Application of Adomian decomposition method to nonlinear systems
Wenjin Li, Yanni Pang
Abstract
Abstract In this paper, we study the Adomian decomposition method (ADM for short) including its iterative scheme and convergence analysis, which is a simple and effective technique in dealing with some nonlinear problems. We take algebraic equations and fractional differential equations as applications to illustrate ADM’s efficiency.
Topics & Concepts
Adomian decomposition methodMathematicsNonlinear systemPartial differential equationConvergence (economics)Decomposition method (queueing theory)Algebraic equationOrdinary differential equationApplied mathematicsSimple (philosophy)Algebraic numberDecompositionScheme (mathematics)Mathematical analysisDifferential equationDiscrete mathematicsBiologyEconomic growthEcologyPhilosophyEpistemologyPhysicsEconomicsQuantum mechanicsFractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsNonlinear Waves and Solitons