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@dextorious
Created June 21, 2017 22:37
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"using BenchmarkTools, DifferentialEquations, Plots\n",
"pyplot();"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"heateqsystem_ghostpoints (generic function with 1 method)"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"function heateqsystem(t, u, du)\n",
" du[1] = -3.5*u[1] + 4*u[2] - 0.5*u[3]\n",
" @fastmath @inbounds for i in 2 : length(u)-1\n",
" du[i] = u[i+1] - 2*u[i] + u[i-1]\n",
" end\n",
" du[end] = -3.5*u[end] + 4*u[end-1] - 0.5*u[end-2]\n",
" scale!(du, length(u)^2)\n",
"end\n",
"\n",
"function heateqsystem_ghostpoints(t, u, du)\n",
" du[1] = -2*u[1] + 2*u[2]\n",
" @fastmath @inbounds for i in 2 : length(u)-1\n",
" du[i] = u[i+1] - 2*u[i] + u[i-1]\n",
" end\n",
" du[end] = -2*u[end] + 2*u[end-1]\n",
" scale!(du, length(u)^2)\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"test (generic function with 1 method)"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"function test(N)\n",
" h = 1 / (N-1)\n",
" x = collect(0 : h : 1)\n",
" u0 = -(x - 0.5).^2 + 1/12\n",
" tspan = (0., 1.)\n",
" prob1 = ODEProblem(heateqsystem, u0, tspan)\n",
" sol1 = solve(prob1, dense=false, saveat=[0.03, 1.0])\n",
" prob2 = ODEProblem(heateqsystem_ghostpoints, u0, tspan)\n",
" sol2 = solve(prob2, dense=false, saveat=[0.03, 1.0]) \n",
" return x, sol1, sol2, prob1, prob2\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"x, sol1, sol2, prob1, prob2 = test(100);"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"BenchmarkTools.Trial: \n",
" memory estimate: 44.86 KiB\n",
" allocs estimate: 380\n",
" --------------\n",
" minimum time: 26.360 ms (0.00% GC)\n",
" median time: 28.430 ms (0.00% GC)\n",
" mean time: 29.783 ms (0.00% GC)\n",
" maximum time: 65.023 ms (0.00% GC)\n",
" --------------\n",
" samples: 168\n",
" evals/sample: 1"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"@benchmark solve(prob1, dense=false, saveat=[0.03, 1.0])"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"BenchmarkTools.Trial: \n",
" memory estimate: 44.84 KiB\n",
" allocs estimate: 379\n",
" --------------\n",
" minimum time: 20.611 ms (0.00% GC)\n",
" median time: 22.151 ms (0.00% GC)\n",
" mean time: 22.575 ms (0.00% GC)\n",
" maximum time: 49.593 ms (0.00% GC)\n",
" --------------\n",
" samples: 222\n",
" evals/sample: 1"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"@benchmark solve(prob2, dense=false, saveat=[0.03, 1.0])"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
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\" />"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"x, sol1, sol2 = test(20); plot(x, sol1(0.03)); plot!(x, sol2(0.03))"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
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\" />"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot(x, sol1(1.0))"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
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\" />"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot(x, sol2(1.0))"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"analytic_003_middle = 0.0307767;\n",
"analytic_1 = 0.0;"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"N = [10, 15, 20, 25, 30, 35, 40, 45, 50, 60, 70, 80, 90, 100, 150, 200, 300, 400, 500];\n",
"err1_003_middle = zeros(length(N))\n",
"err2_003_middle = zeros(length(N))\n",
"err1_1 = zeros(length(N))\n",
"err2_1 = zeros(length(N))\n",
"for i in 1 : length(N)\n",
" x, sol1, sol2 = test(N[i])\n",
" err1_003_middle[i] = abs(sol1(0.03)[round(Int,N[i]/2)] - analytic_003_middle)\n",
" err2_003_middle[i] = abs(sol2(0.03)[round(Int,N[i]/2)] - analytic_003_middle)\n",
" err1_1[i] = maximum(abs.(sol1(1.0) .- analytic_1))\n",
" err2_1[i] = maximum(abs.(sol2(1.0) .- analytic_1))\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"h = 1 ./ (N.-1);"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
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\" />"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot(h.^2, err1_003_middle); plot!(h.^2, err2_003_middle)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<img 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\" />"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot(h.^2, err1_1); plot!(h.^2, err2_1)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"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
}
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