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", "text/plain": [ "Graphics object consisting of 42 graphics primitives" ] }, "execution_count": 1, "metadata": { }, "output_type": "execute_result" } ], "source": [ "def picard_iteration(f, a, c, N):\n", " '''\n", " Computes the N-th Picard iterate for the IVP \n", "\n", " x' = f(t,x), x(a) = c.\n", "\n", " EXAMPLES:\n", " sage: var('x t s')\n", " (x, t, s)\n", " sage: a = 0; c = 2\n", " sage: f = lambda t,x: 1-x\n", " sage: picard_iteration(f, a, c, 0)\n", " 2\n", " sage: picard_iteration(f, a, c, 1)\n", " 2 - t\n", " sage: picard_iteration(f, a, c, 2)\n", " t^2/2 - t + 2\n", " sage: picard_iteration(f, a, c, 3)\n", " -t^3/6 + t^2/2 - t + 2\n", " sage: var('x t s')\n", " (x, t, s)\n", " sage: a = 0; c = 2\n", " sage: f = lambda t,x: (x+t)^2\n", " sage: picard_iteration(f, a, c, 0)\n", " 2\n", " sage: picard_iteration(f, a, c, 1)\n", " t^3/3 + 2*t^2 + 4*t + 2\n", " sage: picard_iteration(f, a, c, 2)\n", " t^7/63 + 2*t^6/9 + 22*t^5/15 + 16*t^4/3 + 11*t^3 + 10*t^2 + 4*t + 2\n", "\n", " '''\n", " if N == 0:\n", " return c*t**0\n", " if N == 1:\n", " #print integral(f(s,c*s**0), s, a, t)\n", " x0 = lambda t: c + integral(f(s,c*s**0), s, a, t)\n", " return expand(x0(t))\n", " for i in range(N):\n", " x_old = lambda s: picard_iteration(f, a, c, N-1).subs(t=s)\n", " #print x_old(s)\n", " x0 = lambda t: c + integral(f(s,x_old(s)), s, a, t)\n", " return expand(x0(t))\n", "v=var('x t s')\n", "a = 0; c = 4; N=40; b=8; x1=-5; x2=10;\n", "f = lambda t,x: sin(t)-2*x; assume(t>0) \n", "z=[picard_iteration(f, a, c, i) for i in range(N+1)]\n", "for i in range(N+1):\n", " show(z[i])\n", "from sage.plot.colors import rainbow\n", "c=rainbow(N+1)\n", "where = [x,-2+1.5,b]\n", "p=plot(-1/5*(cos(t)*e^(2*t) - 2*e^(2*t)*sin(t) - 21)*e^(-2*t),where,ymin=x1,ymax=x2,color='gray',gridlines=True) #Solución exacta.\n", "#p+=plot(z[0],where,gridlines=True)\n", "for i in range(0,N+1):\n", " p+=plot(z[i],where,ymin=x1,ymax=x2,color=c[i])\n", "\n", "show(p)" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Graphics object consisting of 53 graphics primitives" ] }, "execution_count": 1, "metadata": { }, "output_type": "execute_result" } ], "source": [ "N=50;b=1\n", "from sage.plot.colors import rainbow\n", "c=rainbow(N+1)\n", "where = [x,0,b]\n", "p=plot(x^0,where,color='gray',gridlines=True)\n", "for i in range(1,N+1):\n", " p+=plot(x^i,where,color=c[i])\n", "show(p)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ " $\\newcommand{\\Bold}[1]{\\mathbf{#1}}-{\\left(e^{\\left(x + y\\left(x\\right)\\right)} + 1\\right)} e^{\\left(-y\\left(x\\right)\\right)} = C$ " ] }, "execution_count": 3, "metadata": { }, "output_type": "execute_result" } ], "source": [ "x = var('x')\n", "y = function('y')(x)\n", "show(desolve(diff(y,x) - exp(x+y), y))" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ " $\\newcommand{\\Bold}[1]{\\mathbf{#1}}-{\\left(e^{\\left(x + y\\left(x\\right)\\right)} + 1\\right)} e^{\\left(-y\\left(x\\right)\\right)} = -{\\left(e + 1\\right)} e^{\\left(-1\\right)}$ " ] }, "execution_count": 4, "metadata": { }, "output_type": "execute_result" } ], "source": [ "x = var('x')\n", "y = function('y')(x)\n", "f = desolve(diff(y,x) -exp(x+y), y, ics=[0,1]); show(f)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "-1/5*(cos(t)*e^(2*t) - 2*e^(2*t)*sin(t) - 21)*e^(-2*t)" ] }, "execution_count": 5, "metadata": { }, "output_type": "execute_result" } ], "source": [ "t = var('t')\n", "x = function('x')(t)\n", "f = desolve(diff(x,t) -sin(t) + 2*x, x, ics=[0,4]); f" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ " $\\newcommand{\\Bold}[1]{\\mathbf{#1}}-\\frac{1}{5} \\, {\\left(\\cos\\left(t\\right) e^{\\left(2 \\, t\\right)} - 2 \\, e^{\\left(2 \\, t\\right)} \\sin\\left(t\\right) - 21\\right)} e^{\\left(-2 \\, t\\right)}$ " ] }, "execution_count": 6, "metadata": { }, "output_type": "execute_result" } ], "source": [ "t = var('t')\n", "x = function('x')(t)\n", "f = desolve(diff(x,t) -sin(t) + 2*x, x, ics=[0,4]); show(f)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/html": [ " $\\newcommand{\\Bold}[1]{\\mathbf{#1}}1$ " ], "text/plain": [ "1" ] }, "execution_count": 1, "metadata": { }, "output_type": "execute_result" }, { "data": { "text/html": [ " $\\newcommand{\\Bold}[1]{\\mathbf{#1}}-e + e^{\\left(t + 1\\right)} + 1$ " ], "text/plain": [ "-e + e^(t + 1) + 1" ] }, "execution_count": 1, "metadata": { }, "output_type": "execute_result" }, { "data": { "text/html": [ " $\\newcommand{\\Bold}[1]{\\mathbf{#1}}e^{\\left(-e + e^{\\left(t + 1\\right)}\\right)}$ " ], "text/plain": [ "e^(-e + e^(t + 1))" ] }, "execution_count": 1, "metadata": { }, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "Graphics object consisting of 4 graphics primitives" ] }, "execution_count": 1, "metadata": { }, "output_type": "execute_result" } ], "source": [ "def picard_iteration(f, a, c, N):\n", " '''\n", " Computes the N-th Picard iterate for the IVP \n", "\n", " x' = f(t,x), x(a) = c.\n", "\n", " EXAMPLES:\n", " sage: var('x t s')\n", " (x, t, s)\n", " sage: a = 0; c = 2\n", " sage: f = lambda t,x: 1-x\n", " sage: picard_iteration(f, a, c, 0)\n", " 2\n", " sage: picard_iteration(f, a, c, 1)\n", " 2 - t\n", " sage: picard_iteration(f, a, c, 2)\n", " t^2/2 - t + 2\n", " sage: picard_iteration(f, a, c, 3)\n", " -t^3/6 + t^2/2 - t + 2\n", " sage: var('x t s')\n", " (x, t, s)\n", " sage: a = 0; c = 2\n", " sage: f = lambda t,x: (x+t)^2\n", " sage: picard_iteration(f, a, c, 0)\n", " 2\n", " sage: picard_iteration(f, a, c, 1)\n", " t^3/3 + 2*t^2 + 4*t + 2\n", " sage: picard_iteration(f, a, c, 2)\n", " t^7/63 + 2*t^6/9 + 22*t^5/15 + 16*t^4/3 + 11*t^3 + 10*t^2 + 4*t + 2\n", "\n", " '''\n", " if N == 0:\n", " return c*t**0\n", " if N == 1:\n", " #print integral(f(s,c*s**0), s, a, t)\n", " assume(s>0) \n", " x0 = lambda t: c + integral(f(s,c*s**0), s, a, t)\n", " return expand(x0(t))\n", " for i in range(N):\n", " x_old = lambda s: picard_iteration(f, a, c, N-1).subs(t=s)\n", " #print x_old(s)\n", " x0 = lambda t: c + integral(f(s,x_old(s)), s, a, t)\n", " return expand(x0(t))\n", "v=var('x t s')\n", "a = 0; c = 1; N=2; b=.5;\n", "f = lambda t,x: exp(x+t); assume(t>0) \n", "z=[picard_iteration(f, a, c, i) for i in range(N+1)]\n", "for i in range(N+1):\n", " show(z[i])\n", "from sage.plot.colors import rainbow\n", "c=rainbow(N+1)\n", "where = [x,-b,b]\n", "p=plot(-log(abs(-1-exp(-1)+exp(t))),where,color='gray',gridlines=True) #Solución exacta.\n", "#p+=plot(z[0],where,gridlines=True)\n", "for i in range(N+1):\n", " p+=plot(z[i],where,color=c[i])\n", "\n", "show(p)" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ ] } ], "metadata": { "kernelspec": { "display_name": "SageMath 9.2", "language": "sagemath", "metadata": { "cocalc": { "description": "Open-source mathematical software system", "priority": 1, "url": "https://www.sagemath.org/" } }, "name": "sage-9.2", "resource_dir": "/ext/jupyter/kernels/sage-9.2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.15" } }, "nbformat": 4, "nbformat_minor": 4 }