differential-equations
CommunityUnified ODE/PDE modeling toolkit.
Education & Research#modeling#PDE#ODE#differential-equations#phase-plane#stability-analysis#equilibria
AuthorSPIRAL-EDWIN
Version1.0.0
Installs0
System Documentation
What problem does it solve?
This skill provides a unified framework to build, analyze, and solve differential equation models (ODEs and PDEs), enabling scientists to reason about dynamics, equilibria, and stability with a common interface.
Core Features & Use Cases
- Unified API: A single ODEModel class to define, solve, analyze, and fit multiple differential equation systems (logistic growth, Lotka-Volterra, SIR, reaction-diffusion, etc.).
- Analysis Toolkit: Equilibrium search, Jacobian calculation, linear stability classification, phase-plane visualization, and bifurcation exploration.
- Model Library & Extensions: Pre-built models and templates that can be extended to custom equations and higher dimensions for spatial problems.
Quick Start
Use the differential-equations skill to build a simple LogisticModel, set r=0.5, K=100, initial N=10, and solve from t=0 to 20 to observe growth dynamics.
Dependency Matrix
Required Modules
None requiredComponents
Standard package💻 Claude Code Installation
Recommended: Let Claude install automatically. Simply copy and paste the text below to Claude Code.
Please help me install this Skill: Name: differential-equations Download link: https://github.com/SPIRAL-EDWIN/MCM-ICM-2601000/archive/main.zip#differential-equations Please download this .zip file, extract it, and install it in the .claude/skills/ directory.
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