The answer to the following question suggested by @IanThompson with left and right column numbers works sufficiently when we use \documentclass[twocolumn]{article}
However I am using a different document class - that being {scrartcl} and cannot get the left column to have line numbers to the left and vice versa for the right coulmn.
Here is some generic code, to work with:
\documentclass[10pt,a4paper]{scrartcl}
\usepackage[utf8]{inputenc}
\usepackage[margin=2.5cm]{geometry}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{graphicx}
\usepackage{booktabs}
\usepackage{multicol}
\usepackage{hyperref}
%\usepackage[switch, columnwise]{lineno}
\usepackage{lineno}
\usepackage{setspace}
\usepackage{lipsum}
\title{Correct formatting line numbers}
\author{Contributions from the world wide web}
\begin{document}
\maketitle
\doublespacing
\begin{abstract}
\begin{linenumbers}
\lipsum[1-1]
\end{linenumbers}
\end{abstract}
\begin{multicols}{2}
\begin{linenumbers}
\section{Introduction}
\lipsum[1-3]
\end{linenumbers}
\end{multicols}
\end{document}
As suggested in the linked question at the top of the page, playing around with columnwise in \usepackage[switch, columnwise]{lineno} does not produce the desired output

twocolumnglobally and kick outmulticol. – Johannes_B Jan 10 '16 at 10:05