Numerical Methods

Taylor Series Method

Taylor Series Method : Taylor series method is the fundamental numerical method for the solution of the initial value.

 

In vector format, we write the Taylor series method of order p as

...................1.1

where,

 

In component form, we obtain

...................1.3

......................1.4

 

Euler’s method for solving the system is given by

......................1.5

......................1.6