On Exact Series Solution of Strongly Coupled Mixed Parabolic Problems

Abstract EN

This paper studies the construction of the exact solution for parabolic coupled systems of the type ut=Auxx, A1u(0,t)+B1ux(0,t)=0, A2u(l,t)+B2ux(l,t)=0, 00, and u(x,0)=f(x), where A1, A2, B1, and B2 are arbitrary matrices for which the block matrix (A1B1A2B2) is nonsingular, and A is a positive stable matrix.