An exact series solution for nonhomogeneous parabolic coupled systems of the type , where , and are arbitrary matrices for which the block matrix is nonsingular, and A is a positive stable matrix, is constructed.
Vicente Soler. Emilio Defez. Roberto Capilla. José Antonio Verdoy. "On the Exact Series Solution for Nonhomogeneous Strongly Coupled Mixed Parabolic Boundary Value Problems." Abstr. Appl. Anal. 2014 1 - 10, 2014. https://doi.org/10.1155/2014/826860