Skip to content

Instantly share code, notes, and snippets.

@shivin9
Last active July 14, 2017 11:34
Show Gist options
  • Star 0 You must be signed in to star a gist
  • Fork 0 You must be signed in to fork a gist
  • Save shivin9/124ed1e5ea96792fc8666e0caf32715c to your computer and use it in GitHub Desktop.
Save shivin9/124ed1e5ea96792fc8666e0caf32715c to your computer and use it in GitHub Desktop.
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Plots.PyPlotBackend()"
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"using DifferentialEquations, Plots, PDEOperators\n",
"pyplot()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Demonstrating the correctness of Neumann BC as it is used in Robin BC\n"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<img src=\"data:image/png;base64,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\" />"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"N = 100;\n",
"h_inv = 1/(N-1);\n",
"x = collect(0 : h_inv : 1);\n",
"u0 = -(x - 0.5).^2 + 1/12;\n",
"plot(x,u0)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"left_deriv = sum(first_order_coeffs .* u0[1:4]) = 1.0000000000000107\n",
"right_deriv = -(sum(reverse(first_order_coeffs) .* u0[end - 3:end])) = -0.9999999999999893\n"
]
}
],
"source": [
"first_order_coeffs = [-11/6, 3.0, -3/2, 1/3]*(N-1)\n",
"@show left_deriv = sum(first_order_coeffs.*u0[1:4]);\n",
"@show right_deriv = -sum(reverse(first_order_coeffs).*u0[end-3:end]); # should theoretically be -1\n",
"A = LinearOperator{Float64}(2,2,1/(N-1),N,:Neumann,:Neumann;bndry_fn=(left_deriv, right_deriv));"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"prob1 = ODEProblem(A, u0, (0.,10.));\n",
"sol1 = solve(prob1, CVODE_BDF(), dense=false, tstops=0:0.01:10);"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/html": [
"<img src=\"data:image/png;base64,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\" />"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"derivs_start = []\n",
"derivs_end = []\n",
"NS = length(first_order_coeffs)\n",
"t = 0:0.1:10\n",
"for i in t\n",
" push!(derivs_start, sum(first_order_coeffs.*sol1(i)[1 : NS]))\n",
" push!(derivs_end, -sum(reverse(first_order_coeffs).*sol1(i)[end-NS+1 : end]))\n",
"end\n",
"plot(derivs_start)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<img src=\"data:image/png;base64,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\" />"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot(derivs_end)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Robin BC"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$$ u(1,t) + u'(1,t) = 0$$\n",
"initiliized as $$u(0,0) + u'(0,0)$$"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"A = LinearOperator{Float64}(2,2,1/(N-1),N,:Robin,:Dirichlet;bndry_fn=((1,1,-left_deriv+u0[1]),u0[end]));\n",
"prob1 = ODEProblem(A, u0, (0.,10.));\n",
"# sol1 = solve(prob1, CVODE_BDF(), dense=false, tstops=0:0.01:10); # giving instability error\n",
"# sol_adams = solve(prob1, CVODE_Adams(), dense=false, tstops=0:0.01:10); # giving instability error"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Strangely, it works after we change the domain to [$-\\pi$, $\\pi$]"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"x = collect(-pi : 2pi/1023 : pi);\n",
"u0 = -(x - 0.5).^2 + 1/12;\n",
"first_order_coeffs = [-11/6, 3.0, -3/2, 1/3] * (1023/2π)\n",
"left_deriv = sum(first_order_coeffs.*u0[1:4])\n",
"A = LinearOperator{Float64}(2,2,2π/1023,1024,:Robin,:Dirichlet;bndry_fn=((1,1,-left_deriv+u0[1]),u0[end]));"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"prob1 = ODEProblem(A, u0, (0.,10.));\n",
"sol1 = solve(prob1, dense=false, tstops=0:0.01:10);\n",
"# Strangely it doesn't work with CVODE_BDF() but does with CVODE_Adams()\n",
"sol_CVODE = solve(prob1, CVODE_Adams(), dense=false, tstops=0:0.01:10);"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<img src=\"data:image/png;base64,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\" />"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot(x, [sol1(i) for i in 0:1:10])"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<img src=\"data:image/png;base64,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\" />"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot(x, [sol_CVODE(i) for i in 0:1:10])"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<img src=\"data:image/png;base64,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\" />"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot(x, [sol1(i) for i in 0:1:10].-[sol_CVODE(i) for i in 0:1:10])"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<img src=\"data:image/png;base64,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\" />"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"robin_normal = []\n",
"robin_adams = []\n",
"val_start = -left_deriv + u0[1]\n",
"for i in 0:0.1:10\n",
" push!(robin_normal, (-sum(first_order_coeffs.*sol1(i)[1:4])+sol1(i)[1]-val_start))\n",
" push!(robin_adams, (-sum(first_order_coeffs.*sol_CVODE(i)[1:4])+sol1(i)[1]-val_start))\n",
"end\n",
"plot(robin_normal);\n",
"plot!(robin_adams) # overlapping"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Julia 0.6.0",
"language": "julia",
"name": "julia-0.6"
},
"language_info": {
"file_extension": ".jl",
"mimetype": "application/julia",
"name": "julia",
"version": "0.6.0"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment