This paper continues with the construction of the exact solution for parabolic coupled systems of the type , , , , , and , where , , , and are arbitrary matrices for which the block matrix is nonsingular, and is a positive stable matrix. Although this problem has been solved in the literature (Soler et al., 2013), in this work we are using completely new conditions.
"On Exact Series Solution for Strongly Coupled Mixed Parabolic Boundary Value Problems." Abstr. Appl. Anal. 2014 1 - 9, 2014. https://doi.org/10.1155/2014/759427