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co - 5 Method of separation-of-variables 6 Bessel series...

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D EPARTMENT OF C HEMICAL E NGINEERING University of California, Santa Barbara ChE 230A / ME 244A Fall 2005 Instructor: Prof. Brad Chmelka COURSE OUTLINE Objective: Develop analytical tools to solve elementary partial differential equations and boundary value problems for applications in chemical engineering. 1. Introduction, classification of PDE's. 2. Scaling and dimensional analysis, similarity solutions. 3. Power series solutions. 4. Fourier series, Fourier integrals, and Fourier transforms.
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Unformatted text preview: 5. Method of separation-of-variables. 6. Bessel series and functions. 7. Specialized equations and functions, Greens Function. 8. The 1-D heat equation, the 1-D wave equation, the potential equation. 9. Complex analysis, conformal mapping. 10. Higher dimensions, coordinate transformations. 11. Sturm-Liouville theory, adjoint operators, matrix mechanics. 12. Additional topics (if time permits)....
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