چکیده (انگلیسی):

The aim of this paper is to construct continuous numerical solutions with a prefixed accuracy in a bounded domain Ω(t0, tl) = [0, p] × [to, tl], for mixed problems of the type ut(x, t) -D(t)uxx(x, t)= 0, 0 < x < p, t > 0, subject to u(0, t) = u(p, t) = 0 and u(x, 0) = F(x). Here, u(x, t) and F(x) are rcomponent vectors and D(t) is a Cr*r valued two-times continuously differentiable function, so that D(tl)D(t2) = D(t2)D(tl) for t2 < tl > 0 and there exists a positive number 5 such that every eigenvalue z of (D(t) + DH(t))/2 with t > 0 is bigger than 6.