{"nbformat":4,"nbformat_minor":0,"metadata":{"kernelspec":{"display_name":"Python 3","language":"python","name":"python3"},"language_info":{"codemirror_mode":{"name":"ipython","version":3},"file_extension":".py","mimetype":"text/x-python","name":"python","nbconvert_exporter":"python","pygments_lexer":"ipython3","version":"3.8.1"},"colab":{"name":"06-ode_03_comparison_with_exact_solution.ipynb","provenance":[],"collapsed_sections":[],"toc_visible":true}},"cells":[{"cell_type":"markdown","metadata":{"id":"2SMRE1ePAcpd"},"source":["# 厳密解との比較: 放射性物質の崩壊"]},{"cell_type":"markdown","metadata":{"id":"0pY5Wy98Acpe"},"source":["## 近似とは?\n","引き続きシミュレーションの話をします。\n","今回のテーマは**近似**です。\n","微分方程式に関しては**離散化**と呼ぶこともあります。\n","\n","- シミュレーションというのはいいし、近似というのもいい。\n","- **実際どのくらいよく近似できているのだろうか?**\n","\n","前回からあなたはこう思っていないでしょうか?\n","実際にこの問題を考えてみましょう。\n","結論から言うと**ちゃんと使えばいい精度が出ます**。\n","\n","- 微分方程式というのはいいけど近似なんて雑なことしたくない!\n","- 近似なんてやって意味あるの? どうせ大雑把で使いものにならないんじゃないの?\n","- 百歩譲って微分方程式は役に立つとしてもその近似計算は本当に役に立つの?\n","\n","こんな疑問に答えるのが今回のテーマです。\n","\n","初回の概要説明でも簡単に紹介した例です。\n","ここではそれを復習しつつ、もう少し詳しく解説します。\n","説明は講座全体の中で少しずつ詳しくしていく形になっていて、\n","今の段階では細かい所は全く説明していません。\n","細部がわからなくても当然です。\n","まずは数学の大きな姿を掴むことに集中してください。"]},{"cell_type":"markdown","metadata":{"id":"7rKBRotRAcpe"},"source":["## 放射性物質の崩壊に関する微分方程式\n","ちょっと不吉な例ではあります。\n","しかしというか残念ながらというか、\n","役に立つ例になってしまった**放射性物質の崩壊に関する微分方程式**を考えてみましょう。\n","いちおう微分方程式から書いておきます。\n","\\begin{align}\n"," \\frac{dx}{dt} =\n"," - c x. \\tag{1}\n","\\end{align}\n","導関数の話をしていないので意味をきちんと理解できなくて当然です。\n","気分だけでも説明しておくと、\n","放射性物質が単位時間あたりに崩壊するスピードはそのときの放射性物質の量に比例することを式で書いた形です。\n","\n","数 $c$ には物理的に大事な意味があります。\n","いわゆる**半減期 (の逆数)** です。\n","式や計算を軽くするためにここでは $c = 1$ にして話を進めます。\n","そして前回と同じくこの微分方程式を近似した式を書いてみます。\n","\\begin{align}\n"," \\frac{x_{n+1} - x_{n}}{h} =\n"," - x_{n}. \\tag{2}\n","\\end{align}\n","これは時間間隔 $h$ が十分小さければ時間 $h$ だけ離れた放射性物質の量\n","$x_{n+1}$ と $x_{n}$ の関係が上の式で書けることを意味しています。\n","\n","ベクトルや数列と比較しやすくするためにこう書きました。\n","次のように書くと微分の定義と比較しやすいでしょう。\n","\n","\n","\\begin{align}\n"," \\frac{x(t + h) - x(t)}{h} =\n"," - x(t). \\tag{2}\n","\\end{align}\n"]},{"cell_type":"markdown","metadata":{"id":"vHqQshrDAcpf"},"source":["## 近似計算はどのくらい正確なの?\n","物理的な話はこのくらいにして、\n","この式にしたがって近似計算 (シミュレーション) したとき、\n","**本当の答えと近似した解がどのくらい近いのか**を考えてみます。\n","何でこれにしたかというと、 もとの方程式の答えが厳密に書けるので比較しやすいからです。\n","\n","あなたが指数関数、 特に自然対数の底 $e$ をご存知なら、\n","式 (1) の答えは $x (t) = C e^{- t}$ と書けます:ここで $C$ は適当な定数です。\n","指数関数の微分をご存知ならこれを (1) に代入してみて、\n","本当に方程式の答えになっていることを確認してみてください。\n","\n","この答えと式 (2) にしたがって計算した答えがどのくらい一致するか、\n","コンピュータに計算させてみましょう。"]},{"cell_type":"markdown","metadata":{"id":"OLccu4RVAcpf"},"source":["## 放射性物質の崩壊\n","先程の式 (1) の厳密解は $x(t) = C_0 e^{-ct}$ です。\n","定数 $C_0$ は初期値、つまり $t=0$ での値を設定すればそこから決まります。\n","\n","導関数を単純に離散化すると次のようになります。\n","\n","\\begin{align}\n"," \\frac{x_{n+1} - x_{n}}{\\Delta t}\n"," =\n"," - x_{n}.\n","\\end{align}\n","\n","ここでは時間らしく見えるよう $\\Delta t$ と書いてみました。\n","高校数学の導関数に合わせて $h$ と書くこともあります。\n","これを整理すると次の用にかけます。\n","\n","\\begin{align}\n"," x_{n+1}\n"," =\n"," x_{n} - \\Delta t \\cdot x_{n}.\n","\\end{align}\n","\n","これに沿って計算したのがいわゆるオイラー法です。\n","プログラムに落としましょう。"]},{"cell_type":"markdown","metadata":{"id":"7-4APTf-Acpg"},"source":["## 厳密解のグラフ\n","まずは厳密解 $x(t) = e^{-t}$ をグラフに描きましょう。\n","初期値は 1 で、上の定数も $c = 1$ としています。"]},{"cell_type":"code","metadata":{"id":"nXeAT19wAcpg","outputId":"db524d98-b3a8-4771-b67e-f656b6ab76bc"},"source":["import numpy as np\n","import matplotlib.pyplot as plt\n","\n","# パラメータ設定\n","c = 1\n","init = 1\n","nt = 100\n","\n","# 厳密解\n","t = np.linspace(0, 2, nt)\n","x_exact = init * np.exp(- c * t)\n","plt.plot(t, x_exact)\n","\n","# 凡例\n","plt.legend(['exact'])\n","# 描画\n","plt.show()"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"id":"-r-sQwZYAcpk"},"source":["## 近次解\n","今度は近次解を計算してグラフにしてみましょう。"]},{"cell_type":"code","metadata":{"scrolled":true,"id":"54e6YcGWAcpk","outputId":"fd52ca70-70f5-4aef-ea8b-fc8a1636e00b"},"source":["import numpy as np\n","import matplotlib.pyplot as plt\n","\n","def radioactive_euler(nt, init = 10):\n"," dt = 2 / (nt - 1)\n"," # 初期条件設定\n"," x = np.zeros(nt)\n"," x[0] = init\n","\n"," for i in range(1, nt):\n"," x[i] = x[i-1] - c * dt * x[i-1]\n","\n"," return x\n","\n","# パラメータ設定\n","c = 1\n","init = 1\n","nt = 101\n","# 近似解\n","x_approx = radioactive_euler(nt, init)\n","plt.plot(np.linspace(0, 2, nt), x_approx)\n","\n","# 凡例\n","plt.legend(['approximation'])\n","# 描画\n","plt.show()"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"id":"_pI8JfyqAcpn"},"source":["## 比較のために重ねる\n","これだけではよくわからないので重ねて描いてみます。"]},{"cell_type":"code","metadata":{"scrolled":true,"id":"Rsh9YukwAcpo","outputId":"2fb7f8ef-e1a5-43c8-995c-22c8f972e7a9"},"source":["import numpy as np\n","import matplotlib.pyplot as plt\n","\n","def radioactive_euler(nt, init = 10):\n"," dt = 2 / (nt - 1)\n"," # 初期条件設定\n"," x = np.zeros(nt)\n"," x[0] = init\n","\n"," for i in range(1, nt):\n"," x[i] = x[i-1] - c * dt * x[i-1]\n","\n"," return x\n","\n","# パラメータ設定\n","c = 1\n","init = 1\n","nt = 100\n","\n","# 近次解\n","x_approx = radioactive_euler(nt, init)\n","plt.plot(np.linspace(0, 2, nt), x_approx)\n","\n","# 厳密解\n","t = np.linspace(0, 2, nt)\n","x_exact = init * np.exp(- c * t)\n","plt.plot(t, x_exact)\n","\n","# 凡例\n","plt.legend(['approximation', 'exact'])\n","# 描画\n","plt.show()"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"id":"vzDnmyStAcps"},"source":["## 比較結果の目視\n","ほぼピッタリ重なって見えます。\n","あくまで何となくではありますが、シミュレーションの精度はけっこう良さそうです。\n","\n","もちろん細かいことを言えば誤差比較に関する議論がいろいろあります。\n","それはもっと進んだお話で、ここでは議論しきれません。\n","現代数学観光ツアーという別の無料講座で議論しているので、そちらも参考にしてください。"]},{"cell_type":"markdown","metadata":{"id":"eEt8_lgWAcps"},"source":["## 近似なんていい加減ことしたくない!\n","ここまで実際に微分方程式の厳密解と近似解を数値的に導き、比較してきました。\n","これで近似解を考えてみるのも面白いかもしれないと思った方もいるでしょう。\n","あなたもそうかもしれません。\n","\n","しかし、もしかするとあなたは「近似なんて雑なことしていいの?」なんて思っているかもしれません。\n","「比較のために重ねる」節のグラフを見るとわかるように、\n","**厳密な解ともよく合っている**のでちゃんと使えば問題ありません。\n","「ちゃんと使う」の「ちゃんと」が難しいと言われればそれはもちろんそうです。\n","\n","せっかくなので分割をどんどん大きくしていって**近似の精度が上がっていく様子**もグラフにしておきます。\n","こういう数値実験も簡単にできるので、ぜひ身につけてください。\n","プログラムが書けるとこういうのもささっとやれます。\n","こんなふうに遊べるのは本当にありがたいです。\n","中高生の頃にこれを知っていたら、\n","数学や物理だけではなくプログラミングにもはまっていたと思います。\n","\n","やってみないとなかなかわからないと思いますが、\n","書いたプログラムで意図通りの結果が出るとけっこう**嬉しい**です。\n","パラメータをいじったり方程式を変えたり、\n","ちょろっといじって遊べる要素も増えて遊べる範囲が広がるのもいいですね。"]},{"cell_type":"markdown","metadata":{"id":"BTiGzfmhAcpt"},"source":["## 細かく刻んだ方がいい近似になるはずだ\n","上のグラフは区間を 100 分割して計算しました。\n","`nt = 101` で分割を指定しています。\n","`101` は分点数の指定なので実際の分割としては 100 等分です。\n","\n","ここで刻みが荒いといい近似にならないことを大雑把に調べておきます。\n","こういう具体的な検証はとても大事です。\n","少しコードをいじるだけで簡単に検証できるので、ぜひご自分でも実験してみてください。\n","\n","同じようなコードを直接書いておくと変更点が見にくくわかりづらいので、\n","比較実験用のプログラムをまとめたセルを作り、\n","それを読み込む形にしました。\n","必ず**次のセルを実行してから**以下のセルを実行するようにしてください。\n","\n","一通り実行してみたら、\n","今度は次のセルを読み、色々変えて数値実験してみてください。\n","手計算では処理しきれない領域で遊べるのが数学プログラミングの面白い所です。"]},{"cell_type":"markdown","metadata":{"id":"NVt_L3qayP2K"},"source":["### 次のセルが読み込むべきコードセル"]},{"cell_type":"code","metadata":{"id":"V8UggY4NyGUZ"},"source":["\"\"\"読み込むべきコードセル\"\"\"\n","import numpy as np\n","import matplotlib.pyplot as plt\n","\n","def compare_radioactive(nt, init = 10):\n"," # 変数設定\n"," c = 1\n"," init = 1\n","\n"," dt = 2 / (nt - 1)\n"," # 初期条件設定\n"," x_approx = np.zeros(nt)\n"," x_approx[0] = init\n","\n"," # 近次解\n"," for i in range(1, nt):\n"," x_approx[i] = x_approx[i-1] - c * dt * x_approx[i-1]\n","\n"," # 近似解の描画\n"," plt.plot(np.linspace(0, 2, nt), x_approx)\n","\n"," # 厳密解\n"," ts = np.linspace(0, 2, 101)\n"," x_exact = init * np.exp(- c * ts)\n"," plt.plot(ts, x_exact)\n","\n"," # 凡例\n"," plt.legend(['approximation', 'exact'])\n"," # 描画\n"," plt.show()"],"execution_count":null,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"SDSeCsGJAcpu"},"source":["## 2 等分\n","もちろんろくな結果になりません。\n","厳密解はオレンジの線、近似解は青い線で描かれています。\n","\n","### 注意\n","上で注意したように「次のセルが読み込むべきコードセル」のコードセルを読み込んでから次のセルを実行してください。"]},{"cell_type":"code","metadata":{"id":"ExgwACIdAcpu","colab":{"base_uri":"https://localhost:8080/","height":265},"executionInfo":{"status":"ok","timestamp":1588379751679,"user_tz":-540,"elapsed":1261,"user":{"displayName":"Yoshitsugu Sekine","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GimsNckrAflr-jMDGQwV_kIJ56EjAWYV8INkpUv=s64","userId":"13524401322013959426"}},"outputId":"15ce50e1-b1e5-4043-ff02-5e7a5a8d06b8"},"source":["compare_radioactive(3, 1)"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"id":"aEqHHeZeAcpw"},"source":["## 4 等分\n","何となくそれっぽい形にはなってはいます。\n","もちろん精度は大したことなく、明らかな違いが簡単に見て取れます。"]},{"cell_type":"code","metadata":{"id":"NhiwsoY0Acpx","colab":{"base_uri":"https://localhost:8080/","height":265},"executionInfo":{"status":"ok","timestamp":1588379759165,"user_tz":-540,"elapsed":930,"user":{"displayName":"Yoshitsugu Sekine","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GimsNckrAflr-jMDGQwV_kIJ56EjAWYV8INkpUv=s64","userId":"13524401322013959426"}},"outputId":"bd3038d6-8a49-4816-f6b9-f4b7f037ddec"},"source":["compare_radioactive(5, 1)"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"id":"btlJ0Q_jAcpz"},"source":["## 10 等分\n","あまり適当なことを言うのも良くないのですが、この縮尺ではけっこう滑らかに見えてきました。\n","精度はまだまだです。"]},{"cell_type":"code","metadata":{"scrolled":true,"id":"ZOrXkKbSAcp0","colab":{"base_uri":"https://localhost:8080/","height":265},"executionInfo":{"status":"ok","timestamp":1588379771154,"user_tz":-540,"elapsed":3209,"user":{"displayName":"Yoshitsugu Sekine","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GimsNckrAflr-jMDGQwV_kIJ56EjAWYV8INkpUv=s64","userId":"13524401322013959426"}},"outputId":"423856e9-ee90-4de2-f38d-e3038f91c09a"},"source":["compare_radioactive(11, 1)"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"id":"h2fzMsqMAcp4"},"source":["## 30 等分\n","精度も良くなってきました。"]},{"cell_type":"code","metadata":{"scrolled":true,"id":"w4327JieAcp4","colab":{"base_uri":"https://localhost:8080/","height":265},"executionInfo":{"status":"ok","timestamp":1588379777698,"user_tz":-540,"elapsed":1284,"user":{"displayName":"Yoshitsugu Sekine","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GimsNckrAflr-jMDGQwV_kIJ56EjAWYV8INkpUv=s64","userId":"13524401322013959426"}},"outputId":"799b3943-3f55-40be-b2a6-a75a40003c36"},"source":["compare_radioactive(31, 1)"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"id":"vDM_n6yMAcp6"},"source":["## 50 等分\n","まだ差が目で見えます。"]},{"cell_type":"code","metadata":{"scrolled":true,"id":"m6hOrqTZAcp7","colab":{"base_uri":"https://localhost:8080/","height":265},"executionInfo":{"status":"ok","timestamp":1588379783100,"user_tz":-540,"elapsed":1616,"user":{"displayName":"Yoshitsugu Sekine","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GimsNckrAflr-jMDGQwV_kIJ56EjAWYV8INkpUv=s64","userId":"13524401322013959426"}},"outputId":"fc0856de-23c0-435c-f36b-ff1bf880170c"},"source":["compare_radioactive(51, 1)"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"id":"1B-GNsKUAcp-"},"source":["## 75 等分\n","かなり良く一致してきました。"]},{"cell_type":"code","metadata":{"scrolled":true,"id":"bZglFbY5Acp-","colab":{"base_uri":"https://localhost:8080/","height":265},"executionInfo":{"status":"ok","timestamp":1588379792234,"user_tz":-540,"elapsed":4839,"user":{"displayName":"Yoshitsugu Sekine","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GimsNckrAflr-jMDGQwV_kIJ56EjAWYV8INkpUv=s64","userId":"13524401322013959426"}},"outputId":"aa3462c1-0d22-4339-9a5d-e9d820b1ef2f"},"source":["compare_radioactive(76, 1)"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"id":"ZDtEHwcsAcqC"},"source":["## 1000 等分\n","100 は最初にやってあるので一気に大きくしてみましょう。"]},{"cell_type":"code","metadata":{"scrolled":false,"id":"s0tQ-A5IAcqC","colab":{"base_uri":"https://localhost:8080/","height":265},"executionInfo":{"status":"ok","timestamp":1588379794252,"user_tz":-540,"elapsed":1103,"user":{"displayName":"Yoshitsugu Sekine","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GimsNckrAflr-jMDGQwV_kIJ56EjAWYV8INkpUv=s64","userId":"13524401322013959426"}},"outputId":"0afb58ce-1bd4-4790-8e88-f7b92a97827c"},"source":["compare_radioactive(1001, 1)"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"id":"-jTexGyMAcqE"},"source":["よく一致している様子が見て取れます。"]},{"cell_type":"markdown","metadata":{"id":"ItvymUdDAcqF"},"source":["## 参考\n","コンピュータで計算するときいろいろな都合があります。\n","実は分割数を多くすれば単純に精度が上がっていくと言うわけでありません。\n","具体的には桁落ちや丸め誤差のような問題があります。\n","それはそれで別途検討する必要があります。"]},{"cell_type":"markdown","metadata":{"id":"2tV0mWszAcqF"},"source":["## Python プログラミングに関する資料\n","数値計算・シミュレーションに関する資料は GitHub に上げてあります。\n","以下のリンク先で随時整理・追記しているので、ぜひあなたもこれで遊んでみてください。\n","\n","- [GitHub 上のファイル集](https://github。com/phasetr/mathcodes)\n","- [nbviewr 上でのファイル集](https://nbviewer。jupyter。org/github/phasetr/mathcodes/tree/master/)"]},{"cell_type":"markdown","metadata":{"id":"GAnZReWSAcqG"},"source":["## 今回の数学的ポイント\n","**指数関数**や**自然対数の底**、はたまたその**導関数**が出てきました。\n","放射性物質の崩壊をちゃんと調べるにはこういう数学が必要なのです。\n","\n","今回のメインパートはここまでです。"]},{"cell_type":"markdown","metadata":{"id":"rm0TqWa3AcqG"},"source":["## 次回は経済や生物ネタです\n","次回はまた別の微分方程式を紹介します。\n","**経済学**や**生物学**で出てくる微分方程式です。\n","これが終わったらもう少し数学的にちゃんとした話をしましょう。\n","まずは微分方程式の射程距離の長さを知ってほしいからです。\n","もっとちゃんと数学の説明してほしいというあなた、\n","もうちょっと我慢してください。"]},{"cell_type":"markdown","metadata":{"id":"QxTJ1qIWAcqG"},"source":["# アンケート\n","毎回アンケートを取っています。\n","質問や要望がある場合もこちらにどうぞ。\n","\n","- [アンケートへのリンク](https://goo.gl/forms/hn7bUP4sblqOkBcI3)\n","\n","アンケートは匿名なので気楽にコメントしてください。\n","直接返事してほしいことがあれば、\n","メールなど適当な手段で連絡してください。"]}]}