This bash script will compile a static Ffmpeg build with NVENC hardware-accelerated support on Ubuntu in your home directory. You can modify the script to customize the build options as you see fit.

compile-ffmpeg-nvenc.sh

#!/bin/bash

#This script will compile and install a static ffmpeg build with support for nvenc un ubuntu.
#See the prefix path and compile options if edits are needed to suit your needs.

#install required things from apt
installLibs(){
echo "Installing prerequisites"
sudo apt-get update
sudo apt-get -y install git autoconf automake build-essential libass-dev libfreetype6-dev libgpac-dev \
  libsdl1.2-dev libtheora-dev libtool libass-dev libvdpau-dev libvorbis-dev libxcb1-dev libxcb-shm0-dev \
  libxcb-xfixes0-dev pkg-config texi2html zlib1g-dev
}

#Install nvidia SDK
installSDK(){
echo "Installing the nVidia NVENC SDK."
cd ~/ffmpeg_sources
mkdir SDK
cd SDK
wget https://hear360.co/Video_Codec_SDK_8.0.14.zip -O sdk.zip
unzip sdk.zip
cd Video_Codec_SDK_8.0.14
sudo cp Samples/common/inc/* /usr/include/
}

#Compile nasm
compileNasm(){
echo "Compiling nasm"
cd ~/ffmpeg_sources
wget http://www.nasm.us/pub/nasm/releasebuilds/2.13.01/nasm-2.13.01.tar.xz
tar -xf nasm-2.13.01.tar.xz
cd nasm-2.13.01
./configure --prefix="$HOME/ffmpeg_build" --bindir="$HOME/bin"
make -j$(nproc)
make -j$(nproc) install
make -j$(nproc) distclean
}

#Compile libx264
compileLibX264(){
echo "Compiling libx264"
cd ~/ffmpeg_sources
wget http://download.videolan.org/pub/x264/snapshots/last_x264.tar.bz2
tar xjvf last_x264.tar.bz2
cd x264-snapshot*
PATH="$HOME/bin:$PATH" ./configure --prefix="$HOME/ffmpeg_build" --bindir="$HOME/bin" --enable-pic --enable-static
PATH="$HOME/bin:$PATH" make -j$(nproc)
make -j$(nproc) install
make -j$(nproc) distclean
}

#Compile libfdk-acc
compileLibfdkaac(){
echo "Compiling libfdk-acc"
sudo apt-get install unzip
cd ~/ffmpeg_sources
wget -O fdk-aac.zip https://github.com/mstorsjo/fdk-aac/zipball/master
unzip fdk-aac.zip
cd mstorsjo-fdk-aac*
autoreconf -fiv
./configure --prefix="$HOME/ffmpeg_build" --disable-shared
make -j$(nproc)
make -j$(nproc) install
make -j$(nproc) distclean
}

#Compile libvpx
compileLibPvx(){
echo "Compiling libvpx"
cd ~/ffmpeg_sources
wget https://github.com/webmproject/libvpx/archive/v1.6.1.zip
unzip libvpx-1.6.1.zip
cd libvpx-1.6.1
PATH="$HOME/bin:$PATH" ./configure --prefix="$HOME/ffmpeg_build" --disable-examples
PATH="$HOME/bin:$PATH" make -j$(nproc)
make -j$(nproc) install
make -j$(nproc) clean
}

#Compile ffmpeg
compileFfmpeg(){
echo "Compiling ffmpeg"
cd ~/ffmpeg_sources
wget http://ffmpeg.org/releases/ffmpeg-snapshot.tar.bz2
tar xjvf ffmpeg-snapshot.tar.bz2
cd ffmpeg
PATH="$HOME/bin:$PATH" PKG_CONFIG_PATH="$HOME/ffmpeg_build/lib/pkgconfig" ./configure \
  --prefix="$HOME/ffmpeg_build" \
  --extra-cflags="-I$HOME/ffmpeg_build/include" \
  --extra-ldflags="-L$HOME/ffmpeg_build/lib" \
  --bindir="$HOME/bin" \
  --enable-gpl \
  --enable-libass \
  --enable-libfdk-aac \
  --enable-libx264 \
  --enable-libvorbis \
  --enable-libvpx \
  --enable-nonfree \
  --enable-nvenc
PATH="$HOME/bin:$PATH" make -j$(nproc)
make -j$(nproc) install
make -j$(nproc) distclean
hash -r
}

#The process
cd ~
mkdir ffmpeg_sources
installLibs
installSDK
compileNasm
compileLibX264
compileLibfdkaac
compileLibPvx
compileFfmpeg
echo "Complete!"