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" }, "execution_count": 3, "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) #SoluciĆ³n exacta.\n", "#p+=plot(z[0],where,gridlines=True)\n", "for i in range(1,N+1):\n", " p+=plot(z[i],where,ymin=x1,ymax=x2,color=c[i])\n", "\n", "show(p)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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" }, "execution_count": 2, "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": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ] }, "execution_count": 2, "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": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ] }, "execution_count": 3, "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": 4, "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": 4, "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": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ] }, "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]); show(f)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/html": [ "" ] }, "execution_count": 3, "metadata": { }, "output_type": "execute_result" }, { "data": { "text/html": [ "" ] }, "execution_count": 3, "metadata": { }, "output_type": "execute_result" }, { "data": { "text/html": [ "" ] }, "execution_count": 3, "metadata": { }, "output_type": "execute_result" }, { "data": { "image/png": "97758194b862b5b415a1d55f0ee7eb82b7a74168" }, "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) #SoluciĆ³n 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 (stable)", "language": "sagemath", "name": "sagemath" }, "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": 0 }