On the Exact Series Solution for Nonhomogeneous Strongly Coupled Mixed Parabolic Boundary Value Problems

Abstract EN

An exact series solution for nonhomogeneous parabolic coupled systems of the type u t - A u x x = G x , t , A 1 u 0 , t + B 1 u x 0 , t = 0 , A 2 u l , t + B 2 u x l , t = 0 , 0 < x < 1 , t > 0 , u x , 0 = f x ,where A 1 , A 2 , B 1 , and B 2 are arbitrary matrices for which the block matrix A 1 B 1 A 2 B 2 is nonsingular, and A is a positive stable matrix, is constructed.