Graduation Year
2005
Document Type
Dissertation
Degree
Ph.D.
Degree Granting Department
Electrical Engineering
Major Professor
Arthur David Snider, PhD.
Committee Member
Kenneth A. Buckle, Ph.D.
Committee Member
Stanley C. Kranc, Ph.D.
Committee Member
Wilfrido A. Moreno, Ph.D.
Committee Member
Mohamed Elhamdadi, Ph.D.
Keywords
Eigen function, Analytic solutions, Pde, Seperation of variables, Symbolic computing
Abstract
USFKAD is an encoded expert system for the eigenfunction expansion of solutions to the wave, diffusion, and Laplace equations: both homogeneous and nonhomogenous; one, two, or three dimensions; Cartesian, cylindrical, or spherical coordinates; Dirichlet, Neumann, Robin, or singular boundary conditions; in time, frequency, or Laplace domain. The user follows a menu to enter his/her choices and the output is a LaTeX file containing the formula for the solution together with the transcendental equation for the eigenvalues (if necessary) and the projection formulas for the coefficients. The file is suitable for insertion into a book or journal article, and as a teaching aid. Virtually all cases are covered, including the Mellin, spherical harmonic, Bessel, modified Bessel, spherical Bessel, Dini, Hankel, Weber, MacDonald, and Kantorovich-Lebedev expansions, mixed spectrum, and rigid body modes.
Scholar Commons Citation
Kadamani, Sami M., "USFKAD: An Expert System For Partial Differential Equations" (2005). USF Tampa Graduate Theses and Dissertations.
https://digitalcommons.usf.edu/etd/712
