function [time_array, Vout_array] = ralston(R, L, Vin, current_initial, step, t_final) % Determine how many times to step forward N = round(t_final/step); % Initialise some arrays for the output current_array=zeros(1,N); time_array=zeros(1,N); current_array(1) = current_initial; Vout_array(1) = Vin(0) - R*current_initial; % Given the input voltage as a function of time we can express % dI/dt (dcurrent_dt) as a function of time as well (given R and L) dcurrent_dt = @(t, I) (Vin(t) - I*R)/L; % Loop as many times as step allows and: % calculate the gradient at point % Use it to emtimate next two points for j=1:N-1 % loop N-1 times grad = feval(dcurrent_dt, time_array(j), current_array(j)); current_array(j+1)=current_array(j) + step/4*(grad + 3*feval(dcurrent_dt, time_array(j)+2/3*step, current_array(j)+2/3*step*grad)) ; time_array(j+1) = time_array(j) + step; Vout_array(j+1) = Vin(time_array(j+1)) - R*current_array(j+1); end