ECE 606 L18.3: Semiconductor Equations - Numerical Solutions

By Gerhard Klimeck

Electrical and Computer Engineering, Purdue University, West Lafayette, IN

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Researchers should cite this work as follows:

  • Gerhard Klimeck (2023), "ECE 606 L18.3: Semiconductor Equations - Numerical Solutions," https://nanohub.org/resources/37150.

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ECE 606 L18.3: Numerical Solutions
  • Sect.ion 18.3 Numerical Solutions 1. Sect.ion 18.3 Numerical Soluti… 0
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  • Section 18 Semiconductor Equations 2. Section 18 Semiconductor Equat… 13.246579913246581
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  • Preface 3. Preface 25.492158825492158
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  • Equations to be solved 4. Equations to be solved 110.67734401067734
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  • 1) The Semiconductor Equations 5. 1) The Semiconductor Equations 129.662996329663
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  • 1) The Mathematical Problem 6. 1) The Mathematical Problem 367.43410076743413
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  • Section 18 Semiconductor Equations 7. Section 18 Semiconductor Equat… 460.92759426092761
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  • Section 18 Semiconductor Equations 8. Section 18 Semiconductor Equat… 464.39773106439776
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  • 2) The Grid 9. 2) The Grid 469.33600266933604
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  • Finite Difference Expression for Derivative 10. Finite Difference Expression f… 563.46346346346354
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  • The Second Derivative … 11. The Second Derivative … 628.7287287287287
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  • Section 18 Semiconductor Equations 12. Section 18 Semiconductor Equat… 704.17083750417089
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  • Section 18 Semiconductor Equations 13. Section 18 Semiconductor Equat… 715.3820487153821
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  • 2) Control Volume 14. 2) Control Volume 727.59426092759429
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  • Discretizing Poisson's Equation 15. Discretizing Poisson's Equatio… 759.62629295962631
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  • Discretizing Continuity Equations 16. Discretizing Continuity Equati… 977.74441107774442
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  • Three Discretized Equations 17. Three Discretized Equations 1101.6016016016017
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  • Numerical Solution – Poisson Equation Only 18. Numerical Solution – Poisson… 1123.3566900233568
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  • Boundary conditions 19. Boundary conditions 1209.4094094094094
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  • Section 18 Semiconductor Equations 20. Section 18 Semiconductor Equat… 1292.8928928928929
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  • Section 18 Semiconductor Equations 21. Section 18 Semiconductor Equat… 1306.74007340674
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  • Numerical Solution… 22. Numerical Solution… 1309.6763430096764
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  • 3) Uncoupled Numerical Solution 23. 3) Uncoupled Numerical Solutio… 1511.1778445111779
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  • Summary 24. Summary 1620.4537871204539
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  • Section 18 Semiconductor Equations 25. Section 18 Semiconductor Equat… 1669.7364030697365
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