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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 reader only needs superficial knowledge of how solutions are generated by the program, and no previous experience is required to start using it. This book is a sequel of Deformation and Vibration by FEA, which begins by an introduction to the graphical procedures of FlexPDE, and computational commands are then added successively. The Student Version is sufficient for the present self-instructional e-book, except in a few advanced examples. This e-book (176 pages) solves a hundred documented problems, the results being illustrated by color plots.
The following list quotes a few subjects from the table of contents.
• Irrotational flow of liquids in (x,y) space
• Circulation around an obstacle
• Viscous flow in (x,y) Channels
• Viscous flow past an obstacle
• Irrotational flow in (ρ,z) space
• Viscous flow in (ρ,z) space
• Seeping through porous materials
• Viscous flow at Re>>1 in (x,y) space
• Viscous flow at Re>>1 in (ρ,z) space
• Transient viscous flow at Re>>1
• Viscous flow in three dimensions
• Simplified PDEs for viscous flow
• Waves in fluids
• Vocabulary of FlexPDE
This seems to be the only book of its kind.
eBookMall recently interviewed Gunnar Backstrom. Here is an excerpt:
What advice would you give to students going into mathematics and/or physics?
"I should encourage them to engage in research and innovation in fields that are of immediate interest for humans."
Read more on Gunnar's author page!