I will solve odes, pdes and numerical methods problems in matlab and python
About this Gig
Are you seeking research-level simulations that go beyond surface-level coding?
You've just found your expert.
I specialize in MATLAB and Python modeling of complex systems from partial differential equations (PDEs) and ordinary differential equations (ODEs) to nonlinear dynamics and vector field problems.
My background spans applied mathematics, numerical analysis, and computational mathematics, and I've applied it to problems in fluid dynamics, mechanics, and mathematical biology. I deliver accurate, transparent, and publication-ready simulations that help researchers, engineers, and grad students move forward with confidence.
Whether you already have a clean equation ready to implement, or just a problem description and need help formulating the right mathematical model first I can help with both.
What You'll Get:
Full mathematical model setup (PDEs, ODEs, or hybrid systems)
Numerical implementation using validated schemes (Finite Difference, Runge-Kutta, Spectral methods, etc.)
High-quality plots, animations, or data visualizations
Parameter sensitivity and stability analysis (optional)
Well-commented, reproducible MATLAB or Python code
Optional structured report (LaTeX availab
FAQ
What advanced numerical methods do you use for complex problems?
Finite Difference, Runge-Kutta (RK4/RK45), Spectral methods, Finite Element (on request) — matched to your problem's stiffness and boundary conditions.
Do you provide the derivation, or just the code?
I can include the mathematical derivation and method justification on Standard/Premium tiers, not just working code.
Can you validate results against an analytical or known solution?
Yes, where one exists — this is included in sensitivity/stability analysis on Premium.
What do you need from me to start?
Your equation(s), boundary/initial conditions, and any specific numerical scheme preference (or I'll recommend one).
I don't have a formal equation yet, just a description of the problem — can you still help?
Yes. I can help translate your problem description into the right mathematical model (ODE/PDE) before implementing it — just describe your system and goals when you message me.

