The exponential function method for solving nonlinear ordinary differential equations with constant coefficients on a semi-infinite domain

Chadwick, EA; Hatam, A; Kazem, S

Abstract

A new approach, named the Exponential Function Method (EFM) is used to obtain
solutions to nonlinear ordinary differential equations with constant coefficients in a
semi-infinite domain. The form of the solutions of these problems is considered to be
an expansion of exponential functions with unknown coefficients. The derivative and
product operational matrices arising from substituting in the proposed functions
convert the solutions of these problems into an iterative method for finding the
unknown coefficients. The method is applied to two problems: viscous flow due to a
flow of an incompressible viscous fluid over a stretching sheet. The two resulting
solutions are compared against some standard methods which demonstrates the
validity and applicability of the new approach.

Citation

Chadwick, E., Hatam, A., & Kazem, S. (2016). The exponential function method for solving nonlinear ordinary differential equations with constant coefficients on a semi-infinite domain. Proceedings Mathematical Sciences, 126(1), 79-97. https://doi.org/10.1007/s12044-015-0254-3

• Journal Article Type: Article
• Online Publication Date: Feb 10, 2016
• Publication Date: Feb 10, 2016
• Deposit Date: Dec 1, 2015
• Journal: Proceedings of Mathematical Sciences
• Print ISSN: 0253-4142
• Electronic ISSN: 0973-7685
• Publisher: Indian Academy of Sciences
• Volume: 126
• Issue: 1
• Pages: 79-97
• DOI: https://doi.org/10.1007/s12044-015-0254-3
• Publisher URL: http://dx.doi.org/10.1007/s12044-015-0254-3
• Related Public URLs: http://www.springer.com/mathematics/journal/12044