Numerical differentiation using various methods with evenly spaced points
Aim
The objectives of this experiment are:
To understand the concept of numerical differentiation and its importance in approximating derivatives when analytical expressions are not available.
To input a mathematical function and define a suitable range with evenly spaced data points for numerical analysis.
To apply different numerical differentiation techniques, namely:
- Forward Difference Method
- Backward Difference Method
- Central Difference Method
To compute and observe numerical derivative values using tabular output generated by the simulation tool.
To compare the original function with its numerically approximated derivative through graphical visualization.
To analyze the effect of step size and method selection on the accuracy of numerical derivative estimation.
To develop practical insight into the role of numerical differentiation in engineering and scientific computations.