CIV E395 Lecture Notes - Lecture 7: Diffusion Equation, Conservation Law, Backward Euler Method

• School: University of Alberta
• Department: Civil Engineering
• Course: CIV E395
• Professor: Yuntong She

Document Summary

Dependent variables depend on more than one independent variable. Many of the cases that we derived in the first half of the course were idealized during the formulation (ie steady-state) When those idealizations are not included, they are pdes. We will go through 3 examples of pdes: As with fourier problems, include enough terms so that the solution converges. Convergence is when the solution doesn"t change much when adding the next term in the series. Use eigenvalues of g(x) to solve for k. Form general solution by adding together all possible solutions ie. 8. Apply initial condition and fourier series to solve unknown constants. Diffusion equation example: drunk civ e students post-midterms. In 0. 1 hr, there is a 30% chance that any individual student will move 100 m to the left, 30% chance move to the right, and 40% chance stay in place.