ENGR 391 Final: ENGR 391 Final Exam 2008 Winter B
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Problem 1 [solving nonlinear equations] [20 marks: practice. Solve the following nonlinear equation using the secant method with x0=0 and x1=1: xf. Sketch the bisection and the newton-raphson method. Problem 2 [solving systems of linear equations] [40 marks: practice. Engr 391 final exam a- using lu decomposition b- using gauss-seidel method (3 iterations), choose as initial guesses: y=z=0 c- check your results d- compare the two methods: theory. Problem 3 [numerical integration] [20 marks: practice. Using multi-segment simpson"s (1/3) rule and a step equal 0. 25: theory. Improper integrals (integrals with at least one limit equal to infinity) can not be computed with numerical algorithms. To increase the accuracy of the computation of an integral using a quadrature formula, one has normally to reduce the step-size (increase the number of segments for a multi-segment version of the quadrature formula). What do you think about the following statement: Problem 4 [solving ordinary differential equations] [20 marks: practice.
