A recursive construction of particular solutions to a system of coupled linear partial differential equations with polynomial source term
Particular solutions of a system of linear partial differential equations (PDEs) are computed in a recursive way. The technique is an extension of the method of \textit{H. L. Janssen} and \textit{H. L. Lambert} [J. Comput. Appl. Math. 39, No. 2, 227-242 (1992; Zbl 0749.65075)] who have given their results for a single PDE. In the present paper the method is modified to ensure the explicit recursivity of the formula. Then the extension for a system of PDEs is presented.
scientific article; zbMATH DE number 908419