Tutorial EG501V Computational Fluid Dynamics (AY 2023/24)
Tutorial 4. Linear systems of algebraic equations
(Q1)
a. Consider this linear system of equations
Order the four equations such that the system of equations can be solved efficiently by Gauss elimination.
b. Solve the system by Gauss elimination.
(Q2)
Given the linear system of equations with and solve for by means of an LU decomposition of [A] according to Crout’s method. Write down all steps in the solution process.
(Q3)
Consider with and
Perform. 3 Gauss-Seidel iterations. Take as the starting vector of the iteration process.
FYI: The “exact” solution is