Truncation Error Of The Explicit Method For Wave Equation

Trunction error :   Truncation error occured in numerical analysis when we used the approximate result or by replacing an infinite process by a finite one.

We know that,

Expanding in Taylor’s series, we obtain

where all the terms on the right hand sides are evaluated at (x_i , t_j). The truncation error is given by

Now, using the differential equation

we obtain

since

k = (hr)/c.

The order of the method is given by order =