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Fiverr Pro
English
$
USD
I will create scientific computing and simulations in julia
About this Gig
Welcome to My Mathematical Modeling & Simulation Gig!
Are you a researcher, student, or engineer dealing with complex differential equations? Translating theoretical math into working computational models can be frustrating. Thats where I come in.
As a senior Mathematics student specializing in quantitative modeling, I don't just write codeI deeply understand the underlying calculus, linear algebra, and dynamical systems.
What I offer:
- ODE/PDE Solutions: Solving Ordinary & Partial Differential Equations.
- Epidemiological & Biological Models: SIR/SEIR models, Lotka-Volterra, population dynamics.
- Dynamical Systems Analysis: Finding fixed points, Jacobian matrices, eigenvalues, and determining system stability.
- Stochastic Simulations: Implementing exact probabilistic models (e.g., Gillespie algorithm).
- High-Quality Visualizations: Time-series plots, phase portraits, and bifurcations.
Tools & Languages:
- Julia: (DifferentialEquations.jl, ForwardDiff.jl, NLsolve.jl) - Highly recommended for speed!
- Python: (SciPy, NumPy, Matplotlib)
️IMPORTANT: Please message me before placing an order to discuss your equations and specific research goals!
My Portfolio
FAQ
Why do you highly recommend using Julia instead of Python?
While I am proficient in both, Julia is significantly faster for solving differential equations and running complex numerical simulations. Its ecosystem, specifically DifferentialEquations.jl, is the state-of-the-art for scientific computing.
Can you do stochastic (probabilistic) simulations?
Yes! If your population or reaction size is small, deterministic ODEs might not be accurate. I can implement stochastic models using algorithms like the Gillespie algorithm to capture random events.
Will you explain the math behind the code?
Absolutely. If you purchase the Premium package (or add Documentation as an Extra), I will provide a clear breakdown of the steady states, Jacobian matrices, and eigenvalue stability analysis.
