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Lecture 28n, PDE spiral

 PDE solution is a spiral

solve order 2 PDE in x,y,t

The simplest spiral is defined as:
x(t) = t*cos(2Pi*t)    2Pi is 6.28
y(t) = t*sin(2Pi*t)    step size dt used here 1.0/32
                       with 8 cycles of spiral

First plots x(t),y(t)  dx/dt x(t),dy/dt y(t)  
plot_spiral.py3
plot_spiral_py3.out




version with much checking:
ode_spiral_chk.java
ode_spiral_chk_java.out
ode_spiral_chk2.java
ode_spiral_chk2_java.out

ode_spiral_chk.py3
ode_spiral_chk_py3.out

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Other links

• CMSC 455 home page
• Syllabus - class dates and subjects, homework dates, reading assignments
• Homework assignments - the details
• Projects -
• Partial Lecture Notes, one per WEB page
• Partial Lecture Notes, one big page for printing
• Downloadable samples, source and executables
• Some brief notes on Matlab
• Some brief notes on Python
• Some brief notes on Fortran 95
• Some brief notes on Ada 95
• An Ada math library (gnatmath95)
• Finite difference approximations for derivatives
• MATLAB examples, some ODE, some PDE
• parallel threads examples
• Reference pages on Taylor series, identities,
  coordinate systems, differential operators
• selected news related to numerical computation

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