Numerical differentiation using various methods with evenly spaced points
Aim
The aim of this experiment is to understand and apply numerical differentiation techniques using a simulation tool by performing the following steps:
- To input a mathematical function and define a range with evenly spaced data points.
- To apply different numerical differentiation methods including:
- Forward Difference Method
- Backward Difference Method
- Central Difference Method
- To generate and observe numerical derivative values through tabular output.
- To analyze and compare the original function with its numerical derivative using graphical visualization.
- To study the effect of step size and method selection on the accuracy of derivative estimation.
- To develop practical insight into how numerical differentiation supports engineering and scientific computations when analytical derivatives are not available.