%[text] # Chapter 2 Exercise Solutions
%%
%[text] ## Exercise 2.1
%[text] 
%[text] $\\begin{array}{c|cccc}\n    0 & 0 \\\\\n    \\frac{1}{4} & \\frac{1}{4} \\\\\n    \\frac{1}{2} & 0 & \\frac{1}{2} \\\\\n    1 & 1 & -2 & 2 \\\\ \\hline\n    & \\frac{1}{6} & 0 & \\frac{2}{3} & \\frac{1}{6}\n\\end{array}$
%%
%[text] ## Exercise 2.2
%[text] $\\begin{array}{rl}\ny\_{n+1} &= y\_n + \\frac{h}{9} (4k\_2 + 3k\_3 + 2k\_4), \\\\\nk\_1 &= f(t\_n, y\_n), \\\\\nk\_2 &= f(t\_n + \\frac{1}{4}h, y\_n + \\frac{1}{4}h k\_1), \\\\\nk\_3 &= f(t\_n + \\frac{1}{2}h, y\_n + h(-\\frac{1}{2}k\_1 + k\_2)), \\\\\nk\_4 &= f(t\_n + h, y\_n + h(\\frac{1}{4}k\_1 + \\frac{3}{4}k\_3)).\n\\end{array}$
%%
%[text] ## Exercise 2.3
syms a21 b1 b2 c2
b1 = 1/3;

% Define order conditions
eq1 = b1 + b2 == 1;
eq2 = b2 * c2 == 1/2;
eq3 = a21 == c2;

% Solve order conditions
solve(eq1, eq2, eq3) %[output:1427f5c8]
%%
%[text] ## Exercise 2.4
%[text] $\\begin{array}{rl}\n    r(\\tau) &= 10, \\\\\n    \\Phi(\\tau) &= \\sum\_{i,j,k,\\ell} b\_i a\_{ij} a\_{ik} a\_{k\\ell} c\_j^3 c\_k c\_\\ell^2, \\\\\n    \\gamma(\\tau) &= 600.\n\\end{array}$
%%
%[text] ## Exercise 2.5
%[text] Using $\\Phi(\\tau) = \\frac{1}{\\gamma(\\tau)}$ then
%[text] $\\begin{array}{rl}\n\\sum\_{i=1}^3 b\_i &= 1, \\\\\n  \\sum\_{i=1}^3 b\_ic\_i &= \\frac{1}{2}, \\\\\n  \\sum\_{i=1}^3 b\_ic\_i^2 &= \\frac{1}{3}, \\\\\n  \\sum\_{i,j=1}^3 b\_ia\_{ij}c\_j &= \\frac{1}{6}, \\\\\n\\end{array}$
%[text] Since $c\_1 = 0$ and $a\_{ij} = 0$ where $i \\leq j$ then the order conditions are
%[text] $\\begin{array}{rl}\n    b\_1 + b\_2 + b\_3 &= 1, \\\\\n    b\_2c\_2 + b\_3c\_3 &= \\frac{1}{2}, \\\\\n    b\_2c\_2^2 + b\_3c\_3^2 &= \\frac{1}{3}, \\\\\n    b\_3a\_{32}c\_2 &= \\frac{1}{6}, \\\\\n    a\_{21} &= c\_2, \\\\\n    a\_{31} + a\_{32} &= c\_3\n\\end{array}$
%%
%[text] ## Exercise 2.6
% Declare symbolic variables
syms a21 a31 a32 a41 a42 a43 b1 b2 b3 b4
c2 = 1/3;
c3 = 1/2;
c4 = 1;

% Define order conditions
eq1 = b1 + b2 + b3 + b4 == 1;
eq2 = b2 * c2 + b3 * c3 + b4 * c4 == 1/2;
eq3 = b2 * c2^2 + b3 * c3^2 + b4 * c4^2 == 1/3;
eq4 = b2 * c2^3 + b3 * c3^3 + b4 * c4^3 == 1/4;
eq5 = b2 * a32 * c2 + b4 * a42 * c2 + b4 * a43 * c3 == 1/6;
eq6 = b3 * a32 * c2 * c3 + b4 * a42 * c2 * c4 + b4 * a43 * c3 * c4== 1/8;
eq7 = b3 * a32 * c2^2 + b4 * a42 * c2^2 + b4 * a43 * c3^2 == 1/12;
eq8 = b4 * a43 * a32 * c2 == 1/24;
eq9 = c2 == a21;
eq10 = c3 == a31 + a32;
eq11 = c4 == a41 + a42 + a43;

% Solve order conditions (note we didn't need eq8)
solve(eq1, eq2, eq3, eq4, eq5, eq6, eq7, eq9, eq10, eq11) %[output:18133a57]
%[text] $\\begin{array}{c|cccc}\n    0 & 0 \\\\\n    \\frac{1}{3} & \\frac{1}{3} \\\\\n    \\frac{1}{2} & \\frac{7}{8} & -\\frac{3}{8} \\\\\n    1 & 0 & -3 & 4 \\\\ \\hline\n    & \\frac{1}{6} & 0 & \\frac{2}{3} & \\frac{1}{6} \n\\end{array}$
%%
%[text] ## Exercise 2.7
%[text] $\\begin{array}{rl}\n    y\_0 &= 1, \\\\ \n    t\_0 &= 0, \\\\ \\\\ \n    k\_1 &= 0.0 - 1.0000 = -1.0000, \\\\ \n    k\_2 &= (0.0 + \\frac{3}{4}(0.4)) - (1.0000 + \\frac{3}{4}(0.4)(-1.0000)) = -0.4000, \\\\ \n    y\_1 &= 1.0000 + \\frac{1}{3}(0.4)(-1.0000 + 2(-0.4000)) = 0.7600,\\\\  \n    t\_1 &= 0.0 + 0.4 = 0.4, \\\\ \\\\ \n    k\_1 &= 0.4 - 0.7600 = -0.3600, \\\\ \n    k\_2 &= (0.4 + \\frac{3}{4}(0.4)) - (0.7600 + \\frac{3}{4}(0.4)(-0.3600)) = 0.0480, \\\\ \n    y\_2 &= 0.7600 + \\frac{1}{3}(0.4)(-0.3600 + 2(0.0480)) = 0.7248,\\\\  \n    t\_2 &= 0.4 + 0.4 = 0.8, \\\\ \\\\ \n    k\_1 &= 0.8 - 0.7248 = 0.0752, \\\\ \n    k\_2 &= (0.8 + \\frac{3}{4}(0.4)) - (0.7248 + \\frac{3}{4}(0.4)(0.0752)) = 0.3526, \\\\ \n    y\_3 &= 0.7248 + \\frac{1}{3}(0.4)(0.0752 + 2(0.3526)) = 0.8289,\\\\  \n    t\_3 &= 0.8 + 0.4 = 1.2, \\\\ \\\\ \n    k\_1 &= 1.2 - 0.8289 = 0.3711, \\\\ \n    k\_2 &= (1.2 + \\frac{3}{4}(0.4)) - (0.8289 + \\frac{3}{4}(0.4)(0.3711)) = 0.5598, \\\\ \n    y\_4 &= 0.8289 + \\frac{1}{3}(0.4)(0.3711 + 2(0.5598)) = 1.0276,\\\\  \n    t\_4 &= 1.2 + 0.4 = 1.6, \\\\ \\\\ \n    k\_1 &= 1.6 - 1.0276 = 0.5724, \\\\ \n    k\_2 &= (1.6 + \\frac{3}{4}(0.4)) - (1.0276 + \\frac{3}{4}(0.4)(0.5724)) = 0.7007, \\\\ \n    y\_5 &= 1.0276 + \\frac{1}{3}(0.4)(0.5724 + 2(0.7007)) = 1.2908,\\\\  \n    t\_5 &= 1.6 + 0.4 = 2.0, \\\\ \\\\ \n\\end{array}$
%%
%[text] ## Exercise 2.8
% Define RK2 function
function [t, y] = rk2(f, tspan, y0, h)

nsteps = floor((tspan(2) - tspan(1)) / h);
m = length(y0);
t = zeros(nsteps + 1, 1);
y = zeros(nsteps + 1, m);
t(1) = tspan(1);
y(1,:) = y0;

for n = 1 : length(t) - 1
    k1 = f(t(n), y(n,:));
    k2 = f(t(n) + 3/4 * h, y(n,:) + 3/4 * h * k1);
    y(n+1,:) = y(n,:) + h / 3 * (k1 + 2 * k2);
    t(n+1) = t(n) + h;
end

end

% Define ODE function
f = @(t, y) t - y;

% Define IVP parameters
tspan = [0, 2]; % boundaries of the t domain
y0 = 1;         % initial values
h = 0.4;        % step length

% Solve IVP
[t, y] = rk2(f, tspan, y0, h);

% Calculate exact solution
exact = @(t) t + 2 * exp(-t) - 1;
texact = linspace(tspan(1), tspan(2), 100);
yexact = exact(texact);

% Plot solution
clf %[output:5a257d51]
hold on %[output:5a257d51]
plot(texact, yexact, 'k'); %[output:5a257d51]
plot(t, y, 'b-o', MarkerFaceColor='b'); %[output:5a257d51]
hold off %[output:5a257d51]
xlabel('$x$', Interpreter='latex') %[output:5a257d51]
ylabel('$y(t)$', Interpreter='latex') %[output:5a257d51]
title('$y = t - y$, $y(0) = 1$', Interpreter='latex') %[output:5a257d51]
legend('Exact', 'RK2', Location='NorthWest') %[output:5a257d51]
axis padded %[output:5a257d51]
%%
%[text] ## Exercise 2.9
% Define RK3 function
function [t, y] = rk3(f, tspan, y0, h)

nsteps = floor((tspan(2) - tspan(1)) / h);
m = length(y0);
t = zeros(nsteps + 1, 1);
y = zeros(nsteps + 1, m);
t(1) = tspan(1);
y(1,:) = y0;

for n = 1 : length(t) - 1
    k1 = f(t(n), y(n,:));
    k2 = f(t(n) + 1/2 * h, y(n,:) + 1/2 * h * k1);
    k3 = f(t(n) + h, y(n,:) + h * (-k1 + 2 * k2));
    y(n+1,:) = y(n,:) + h / 6 * (k1 + 4 * k2 + k3);
    t(n+1) = t(n) + h;
end

end

% Define RK4 function
function [t, y] = rk4(f, tspan, y0, h)

nsteps = floor((tspan(2) - tspan(1)) / h);
m = length(y0);
t = zeros(nsteps + 1, 1);
y = zeros(nsteps + 1, m);
t(1) = tspan(1);
y(1,:) = y0;

for n = 1 : length(t) - 1
    k1 = f(t(n), y(n,:));
    k2 = f(t(n) + 1/3 * h, y(n,:) + 1/3 * h * k1);
    k3 = f(t(n) + 1/2 * h, y(n,:) + h * (1/8 * k1 + 3/8 * k2));
    k4 = f(t(n) + h, y(n,:) + h * (1/2 * k1 - 3/2 * k2 + 2 * k3));
    y(n+1,:) = y(n,:) + h / 6 * (k1 + 4 * k3 + k4);
    t(n+1) = t(n) + h;
end

end

% Solve IVP
[t, y_rk2] = rk2(f, tspan, y0, h);
[t, y_rk3] = rk3(f, tspan, y0, h);
[t, y_rk4] = rk4(f, tspan, y0, h);

% Calculate exact solution
exact = @(t) t + 2 * exp(-t) - 1;
texact = linspace(tspan(1), tspan(2), 100);
yexact = exact(texact);

% Plot solution
clf %[output:169fda16]
hold on %[output:169fda16]
plot(texact, yexact, 'k'); %[output:169fda16]
plot(t, y_rk2, 'b-o', MarkerFaceColor='b'); %[output:169fda16]
plot(t, y_rk3, 'r-o', MarkerFaceColor='r'); %[output:169fda16]
plot(t, y_rk4, 'g-o', MarkerFaceColor='g'); %[output:169fda16]
hold off %[output:169fda16]
xlabel('$x$', Interpreter='latex') %[output:169fda16]
ylabel('$y(t)$', Interpreter='latex') %[output:169fda16]
title('$y = t - y$, $y(0) = 1$', Interpreter='latex') %[output:169fda16]
legend('Exact', 'RK2', 'RK3', 'RK4', Location='NorthWest') %[output:169fda16]
axis padded %[output:169fda16]
%%
%[text] ## Exercise 2.10
% Loop through h values and calculate global truncation errors
hvals = [0.4, 0.2, 0.1, 0.05];
error_rk2 = zeros(1, length(hvals));
error_rk3 = zeros(1, length(hvals));
error_rk4 = zeros(1, length(hvals));
for i = 1 : length(hvals)
    [t, y_rk2] = rk2(f, tspan, y0, hvals(i));
    [t, y_rk3] = rk3(f, tspan, y0, hvals(i));
    [t, y_rk4] = rk4(f, tspan, y0, hvals(i));
    [~, idx] = min(abs(t - 2));
    error_rk2(i) = abs(exact(2) - y_rk2(idx,1));
    error_rk3(i) = abs(exact(2) - y_rk3(idx,1));
    error_rk4(i) = abs(exact(2) - y_rk4(idx,1));
end

% Print table
if true % to keep printed lines together %[output:group:1249f547]
    fprintf('|   h   |   RK2    |   RK3    |   RK4    |') %[output:60f80d61]
    fprintf('|:-----:|:--------:|:--------:|:--------:|') %[output:3d498552]
    for i = 1 : length(hvals)
        fprintf('| %0.3f | %1.2e | %1.2e | %1.2e |\n', hvals(i), error_rk2(i), error_rk3(i), error_rk4(i)) %[output:4e261ead]
    end
end %[output:group:1249f547]
% Plot errors
hold on %[output:903a0fbb]
hplot(1) = loglog(hvals, error_rk2, 'b-o', MarkerFaceColor='b'); %[output:903a0fbb]
hplot(2) = loglog(hvals, error_rk3, 'r-o', MarkerFaceColor='r'); %[output:903a0fbb]
hplot(3) = loglog(hvals, error_rk4, 'g-o', MarkerFaceColor='g'); %[output:903a0fbb]
hold off %[output:903a0fbb]
xlabel('$h$', Interpreter='latex') %[output:903a0fbb]
ylabel('global truncation error') %[output:903a0fbb]
legend(hplot, {'RK2', 'RK3', 'RK4'}, Location='SouthEast') %[output:903a0fbb]
% Estimate errors
if true % to keep printed lines together %[output:group:1f90236e]
fprintf('RK2: n = %0.2f', (log(error_rk2(1)) - log(error_rk2(end))) / (log(hvals(1)) - log(hvals(end)))) %[output:2ae81089]
fprintf('RK3: n = %0.2f', (log(error_rk3(1)) - log(error_rk3(end))) / (log(hvals(1)) - log(hvals(end)))) %[output:064549d2]
fprintf('RK4: n = %0.2f', (log(error_rk4(1)) - log(error_rk4(end))) / (log(hvals(1)) - log(hvals(end)))) %[output:441cc9cb]
end %[output:group:1f90236e]
%%
%[text] ## Exercise 2.11
function [t, y] = rk23(f, tspan, y0, atol, rtol)

m = length(y0);
t = zeros(100000, 1);
y = zeros(100000, m);
t(1) = tspan(1);
y(1,:) = y0;

h = 0.8 * rtol ^ (1/3);
n = 1;
nfail = 0;
while t(n) < tspan(2)

    k1 = f(t(n), y(n,:));
    k2 = f(t(n) + 1/2 * h, y(n,:) + 1/2 * h * k1);
    k3 = f(t(n) + h, y(n,:) + h * (-k1 + k2)); 
    y3 = y(n,:) + h / 6 * (k1 + 4 * k2 + k3); 
    y2 = y(n,:) + h * k2;

    delta = norm(y3 - y2);
    tol = atol + rtol * min(abs(y3));
    if delta < tol
        y(n+1,:) = y3;
        t(n+1) = t(n) + h;
        n = n + 1;
    else
        nfail = nfail + 1;
    end

    r = max(0.1, 0.8 * (tol / delta) ^ (1/3));
    h = min(r * h, tspan(2) - t(n));
end

t(n+1:end) = [];
y(n+1:end,:) = [];

fprintf('Number of successful steps:     %i\n', n - 1)
fprintf('Number of failed steps:         %i\n', nfail)
fprintf('Number of function evaluations: %i\n', (n - 1 + nfail) * 3)

end

% Solve IVP
atol = 1e-6;
rtol = 1e-3;
[t, y] = rk23(f, tspan, y0, atol, rtol); %[output:89f0c7ff]
% Plot solution
clf %[output:0f7cfd61]
hold on %[output:0f7cfd61]
plot(texact, yexact, 'k') %[output:0f7cfd61]
plot(t, y, 'b-o', MarkerFaceColor='b') %[output:0f7cfd61]
hold off %[output:0f7cfd61]
xlabel('$x$', Interpreter='latex') %[output:0f7cfd61]
ylabel('$y(t)$', Interpreter='latex') %[output:0f7cfd61]
title('$y = t - y$, $y(0) = 1$', Interpreter='latex') %[output:0f7cfd61]
legend('Exact', 'RK3(2)', Location='NorthWest') %[output:0f7cfd61]
axis padded %[output:0f7cfd61]

%[appendix]{"version":"1.0"}
%---
%[metadata:view]
%   data: {"layout":"inline"}
%---
%[output:1427f5c8]
%   data: {"dataType":"textualVariable","outputData":{"header":"struct with fields:","name":"ans","value":"    a21: 3\/4\n     b2: 2\/3\n     c2: 3\/4\n"}}
%---
%[output:18133a57]
%   data: {"dataType":"textualVariable","outputData":{"header":"struct with fields:","name":"ans","value":"    a21: 1\/3\n    a31: 7\/8\n    a32: -3\/8\n    a41: 0\n    a42: -3\n    a43: 4\n     b1: 1\/6\n     b2: 0\n     b3: 2\/3\n     b4: 1\/6\n"}}
%---
%[output:5a257d51]
%   data: 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","height":337,"width":560}}
%---
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","height":337,"width":560}}
%---
%[output:60f80d61]
%   data: {"dataType":"text","outputData":{"text":"|   h   |   RK2    |   RK3    |   RK4    |","truncated":false}}
%---
%[output:3d498552]
%   data: {"dataType":"text","outputData":{"text":"|:-----:|:--------:|:--------:|:--------:|","truncated":false}}
%---
%[output:4e261ead]
%   data: {"dataType":"text","outputData":{"text":"| 0.400 | 2.01e-02 | 1.99e-03 | 1.61e-04 |\n| 0.200 | 4.23e-03 | 2.12e-04 | 8.53e-06 |\n| 0.100 | 9.74e-04 | 2.44e-05 | 4.90e-07 |\n| 0.050 | 2.34e-04 | 2.93e-06 | 2.94e-08 |\n","truncated":false}}
%---
%[output:903a0fbb]
%   data: 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","height":337,"width":560}}
%---
%[output:2ae81089]
%   data: {"dataType":"text","outputData":{"text":"RK2: n = 2.14","truncated":false}}
%---
%[output:064549d2]
%   data: {"dataType":"text","outputData":{"text":"RK3: n = 3.13","truncated":false}}
%---
%[output:441cc9cb]
%   data: {"dataType":"text","outputData":{"text":"RK4: n = 4.14","truncated":false}}
%---
%[output:89f0c7ff]
%   data: {"dataType":"text","outputData":{"text":"Number of successful steps:     24\nNumber of failed steps:         2\nNumber of function evaluations: 78\n","truncated":false}}
%---
%[output:0f7cfd61]
%   data: 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","height":337,"width":560}}
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