Question

 Let h be the finite difference, then forward difference operator is defined by ____

1 point

. f(x) = f(x+h) -f(x)

. f(x) = f(x-h) -f(x)

. f(x) = f(x+h)

. f(x) = f(x-h)+f(x)

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Answer 1

Answer:

option A is the correct answer.

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Answer 2

Answer:

Forward difference operator is defined by f(x) = f(x + h) − f(x)

Step-by-step explanation:

There are different type of finite operators in which forward difference,  backward difference and central difference operators are used.

If finite difference is assumed to be h then the forward difference operator is defined by:

f(x) = f(x + h) − f(x)

When $x = x_{i}$ , then from above equation

$f(x_{i}) = f(x_{i} + h) - f(x_{i})$

i.e., $y_{i} = y_{i}+1 - y_{i}$ ,     i = 0, 1, 2, 3, ... , n-1

In     $y_{0}= y_{1} - y_{0}$

       $y_{1}= y_{2} - y_{1}$

       $y_{2}= y_{3} - y_{2}$   and so on.

These are called first order forward differences.