On approximate closed form solutions of linear ordinary differential equations

F. Viera

Abstract


Approximate closed form solutions of a linear ordinary differential equation are obtained using piecewise approximations of the arbitrary coefficient function. We show how to obtain expressions for the general solution and the eigenvalue equation. An example is given with specific boundary conditions typical of a range of problems in mathematical physics and engineering. The method is robust and accurate and can be used as a complement to standard numerical techniques. The function representing the approximate solution has a simple form and can be used like a standard function in calculations that require the solution of the differential equation.

Full Text:

PDF BibTeX


DOI: http://dx.doi.org/10.21914/anziamj.v47i0.1042



Remember, for most actions you have to record/upload into this online system
and then inform the editor/author via clicking on an email icon or Completion button.
ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.