2 Methods of Interpolation, Linear and Cubic Spline are discussed in this video.
Linear Interpolation: 3:42
Cubic Spline: 12:35
Clamped vs. Natural Boundary Conditions: 29:06
A code for cubic spline interpolation using clamped boundary conditions can be downloaded from here:
https://drive.google.com/file/d/1xdmbrHRxWTZ4dSt9VUOSaebkAbMrQH9f/view?usp=sharing