This chapter provides detailed mathematical derivations related to the diffusion equation, separated into an appendix for clarity. Section 13.1 is guided by the main text Sect. 7.1 . Sections 13.2.1 and 13.2.2 are guided by the main text. Section 13.2.3 is guided by the main text Sect. 7.3.1 . Section 13.2.4 is guided by the main text Sect. 8.3.4 . Section 13.2.5 is guided by the main text Sect. 9.1.1 .

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Appendix C: Derivation of the Diffusion Equation from Random Walk

  • Ryo Maezono

摘要

This chapter provides detailed mathematical derivations related to the diffusion equation, separated into an appendix for clarity. Section 13.1 is guided by the main text Sect. 7.1 . Sections 13.2.1 and 13.2.2 are guided by the main text. Section 13.2.3 is guided by the main text Sect. 7.3.1 . Section 13.2.4 is guided by the main text Sect. 8.3.4 . Section 13.2.5 is guided by the main text Sect. 9.1.1 .