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Explicit Taylor Methods In this livescript, you will learn how To use explicit time stepping methods to solve initial value problems Consider the differential equation \frac{dx}{dt}=k x which can be used to model population growth of a species with unlimited resources. To solve, we may apply separation of variables and integrate to give x(t)=x_{0}e^{kt} where x(0)=x_{0}} is the initial condition. The Explicit Euler Method The idea of the explicit Euler method is that we approximate the the solution using a linear line from x_{n} to x_{n+1} , giving x_{n+1}=x_{n}+\Big(_{}\frac{dx}{dt}\Big)_{t_{n}}\Delta t Since dx/dt is given by definition as kx , we have x_{n+1}=x_{n}+kx_{n}\Delta t So, to march the solution forward in time all we need to is evaluate the gradient, multiply it by the timestep, and add it onto the previous value. Which is quite simple to do in MATLAB. In fact, this is true of all single step explicit methods. For simplicity, we’ll assume that the growth rate is k=1 , and the initial population is x(0)=10 . To code this up, we first need to define the relevant parameters and initialise any arrays k = 1; %Growth rate
dt = 0.01; %Step size
t = 0:dt:10; %Time
x = zeros(size(t)); %Population size
x(1) = 10; %Initial condition Once we’ve done this we can then use our discretised equation to solve for the subsequent time steps. As the number of time steps is fixed, since we’re marching the solution to a fixed point in time, we can use a for loop. for i = 1:length(t)-1
x(i+1) = x(i)+k*x(i)*dt;
end And plotting with the exact solution, we have plot(t,x)
hold on
fplot(@(t) 10.*exp(t),[0,10])
hold off
xlabel(‘t’)
ylabel(‘x’) Along with the error plot(t,abs(x-10.*exp(t)))
xlabel(‘t’)
ylabel(‘Error’) (a) Rerun the code with a smaller time step, see if the solution converges to the exact value. Second Order Taylor’s Method As we’ve seen previously, linear interpolation or extrapolation in this case isn’t too good of an approximation. Instead, in a somewhat similar fashion to spline interpolation, we could use a higher order extrapolation method by using the second derivative at t_{n} as a second degree of freedom. This therefore gives us the iterative formula x_{n+1}=x_{n}+\Delta tf(t_{n},x_{n})+\frac{\Delta t^{2}}{2}\Big(\frac{\partial f}{\partial t}+\frac{\partial f}{\partial x}f(t_{n},x_{n})\Big) The only problem here is that we have to evaluate the partial derivatives of f in order to solve. This can be a problem if f is complicated, but there are methods of approximating the derivative terms such that the order of convergence is equivalent, which we’ll cover later. Evaluating the derivatives, we find that \frac{\partial f}{\partial t} = 0\\
\frac{\partial f}{\partial x}=k Hence, the second order Taylor’s method becomes x_{n+1}=x_{n}+\Delta t k x_{n}+\frac{\Delta t^{2}}{2}k^{2}x_{n} Since only the iterative formula has changed between the two methods, all we have to do to implement the second order Taylor’s method is to change the code snippet within the loop to x(n+1) = x(n)+k*x(n)*dt+(dt^2/2)*k^2*x(n); Which is given by k = 1; %Growth rate
dt = 0.01; %Step size
t = 0:dt:10; %Time
x = zeros(size(t)); %Population size
x(1) = 10; %Initial condition
for n = 1:length(t)-1
x(n+1) = x(n)+k*x(n)*dt+(dt^2/2)*k^2*x(n);
end
plot(t,x)
hold on
fplot(@(t) 10.*exp(t),[0,10])
hold off
xlabel(‘t’)
ylabel(‘x’)
plot(t,abs(x-10.*exp(t)))
xlabel(‘t’)
ylabel(‘Error’)
manual code ready 0.4 figure b37b4ed4-a195-49ab-8a3a-c5580a75d294 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 577 433 6 7 8 9 10 11 6 9 10 11 12 13 14 figure bb72f140-7572-462b-9df5-4fc34830f938 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 577 433 12 13 14 12 15 16 17 figure 1520e304-e258-42e0-99c8-59d509511531 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 577 433 21 22 23 24 25 26 21 28 29 30 31 32 33 figure 0a09bdbc-3c00-4540-ad0a-3dd3ad594e5b 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×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 577 433 27 28 29 27 35 36 37 true false 0 20 20 false false 1 21 21 false false 2 22 22 false false 3 23 23 false true 4 24 24 true true 5 27 29 true false 6 32 32 0 false false 7 33 33 0 false false 8 34 34 0 false false 9 35 35 0 false false 10 36 36 0 false false 11 37 37 0 false false 12 39 39 1 false false 13 40 40 1 false true 14 41 41 1 true false 15 57 57 false false 16 58 58 false false 17 59 59 false false 18 60 60 false false 19 61 61 false false 20 63 65 false false 21 67 67 2 false false 22 68 68 2 false false 23 69 69 2 false false 24 70 70 2 false false 25 71 71 2 false false 26 72 72 2 false false 27 74 74 3 false false 28 75 75 3 false true 29 76 76 3
2020-10-05T12:30:50Z 2020-10-11T02:06:32Z
application/vnd.mathworks.matlab.code MATLAB Code R2020b
9.9.0.1444674 1dbac640-2c5b-41a8-be2f-94b4e36e9331
9.9.0.1467703
R2020b
Aug 26 2020
2314982500