erical calculation from forward Eulerian to backward Eulerian approach?

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Question: How can I revise this model code so that to change the numerical calculation from forward Eulerian to backward Eulerian approach?

 
import numpy as np
import matplotlib.pyplot as plt
#A 1-box model
#dc/dt = S/V - kc
def one_box(S,k,c0, t):
#define timestep, minute
dt = 120
#Initial condition
tt = 0
ct = c0
#Volume of the box
V = 1 #1*1*1 km^3
#Start time-stepping loop
while tt < t:
#calculate the concentration change rate for one timestep, s-1
f = S/V k*ct
#calculate the concentration at the end of this timestep
ct = ct + f* dt
#advance to next timestep
tt = tt + dt
return ct
Transcribed Image Text:import numpy as np import matplotlib.pyplot as plt #A 1-box model #dc/dt = S/V - kc def one_box(S,k,c0, t): #define timestep, minute dt = 120 #Initial condition tt = 0 ct = c0 #Volume of the box V = 1 #1*1*1 km^3 #Start time-stepping loop while tt < t: #calculate the concentration change rate for one timestep, s-1 f = S/V k*ct #calculate the concentration at the end of this timestep ct = ct + f* dt #advance to next timestep tt = tt + dt return ct
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