SOLUTION OF DELAY DIFFERENTIAL       EQUATIONS VIA HOMOTOPY PERTURBATION METHOD

MOLLA, AMSALU

dc.contributor.author	MOLLA, AMSALU
dc.date.accessioned	2021-10-12T08:46:25Z
dc.date.available	2021-10-12T08:46:25Z
dc.date.issued	2021-10-11
dc.identifier.uri	http://ir.bdu.edu.et/handle/123456789/12711
dc.description.abstract	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 diverse ﬁelds as biology, economy, physics and economics have shown that DDEs play an important role in explaining many different phenomena. In particular they turn out to be fundamental when ODE-based models fail. In this research, the solution of a delay differential equation is presented by means of a homotopy perturbation method. This method is used for solving m order delay differential equation by introducing homotopy parameter say p which is taken the values from 0 to 1.This can be done by constructing a convex homotopy to solve non- linear equations without need of linearization process. Then the coefficients of like powers of the parameter p are equated. After this procedure, the m ii th order delay differential equations were integrated m times to find each approximate solution by using the initial conditions. In general, three examples are forwarded and evaluated. These results reveal that the proposed method is very effective and simple to perform and it provides speedy iterations convergence towards to the exact solution.	en_US
dc.language.iso	en_US	en_US
dc.subject	Mathematics	en_US
dc.title	SOLUTION OF DELAY DIFFERENTIAL EQUATIONS VIA HOMOTOPY PERTURBATION METHOD	en_US
dc.type	Thesis	en_US