An expert system for eigenfunction expansions of solutions to the wave, heat, and Laplace equations

Abstract

We describe a new expert system, written in C, for expressing the eigenfunction expansions of solutions to the nonhomogeneous wave, heat and Laplace equations in rectangular, cylindrical, and spherical coordinates with Dirichlet, Neumann, or Robin boundary conditions, in either the time, Laplace or frequency domains. The output of the program is LATEX code expressing the expansion, with elaboration on the eigenvalues and the expressions for the coefficients therein.