Multi-step Methods - Differential Equations
Card 1 of 4
The two-step Adams-Bashforth method of approximation uses the approximation scheme 
.
Given that 
and 
, use the Adams-Bashforth method to approximate 
for 
with a step size of 
The two-step Adams-Bashforth method of approximation uses the approximation scheme
Given that
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In this problem, we're given two points, so we can start plugging in immediately. If we were not, we could approximate 
by using the explicit Euler method on 
.
Plugging into 
, we have
.
Note, our approximation likely won't be very good with such large a time step, but the process doesn't change regardless of the accuracy.
In this problem, we're given two points, so we can start plugging in immediately. If we were not, we could approximate
Plugging into
Note, our approximation likely won't be very good with such large a time step, but the process doesn't change regardless of the accuracy.
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The two-step Adams-Bashforth method of approximation uses the approximation scheme .
Given that and , use the Adams-Bashforth method to approximate for with a step size of
The two-step Adams-Bashforth method of approximation uses the approximation scheme
Given that
Tap to reveal answer
In this problem, we're given two points, so we can start plugging in immediately. If we were not, we could approximate by using the explicit Euler method on .
Plugging into , we have
.
Note, our approximation likely won't be very good with such large a time step, but the process doesn't change regardless of the accuracy.
In this problem, we're given two points, so we can start plugging in immediately. If we were not, we could approximate
Plugging into
Note, our approximation likely won't be very good with such large a time step, but the process doesn't change regardless of the accuracy.
← Didn't Know|Knew It →
The two-step Adams-Bashforth method of approximation uses the approximation scheme .
Given that and , use the Adams-Bashforth method to approximate for with a step size of
The two-step Adams-Bashforth method of approximation uses the approximation scheme
Given that
Tap to reveal answer
In this problem, we're given two points, so we can start plugging in immediately. If we were not, we could approximate by using the explicit Euler method on .
Plugging into , we have
.
Note, our approximation likely won't be very good with such large a time step, but the process doesn't change regardless of the accuracy.
In this problem, we're given two points, so we can start plugging in immediately. If we were not, we could approximate
Plugging into
Note, our approximation likely won't be very good with such large a time step, but the process doesn't change regardless of the accuracy.
← Didn't Know|Knew It →
The two-step Adams-Bashforth method of approximation uses the approximation scheme .
Given that and , use the Adams-Bashforth method to approximate for with a step size of
The two-step Adams-Bashforth method of approximation uses the approximation scheme
Given that
Tap to reveal answer
In this problem, we're given two points, so we can start plugging in immediately. If we were not, we could approximate by using the explicit Euler method on .
Plugging into , we have
.
Note, our approximation likely won't be very good with such large a time step, but the process doesn't change regardless of the accuracy.
In this problem, we're given two points, so we can start plugging in immediately. If we were not, we could approximate
Plugging into
Note, our approximation likely won't be very good with such large a time step, but the process doesn't change regardless of the accuracy.
← Didn't Know|Knew It →