Project for Numerical Analysis/matlab Program
Problem 1: Linear System
(1) Program M-files for solving both upper triangular system by back-substitution and lower triangular system by forward substitution;
(2) Program an M-file for LU decomposition with partial pivots.
Problem 2: Non-Linear Equations
(1) Program M-files for bisection method, Newton’s method and Secant method for finding roots of equations
(2) Applying the above programs for the equation for 8 steps of iteration, with the numbers in Format Long.
Problem 3: Numerical Integration
(1) Program M-files for the composite mid-point rule, composite trapezoid rule and composite Simpson’s rule;
(2) Applying the above to compute with ,
Problem 4: ODE-IVP
(1) Program M-files for Euler method and Runge-Kutta method for solving ODE.
(2) Applying the above for on the interval with