Application of Adomian decomposition method to nonlinear systems

By Wenjin Li, Yanni Pang. Advances in Differential Equations, 2020

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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.

Subfields: Modeling and Simulation, Numerical Analysis, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/b26d841ca0eaf085fa0b6bc9817b4c6473d7fd77