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@shivin9
Last active July 15, 2017 05:53
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{
"cells": [
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Plots.PyPlotBackend()"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"using DifferentialEquations, Plots, PDEOperators\n",
"pyplot()"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"telegrapher (generic function with 3 methods)"
]
},
"execution_count": 48,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"function telegrapher(L, C, R=0, G=0 ;n=100, vs=t->1, is=t->0)\n",
" if L == 0 || C == 0\n",
" error(\"Both the inductance and capacitance need to be non-zero.\")\n",
" end\n",
" return function(t,u,du)\n",
" B2(t,view(u,n+1:2n),view(du,1:n))\n",
" scale!(view(du,1:n), -1/L)\n",
"\n",
" B1(t,view(u,1:n),view(du,n+1:2n))\n",
" scale!(view(du,n+1:2n), -1/C)\n",
" \n",
"# @. u[1:n] += G*u[1:n]\n",
"# @. u[n+1:2n] += R*u[n+1:2n]\n",
" end\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"tline_solve (generic function with 3 methods)"
]
},
"execution_count": 49,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"function tline_solve(u0,vs,is,L,C,R=0,G=0;t=(0.,2.),n=100)\n",
" prob = DifferentialEquations.ODEProblem(telegrapher(L,C,R,G,n=n,vs=vs),u0,t)\n",
" solver = CVODE_BDF()\n",
" sol = DifferentialEquations.solve(prob, solver, reltol=1e-8, abstol=1e-8,saveat=0.01)\n",
" return sol\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {},
"outputs": [],
"source": [
"n = 500;\n",
"dx = 1/(n-1)\n",
"\n",
"B1 = LinearOperator{Float64}(1,2,dx,n,:Dirichlet,:None;bndry_fn=(1,0));\n",
"B2 = LinearOperator{Float64}(1,2,dx,n,:Dirichlet,:None;bndry_fn=(0,0));\n",
"\n",
"u0 = vcat(1,zeros(2n-1));\n",
"\n",
"soln=tline_solve(u0, t -> 1, t->0, 2,2,n=n);"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/html": [
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\" />"
]
},
"execution_count": 51,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot([soln(i)[n+1:2n] for i in 0:0.2:soln.t[end]])"
]
},
{
"cell_type": "code",
"execution_count": 57,
"metadata": {},
"outputs": [
{
"data": {
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\" />"
]
},
"execution_count": 57,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot([soln(i)[1:n] for i in 0:0.2:soln.t[end]])"
]
},
{
"cell_type": "code",
"execution_count": 64,
"metadata": {},
"outputs": [
{
"data": {
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\" />"
]
},
"execution_count": 64,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot(soln(0.2)[1:200])"
]
}
],
"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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