# Develop a computer code

###### .Evaluate the following integrals.
December 12, 2020
###### Develop a computer program using the fully implicit scheme and Gauss–Seidel method
December 12, 2020

1.Develop a computer code sor by using the SOR iterative algorithm and solve the system of equations given . Continue iteration until convergence is reached for all variables with a tolerance limit of “s ¼ 0.01%. Present your results in a summary table for unknown values and associated approximate percent relative error in each iteration.

2.Use the conjugate gradient algorithm to solve the following system of equations.

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(a) Show hand calculations in two iterations.

(b) Develop a computer code cg implementing the conjugate gradient algorithm and solve the system of equations. Continue iterations until all unknowns are accurate to three decimal places, i.e., converged to a specified tolerance of “s ¼ 0.0009. Present the results in a summary table showing values and percent relative error in each iteration step.

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