Partial Differential Equations Course
Master 2D heat diffusion through parabolic models, separation of variables, eigenfunction expansions, and practical applications in numerical settings for real devices.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This Partial Differential Equations Course provides a focused, practical way to master 2D heat diffusion. You will explain the parabolic model, prepare domains and mixed boundaries, use separation of variables, and create eigenfunction expansions. Learn to show localised initial data, study long-time decay, estimate real time scales, and link exact solutions to useful numerical settings in actual devices.
Elevify advantages
Develop skills
- Examine PDE steady states: confirm zero solutions and long-time decay rates.
- Solve 2D heat equations: prepare domains, boundary data, and physical models quickly.
- Use separation of variables: create eigenproblems and orthogonal mode bases.
- Build Fourier series solutions: calculate coefficients and put together modal sums.
- Estimate thermal time scales: apply k, L, H to foresee quick convergence to steady.
Suggested summary
Before starting, you can change the chapters and the workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
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