Web Reference: In numerical analysis and scientific computing, the backward Euler method (or implicit Euler method) is one of the most basic numerical methods for the solution of ordinary differential equations. Repeat Example 1above using the implicit Euler method. When , the IVP is given by: Given a value for at , and taking , the estimate for can be calculated according to the formula: With million and years, the estimate for the population at years using the implicit Euler method is given by: at years, the value of in millions is given by: Proceeding i... % Backward Euler Method with MATLAB % Solves IVP-ODE using implicit Euler's method % Equation to solve: y'=(1+2*t)*sqrt(y); y(0)=1; t=[0,1]; % Author: Marco Arocha; File: EulerBackward.m
YouTube Excerpt: Math 170C - Numerical
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