Question

Numerical differentiation can be used only when the difference of some order are

Answer 1

Answer:

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Answer 2

Numerical differentiation can be used only when the difference of some order are constant.

• Differential equations can be difficult to solve analytically at times, and models are required for computer simulations. Instead of analytical methods, finite-difference methods are used to solve the equations in these cases.
• Finite-difference methods are numerical methods for solving differential equations by approximating the derivatives with difference equations.
• In the differential equations, f(x)′ is replaced with $f(x+h)-f(x)h$. The second derivative f′′(x) is approximated with $f'(x+h)-f'(x)h.$ The value of h depending on the accuracy required by the specifications.

But, numerical differentiation can only be used when differences in the orders are constant.

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