CIVL 222 Study Guide - Quiz Guide: Heat Flux, Taylor Series, Advection
9 Feb 2016
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Can be used to solve many algebraic expressions as well as some odes and pdes. Advantages: fast (computer time), exact; no error introduced by the solution method. Disadvantages: limited to certain physical conditions eg: homogeneous material, simple geometry. Can be used to solve a greater variety of problems. Advantages: not limited by physical conditions eg: complex geometry, heterogeneous condition. Disadvantages: approximate solution, cpu time can be large: partial differential equations. Order: the order of the highest order partial derivative in the equation. Linearity: is linear if the coefficients depend on the independent variable (x,y) and not the dependent variable u. The general form of a second order pde is: The values of a, b, c can be used to further classify this pde based on the sign of the solution to the equation b2 4ac. Elliptic if < 0, typically describe processes that are occurring at steady state (i. e. no time derivative)
