This PPT contains the topic called Gauss Forward And Backward Central Difference Interpolation Formula of subject called Numerical and Statistical Methods for Computer Engineering.

1. Presentation on
Gauss Forward And Backward Central
Difference Interpolation Formula
 Presented By :
• Deep Dalsania
(160350116002)
• Jhanvi Ghediya
(160350116003)
• Rakesh Talaviya
(160350116010)
• Drashti Bangoriya
(160350116001)
• Bhakti Tank
(160350116011)
• Subject Name: Numerical and
Statistical Methods For Computer
Engineering
• Subject Code: 2140706
• Submitted To:
Prof. Dipesh Bhogayata Sir

2. INTERPOLATION
• The process of finding the curve passing through the points
is called as Interpolation.
INTERPOLATION
EQUAL INTERVAL UNEQUAL INTERVAL
NEWTOWN AND GAUSS
INTERPOLATION
LAGRANGES INTERPOLATION

3. Gauss Forward Central Difference Formula

4. X Y Δ Δ2 Δ3 Δ4
X-2 Y-2
ΔY-2
X-2 Y-1 Δ2Y-2
ΔY-1 Δ3Y-2
X0 Y0 Δ2Y-1 Δ4Y-2
ΔY0 Δ3Y-1
X1 Y1 Δ2Y0
ΔY1
X2 Y2

5. Gauss Backward Central Difference Formula

6. X Y Δ Δ2 Δ3 Δ4
X-2 Y-2
ΔY-2
X-2 Y-1 Δ2Y-2
ΔY-1 Δ3Y-2
X0 Y0 Δ2Y-1 Δ4Y-2
ΔY0 Δ3Y-1
X1 Y1 Δ2Y0
ΔY1
X2 Y2