Title :
An expert system for eigenfunction expansions of solutions to the wave, heat, and Laplace equations
Author :
Kadamani, Sami ; Snider, Arthur David
Author_Institution :
Dept. of Electr. Eng., Univ. of South Florida, Tampa, FL, USA
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
Keywords :
Laplace equations; boundary-value problems; eigenvalues and eigenfunctions; expert systems; mathematics computing; wave equations; Dirichlet boundary conditions; LATEX code; Laplace equations; Neumann boundary conditions; Robin boundary conditions; eigenfunction expansions; expert system; heat equations; nonhomogeneous wave equations; Algorithms; Boundary conditions; Differential equations; Eigenvalues and eigenfunctions; Expert systems; Frequency domain analysis; Heat engines; Laplace equations; Partial differential equations; Resistance heating;
Conference_Titel :
Southeastcon '98. Proceedings. IEEE
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-4391-3
DOI :
10.1109/SECON.1998.673351
