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 npimport matplotlib.pyplot as plt#A 1-box model#dc/dt = S/V - kcdef one_box(S,k,c0, t):#define timestep, minutedt = 120#Initial conditiontt = 0ct = c0#Volume of the boxV = 1 #1*1*1 km^3#Start time-stepping loopwhile tt < t:#calculate the concentration change rate for one timestep, s-1f = S/V k*ct#calculate the concentration at the end of this timestepct = ct + f* dt#advance to next timesteptt = tt + dtreturn ct

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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

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