Numerical solution for multi-term fractional delay differential equations
E. A. A. Ziada
Abstract
In this paper, a multi-term nonlinear delay differential equation (DDE) of arbitrary order is studied.Adomian decomposition method (ADM) is used to solve these types of equations. Then the existence andstability of a unique solution will be proved. Convergence analysis of ADM is discussed. Moreover, themaximum absolute truncated error of Adomian’s series solution is estimated. The stability of the solutionis also discussed.
Topics & Concepts
Adomian decomposition methodMathematicsTerm (time)Convergence (economics)Nonlinear systemStability (learning theory)Delay differential equationSeries (stratigraphy)Mathematical analysisApplied mathematicsDifferential equationDecomposition method (queueing theory)Computer sciencePhysicsDiscrete mathematicsEconomic growthPaleontologyQuantum mechanicsMachine learningBiologyEconomicsFractional Differential Equations SolutionsDifferential Equations and Numerical MethodsNumerical methods for differential equations