UTK ChE 505 Course Website

University of Tennessee
Department of Chemical Engineering

ChE 505 Course Lecture Notes

I. Evaluation of Integrals

single integrals
- linear
  - analytical solution techniques: not covered in this course
  - numerical solution techniques (review of ChE 301)

multidimensional integrals
- linear
  - analytical solution techniques: not covered in this course
  - numerical solution techniques

II. Integral Equations

single equation
- linear
- non-linear
  - analytical solution techniques: not covered in this course
  - numerical solution techniques: part 1
  - numerical solution techniques: part 2

systems of equations
- linear
  - analytical solution techniques: not covered in this course
  - numerical solution techniques: part 1
  - numerical solution techniques: part 2
- non-linear
  - analytical solution techniques: not covered in this course
  - numerical solution techniques: part 1
  - numerical solution techniques: part 2

III. Integral Equations with more than 1 independent variable

In the series of lecture notes provided above, all of the examples are IEs with 1 independent variable. The methodology used can be straightforwardly extended to IEs with more than 1 independent variables. Given below is one example of how the numerical method employed for solving linear IEs with one independent variable can be used to solve linear IEs with 2 independent variables.

single equation
- linear
  - numerical solution techniques: part 1
  - numerical solution techniques: part 2

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