SKEDSOFT

Maths For Engineers - 3

Backward Differences:

The differences y1 − y0, y2 − y1, ..., yn − yn−1 when denoted by \nabla \!\,y1, \nabla \!\,y2, ..., \nabla \!\,yn respectively, are called the first backward differences. Here, \nabla \!\, (read as Nabla) is backward differences operator. Thus we have;

Backward Difference Table:

 

Central Differences:

The differences y1 − y0, y2 − y1, ..., yn − yn−1 when denoted by δ y1/2, δ y3/2, ..., δ y(2n−1)/2 respectively, are called the central differences. Here, d is called as central difference operator. Thus we have,

                                     

Central Difference Table: