#### ghasem_008

##### Full Member level 4

as you know,tridiagonal matrix algorithm (TDMA), known as the Thomas algorithm.and a

tridiagonal system may be written as :

a(i)*x(i-1) + b(i)*x(i) + c(i)*x(i+1) =d(i) ; a(1)=0; c=0;

now,I have one question:

I must to decompose d(i) to two part.i,e:

suppose d(i) is : d(i) = e(i) + f(i).

I want to slove thomas algorithm in two section:

first:

with e(i) in right hand side only.i,e : 0.5*[ a(i)*x(i-1) + b(i)*x(i) + c(i)*x(i+1) ] = e(i)

second:

with f(i) in right hand side only.i,e : 0.5* [a(i)*x(i-1) + b(i)*x(i) + c(i)*x(i+1)] = f(i)

can I solve this algorithm in two step?i,e in this manner,

answers [x(i)] in second part end are same as x(i) in original problem?

thanks...