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@shivin9
Last active July 15, 2017 05:53
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{
"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": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"telegrapher (generic function with 3 methods)"
]
},
"execution_count": 25,
"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",
" end\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"tline_solve (generic function with 3 methods)"
]
},
"execution_count": 55,
"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": 65,
"metadata": {},
"outputs": [],
"source": [
"n = 100;\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,:Dirichlet0,: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": 66,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/html": [
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\" />"
]
},
"execution_count": 66,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot([soln(i)[n+1:2n] for i in 0:0.1:soln.t[end]])"
]
},
{
"cell_type": "code",
"execution_count": 67,
"metadata": {},
"outputs": [
{
"data": {
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\" />"
]
},
"execution_count": 67,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot([soln(i)[1:n] for i in 0:0.1:soln.t[end]])"
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"-226.55942186700688"
],
"text/plain": [
"-226.55942186700688"
]
},
"execution_count": 54,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"soln(1.0)[n-1]"
]
}
],
"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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