Approximation Techniques for Solving Linear Systems of Volterra Integro-Differential Equations

Algorithm 2

Numerical Realization Using the Chebyshev Wavelets Method.

1:	Input:(i)(ii)(iii)(iv)Initial Condition (v)Initial Condition
2:	Define:(i)Chebyshev Function (ii)weight function (iii)(iv)(v) as definition (4)(vi)operator as remark (5)
3:	Calculate
4:	Calculate
5:	Calculate
6:	Define operation matrix
7:	Define
8:	Define , for
9:	Substituting in the system
10:	Multiplying each equation by
11:	Applying for all equations
12:	From this step, we get equation
13:	Solving the algebraic system to get
14:	Set in
15:	Input
16:	Plot
17:	Define the error
18:	Plot the error