Formulation and application of optimal homotopty asymptotic method to coupled differential-difference equations.
basic_science · Level V
Where this comes from
- Record sourced from PubMed, PMID 25874457.
- Also identified by DOI 10.1371/journal.pone.0120127 and PMC identifier 4397094.
- Licence recorded as CC BY.
- The licence permits redistribution, so the abstract is shown in full and the full text is available from the publisher.
Abstract
In this paper we applied a new analytic approximate technique Optimal Homotopy Asymptotic Method (OHAM) for treatment of coupled differential-difference equations (DDEs). To see the efficiency and reliability of the method, we consider Relativistic Toda coupled nonlinear differential-difference equation. It provides us a convenient way to control the convergence of approximate solutions when it is compared with other methods of solution found in the literature. The obtained solutions show that OHAM is effective, simpler, easier and explicit.
Medical subject headings
- Mathematical Concepts
- Nonlinear Dynamics