numerical solution of sommerfeld integral

[ghasem_008]

hi.
how can I use from "integration then summation with extrapolation method"
to calculate "infinite integral numerically" (by matlab)?
in fact:
1. I know how solve an infinite integral numerically.
2. but I don't know how use from an extrapolation mehtod (such as shanks or levin algorithm) to accelerate convergence of equivalent series of this integral.

more clearly:
please see the attachment.
View attachment integral and extrapolation.pdf
where I use from extrapolation method in a matlab code?
is there anyone who help me?

 

[ghasem_008]

how can I solve sommerfeld integral numerically?

hi.
how can I use from "integration then summation with extrapolation method"
to calculate "semi-infinite Sommerfeld integral numerically" (by matlab)?
in fact:
1. I know how obtain numerical integration of a function with one variable (F(x)).
2. But I don't know how integrate over x variable,while other variable is a parameter
(namely: F= F(x,y))
2. also I don't know how use from an extrapolation mehtod (such as shanks or levin algorithm) to accelerate convergence of equivalent series of the semi-infinite Sommerfeld integral.

more clearly:
please see the attachment.
View attachment integral and extrapolation.pdf
where I use from extrapolation method in a matlab code?
is there anyone who help me?