Solution of delay differential equations via a homotopy perturbation method

• Published in: Mathematical and computer modelling Vol. 48; no. 3; pp. 486 - 498
• Main Authors: Shakeri, Fatemeh, Dehghan, Mehdi
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 01.08.2008; Elsevier Science
• Subjects: Applications in mathematical biology and engineering; Delay differential equations; Exact sciences and technology; Homotopy perturbation method; Mathematical analysis; Mathematics; Methods of scientific computing (including symbolic computation, algebraic computation); Numerical analysis; Numerical analysis. Scientific computation; Ordinary differential equations; Sciences and techniques of general use; Delay differential equations; Homotopy perturbation method; Applications in mathematical biology and engineering; Differential equation; Numerical method; Delay equation; Perturbation method; Numerical analysis; Scientific computation; Applied mathematics; Homotopy; Mathematical model; Computer aided analysis

Delay differential equations (denoted as DDE) have a wide range of application in science and engineering. They arise when the rate of change of a time-dependent process in its mathematical modeling is not only determined by its present state but also by a certain past state. Recent studies in such...