3-4x+1`
    x1 = 2 and x2 = 4
    x = 3.8
    Step value (h) = 0.5
    or N = 5
  2. `f(x)=2x^3-4x+1`
    x1 = 2 and x2 = 4
    x = 2.1
    Step value (h) = 0.25
    or N = 8
  3. `f(x)=x^3-x+1`
    x1 = 2 and x2 = 4
    x = 3.8
    Step value (h) = 0.5
    or N = 5
  4. `f(x)=x^3-x+1`
    x1 = 2 and x2 = 4
    x = 2.1
    Step value (h) = 0.25
    or N = 8
  5. `f(x)=x^3+x+2`
    x1 = 2 and x2 = 4
    x = 3.8
    Step value (h) = 0.5
    or N = 5
  6. `f(x)=x^3+x+2`
    x1 = 2 and x2 = 4
    x = 2.1
    Step value (h) = 0.25
    or N = 8
  7. `f(x)=sin[x]`
    x1 = 0 and x2 = 1.57
    x = 2
    Step value (h) = 0.25
    or N = 8
  8. `f(x)=cos[x]`
    x1 = 0 and x2 = 1.57
    x = 2
    Step value (h) = 0.25
    or N = 8
SolutionHelpForward differentiationBackward differentiationDivided DifferenceLangrange's Interpolation

 
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