Adomian Decomposition Method: Examples for Solving Nonlinear Differential Equations

An introductory work on the Adomian Decomposition Method for solving differential equations. The author, R. G. G. Amorim, presents the method and applies it to example problems from physics. The work is published on paperswithcode under an Open Access license.

Use Cases

• Studying the Adomian Decomposition Method based on the introductory description
• Analyzing solutions for a particle's free fall under air resistance based on the described example
• Modeling the dynamics of a simple gravity pendulum based on the described example
• Solving one-dimensional non-uniform transport wave equations based on the described example

Strengths

• Focuses on the Adomian Decomposition Method, a specific analytical technique for nonlinear equations
• Provides concrete examples including free fall, pendulum motion, and wave transport
• Available under an Open Access (green) license

Limitations

• Row count is unknown, which may limit suitability assessment
• Column-level documentation is absent; field semantics must be inferred after download
• Last update date is unknown; freshness unverified

Provenance

Source

paperswithcode

Collection Method

Likely a scholarly paper or tutorial describing the method.