tutorial#5 nonlinear coupled

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ESO 208A: COMPUTATIONAL METHODS IN ENGINEERING Semester I, 2015-16 Tutorial # 5 1. Solve the following system of equations using a) fixed point iteration and b) Newton- Raphson Method (with an approximate error 0.1% ) ݔ ݕݔെ 10 ൌ 0 ݕ3 ݕݔ57 ൌ 0 Start with initial guesses as x = 1.5 and y = 3.5. 2. Consider the following system of equations: 4 ݔ ݕ4ൌ0 ݔ ݕ sinሺ ݔݕሻൌ0 Solve for the system variables using initial guesses as x =1 and y = 0 using Newton- Raphson method (with an approximate error 0.1% ).

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Page 1: Tutorial#5 Nonlinear Coupled

ESO 208A: COMPUTATIONAL METHODS IN ENGINEERING

Semester I, 2015-16

Tutorial # 5

 

1. Solve the following system of equations using a) fixed point iteration and b) Newton-Raphson Method (with an approximate error 0.1% )

10 0 3 57 0

Start with initial guesses as x = 1.5 and y = 3.5.

2. Consider the following system of equations: 4 4 0

sin 0

Solve for the system variables using initial guesses as x =1 and y = 0 using Newton-Raphson method (with an approximate error 0.1% ).