Solving second order differential equation using euler forward algorithm

Md Rubel Ahmed

2016 6 28

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i need to solve a second order differential equation with writing loop by using euler forward algorithm.i listed my parameter as follows L=62.5e-3; R=200e-3; C=6.25e-6; V_s=60; initial condition : x1(0)=0; x2(0)=0;

now i define my equation as follows x1'=x2; x2'=(1/LC)*V_s-(R/L)*x2- (1/LC) x1; output: y=x1 In the following part i have to program the Euler's method to solve this problem and plot with respect to time and output y. defined some parameter for euler algorithm:

Tsim = 5; % simulate over Tsim seconds h = 0.01; % step size N= Tsim/h; % number of steps to simulation x(1)= 0 ; x(2)= 0; Simulation loop using Euler method for k=1:N How can i apply loop and get the plot from this ?

Input: model function x' = f(x) , simulation step size h, number of steps N to simulate, initial state x(1) Algorithm: for k from 1 to N, x(k+1) = x(k) + h*f(x(k)) end Output: sequence of simulated states x(1), x(2), …, x(N+1). output,y=x1

kindly can anybody help me ?i am new here.