Dear Writer, I need a research paper about numerical analysis of an ordinary dif

Dear Writer,
I need a research paper about numerical analysis of an ordinary differential equation, solution or finding eigenvalues or eigenfunctions of a differential operator. You can choose any numerical method and any operator/equation arising in physics, biology, finance etc. Assignment topic is changeable, it depends on the problem you will choose.
Paper will be submitted to an indexed journal.
Thank you.