9-001-Text-S-SkinBurnModelNumericalMethods

By Suruchi Singh

Mathematics, Aditi Mahavidayalaya, University of Delhi, Delhi INDIA

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Abstract

The heat equation is an important partial differential equation (PDE) which describes the distribution of heat in a given region over time. Here we learn to solve a heat equation numerically. It is difficult to study the behavior of temperature in problems with interfaces analytically so numerical methods play an important role in solving these. The idea presented here can be used to solve a wide variety of models for non-homogenous inner structure models with partial differential equations.

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Researchers should cite this work as follows:

  • Suruchi Singh (2018), "9-001-Text-S-SkinBurnModelNumericalMethods," https://simiode.org/resources/5019.

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Tags

  1. boundary
  2. conductivity
  3. conservation
  4. difference
  5. fourier
  6. Guide
  7. heat
  8. hyperthermia
  9. interface
  10. layers
  11. long duration (1-2 nights of homework)
  12. MatLab
  13. method
  14. nonhomogenous
  15. numerical
  16. partial differential equations
  17. PDE
  18. piecewise
  19. skin burn
  20. system
  21. Taylor