Title left Align the Title and write the authors name beneath it

Question

How to left aligned the title, authors and their description:

Answer 1

I suppose you can always format something visually.

\documentclass[3p]{elsarticle}
\begin{document}
\noindent
\begin{minipage}{0.78\textwidth}
\begin{flushleft}
\Large 
Unified solution for the Legendre equation in the interval $[-1,1]$---An 
example of solving singular-ordinary differential equations\\[2ex]
\large 
Quing-Hua Zhang\textsuperscript{a}, Jian Ma\textsuperscript{b,\textasteriskcentered}, 
Yuanyuan Qu\textsuperscript{a}\\[1ex]
\footnotesize
\textsuperscript{a}\emph{The First Institute of Oceanography, \dots}\\
\textsuperscript{b}\emph{College of Marine Sciences, \dots}
\end{flushleft}
\end{minipage}
\end{document}

Answer 2

As Dan said in the comments, you just need to set the correct option in \documentclass, e.g.:

\documentclass[preprint, 5p, lefttitle]{elsarticle}

The full list of options is available at elsevier guide.