Spline Calculation Excel May 2026

For (i = 2, 3, ..., n-1). With (z_1 = z_n = 0). Let’s interpolate with the points: (1, 2), (2, 3), (4, 2), (7, 5) Step 1: Organize Data | A | B | |---|---| | x | y | | 1 | 2 | | 2 | 3 | | 4 | 2 | | 7 | 5 | Step 2: Calculate Intervals and Slopes | C (h) | D (slope) | |---|---| =A3-A2 → 1 =A4-A3 → 2 =A5-A4 → 3

[ a = y_i ] [ b = \fracy_i+1 - y_ih_i - \frach_i6(2z_i + z_i+1) ] [ c = z_i / 2 ] [ d = \fracz_i+1 - z_i6h_i ] spline calculation excel

Equation for i=3: h2*z2 + 2*(h2+h3)*z3 + h3*z4 = 6*(slope3 - slope2) → 2*z2 + 2*(2+3)*z3 + 3*0 = 6*(1 - (-0.5)) → 2*z2 + 10*z3 = 9 For (i = 2, 3,