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Verbesserter Euler Bsp. (16)

Bsp. (16) Verbesserter Euler - metaphor.ethz.ch · 2.0 1.5 1.0 0.5 0.0 -0.5 -1.0 Exact -1.5 RK4 1.0) 1.5 2 2. 5 3. O 3.5 4.0 0.5 1.0 Yk Yk 1 ) tk+l y(t) If(tk, n) = kl 2.0 1.5 1.0

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Page 1: Bsp. (16) Verbesserter Euler - metaphor.ethz.ch · 2.0 1.5 1.0 0.5 0.0 -0.5 -1.0 Exact -1.5 RK4 1.0) 1.5 2 2. 5 3. O 3.5 4.0 0.5 1.0 Yk Yk 1 ) tk+l y(t) If(tk, n) = kl 2.0 1.5 1.0

Verbesserter Euler

Bsp. (16)

Page 2: Bsp. (16) Verbesserter Euler - metaphor.ethz.ch · 2.0 1.5 1.0 0.5 0.0 -0.5 -1.0 Exact -1.5 RK4 1.0) 1.5 2 2. 5 3. O 3.5 4.0 0.5 1.0 Yk Yk 1 ) tk+l y(t) If(tk, n) = kl 2.0 1.5 1.0

Heun‘s Methode

Bsp. (16)

Page 3: Bsp. (16) Verbesserter Euler - metaphor.ethz.ch · 2.0 1.5 1.0 0.5 0.0 -0.5 -1.0 Exact -1.5 RK4 1.0) 1.5 2 2. 5 3. O 3.5 4.0 0.5 1.0 Yk Yk 1 ) tk+l y(t) If(tk, n) = kl 2.0 1.5 1.0

DIE Runge-Kutta Methode

Bsp. (16)

Page 4: Bsp. (16) Verbesserter Euler - metaphor.ethz.ch · 2.0 1.5 1.0 0.5 0.0 -0.5 -1.0 Exact -1.5 RK4 1.0) 1.5 2 2. 5 3. O 3.5 4.0 0.5 1.0 Yk Yk 1 ) tk+l y(t) If(tk, n) = kl 2.0 1.5 1.0

Verb. Euler & Heun

Bsp. (16)

Page 5: Bsp. (16) Verbesserter Euler - metaphor.ethz.ch · 2.0 1.5 1.0 0.5 0.0 -0.5 -1.0 Exact -1.5 RK4 1.0) 1.5 2 2. 5 3. O 3.5 4.0 0.5 1.0 Yk Yk 1 ) tk+l y(t) If(tk, n) = kl 2.0 1.5 1.0

DIE Runge-Kutta Methode

Bsp. (16)

Page 6: Bsp. (16) Verbesserter Euler - metaphor.ethz.ch · 2.0 1.5 1.0 0.5 0.0 -0.5 -1.0 Exact -1.5 RK4 1.0) 1.5 2 2. 5 3. O 3.5 4.0 0.5 1.0 Yk Yk 1 ) tk+l y(t) If(tk, n) = kl 2.0 1.5 1.0

Fehler

Bsp. (16)

Page 7: Bsp. (16) Verbesserter Euler - metaphor.ethz.ch · 2.0 1.5 1.0 0.5 0.0 -0.5 -1.0 Exact -1.5 RK4 1.0) 1.5 2 2. 5 3. O 3.5 4.0 0.5 1.0 Yk Yk 1 ) tk+l y(t) If(tk, n) = kl 2.0 1.5 1.0
Page 8: Bsp. (16) Verbesserter Euler - metaphor.ethz.ch · 2.0 1.5 1.0 0.5 0.0 -0.5 -1.0 Exact -1.5 RK4 1.0) 1.5 2 2. 5 3. O 3.5 4.0 0.5 1.0 Yk Yk 1 ) tk+l y(t) If(tk, n) = kl 2.0 1.5 1.0