ECE 606 Lecture 19: Numerical Solution of Transport Equation

By Muhammad A. Alam

Purdue University

Published on

Abstract

Outline:
  • Basic Transport Equations
  • Gridding and finite differences
  • Discretizing equations and boundary conditions
  • Conclusion

References

Lundstrom, Mark, A Primer on Semiconductor Device Simulation, online presentation.

Cite this work

Researchers should cite this work as follows:

  • Muhammad A. Alam (2009), "ECE 606 Lecture 19: Numerical Solution of Transport Equation," http://nanohub.org/resources/5819.

    BibTex | EndNote

Time

Location

EE 115, Purdue University, West Lafayette, IN

Tags

ECE 606 Lecture 19: Numerical Solution of Transport Equation
  • ECE606: Solid State Devices Lecture 19: Numerical Solution of Transport Equations 1. ECE606: Solid State Devices Le… 0
    00:00/00:00
  • Outline 2. Outline 9.7
    00:00/00:00
  • Equations to solve … analytical/numerical approach 3. Equations to solve … analyti… 157.13333333333333
    00:00/00:00
  • 1) The Semiconductor Equations 4. 1) The Semiconductor Equations 256.36666666666667
    00:00/00:00
  • 1) The Mathematical Problem 5. 1) The Mathematical Problem 357.6
    00:00/00:00
  • Outline 6. Outline 539.4
    00:00/00:00
  • 2) The Grid 7. 2) The Grid 543.36666666666667
    00:00/00:00
  • Finite Difference Expression for Derivative 8. Finite Difference Expression f… 720.43333333333328
    00:00/00:00
  • The Second Derivative … 9. The Second Derivative … 854.66666666666663
    00:00/00:00
  • Outline 10. Outline 958.86666666666667
    00:00/00:00
  • 2) Control Volume 11. 2) Control Volume 968.9666666666667
    00:00/00:00
  • Discretizing Poisson's Equation 12. Discretizing Poisson's Equatio… 1036.8
    00:00/00:00
  • Discretizing Continuity Equations 13. Discretizing Continuity Equati… 1286.6666666666667
    00:00/00:00
  • Three Discretized Equations 14. Three Discretized Equations 1498.7
    00:00/00:00
  • Numerical Solution – Poisson Equation Only 15. Numerical Solution – Poisson… 1545.2666666666667
    00:00/00:00
  • Boundary conditions 16. Boundary conditions 1591.9666666666667
    00:00/00:00
  • Numerical Solution… 17. Numerical Solution… 1767.1333333333334
    00:00/00:00
  • 3) Uncoupled Numerical Solution 18. 3) Uncoupled Numerical Solutio… 2028.1
    00:00/00:00
  • Summary 19. Summary 2109.0666666666666
    00:00/00:00