ODEs arise in many physics problems Classifications: As with the ...
ODEs arise in many physics problems Classifications: As with the ...
ODEs arise in many physics problems Classifications: As with the ...
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Two-Po<strong>in</strong>t Boundary Problems● Rewrite as a system: y 1 = u, y 2 = u 0 :● Left boundary conditions: y1 (0) = a; y 2 (0) = ´– This allows us to <strong>in</strong>tegrate <strong>the</strong> system from 0 to 1– What is ´ ?●●Parameter that we adjust to make <strong>the</strong> solution yield y1(1) = b at <strong>the</strong> end of<strong>in</strong>tegrationShoot<strong>in</strong>g algorithm:– Guess ´– Integrate system to right boundary– Use secant method to zero f(´) = b { y 1(´)(1)– RepeatPHY 688: Numerical Methods for (<strong>As</strong>tro)Physics
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