Download a free sample of this eBook
Partial differential equations (PDEs) predict how fields vary in space and time, and they are hence of vital importance in physics and engineering. In spite of this central role, PDEs have not yet received the attention they deserve in college curricula. This is because very few exact solutions exist, and numerical solutions are cumbersome, to the extent that the latter are taught within separate academic disciplines, such as Applied Mathematics, Numerical Analysis, or Computation. These disciplines focus on numerical methods, however, rather than actual solutions and are mostly of little practical value to scientists and engineers.
A program now available on the web solves PDEs in seconds on a simple PC.
The Student Version of FlexPDE is FREE!
The user only needs superficial knowledge of how solutions are generated by the program. This volume is a sequel to Fields of Physics by FEA, which explains the bases of FlexPDE. The Student Version is utilized in the present self-instructional e-book, except in the most advanced examples. This e-book (194 pages) solves a multitude of documented problems, illustrated by color plots.
The following list quotes a few subjects from the table of contents.
• Electromagnetic waves and resonators in (x,y)
• Wave guides
• Vector potential and eddy fields in (x,y) space
• Vector potential in (ρ,z) space and radiation
• Elementary wave mechanics in one dimension
• Harmonic oscillators in (x,y) and (ρ,z) space
• The hydrogen atom in (ρ,z) space
• The hydrogen molecule-ion
• Waves in three dimensions
• Vocabulary of FlexPDE
This seems to be the only book of its kind.