Assignment GDB Solution: MTH603 Numerical Analysis

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MTH603 Numerical Analysis Assignment 2 Solution Spring 2013

Question#1                                                                                            Marks 10 Find an equation of a cubic curve which passes through the points (1,-9), (2,-41), (4,-189) and (7,9) using Divided Difference Formula.   Question#2                                                                                             Marks 10 Find interpolation polynomial by Lagrange’s Formula, with the help of following table, x 0 1/6 1/2 f(x) 0 0.5 1 and hence evaluate  f(1/3).     Question#3                                                                                             Marks 10 Find   from the following table, […]

MTH603 Numerical Analysis Assignment 1 Solution Spring 2013

Question#1                                                                                            Marks 10   Find the real solution (root) of the equation  by Bisection method. Perform three iterations only.   Note: Take any interval in which roots of the equation lie.  Solution: q#1  with the interval (0,1)   n x F(x) 1 0 -5 2 1 -7 3 0.5 -5.375 4 0.75 -5.328 5 0.625 -5.380   Question#2                                                                                             Marks 10   Use Regula-Fasli method to […]

MTH603 Numerical Analysis Assignment 2 Solution Fall 2012

Question#1                                                                                            Marks 10 Find an equation of a cubic curve which passes through the points (4,-43), (7, 83), (9,327) and (12, 1053) using Divided Difference Formula.     Question#2                                                                                             Marks 10 Find interpolation polynomial by Lagrange’s Formula, with the help of following table, x 1 2 3 5 f(x) 0 7 26 124   And hence find value of […]

MTH603 Numerical Analysis Assignment 1 Solution Fall 2012

Question#1                                                                                            Marks 10 Perform only three iterations of secant method, round off values up to four decimal places to find the root of Note: All the calculation should be done in the radian mode only.     Question#2                                                                                             Marks 10 Use Regula Falsi (method of false position) to solve the equation Note: Perform only two iterations and round off […]

MTH603 Assignment No. 2 Spring 2012 solution

Question#1                                                                                             Marks 10 A function y=f(x) is given by the following table. x 321.0 322.8 324.2 325.0 f(x) 2.50651 2.50893 2.51081 2.51188   a)      Construct the divided differences table for the above data. b)      Find f(323.5) by Newton’s interpolation polynomial.   Question#2                                                                                             Marks 10 Find  from the following table, x 0.4 0.5 0.6 0.7 0.8 y […]