Suppose n f denotes the value of then find the value of
Let $t_n=t$. Then $$ f_n=t^3,\qquad _________ _________ ______ _____ _____ ____ ____ _____ ____ _______.
___ _____ ______ ______ _____ ____ ____ _________ _____ ___.
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The solution of the system of equations is attempted by the Gauss
Jacobi and Gauss Seidel iteration schemes. Set up the two schemes in matrix form. Will the iteration schemes converge? Justify your answer.
Find the minimum number of intervals required to evaluate with an accuracy of
by using the Trapezoidal rule.
Use Runge-Kutta method of order four to solve carry to x =1.5 with h = 0.1.
Find an appropriate root of with 10-5 accuracy by
i) Newton Raphson Method
ii) Secant Method
What conclusions can you draw from here about the two methods?
The equation has a positive root in the interval ]1, 2[. Write a fixed point iteration method and show that it converges. Starting with initial approximation x = 1.5 find the root of the equation correct to three decimal places.
Find the solution of the difference equation the particular solution when
Determine a unique polynomial f(x) of degree 3 such that