i try to solve RLC circuit i got voltage and current in the circuit as a plot i want to calculate power in the circuit usiing simpsons rule
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function AMfixed4order h = 0.1; T = 1:h:100; YAB = [ 0 0 0 0 0 0 0 0]
YAM = [ 0 0 0 0 0 0 0 0]
YAB(:, 3) = YAB(:, 4) - h*F(T(1)-h, YAB(:, 4)); YAM(:, 3) = YAM(:, 4) - h*F(T(1)-h, YAM(:, 4)); YAB(:, 2) = YAB(:, 3) - h*F(T(1), YAB(:, 3)); YAM(:, 2) = YAM(:, 3) - h*F(T(1), YAM(:, 3)); YAB(:, 1) = YAB(:, 2) - h*F(T(1)-h, YAB(:, 2)); YAM(:, 1) = YAM(:, 2) - h*F(T(1)-h, YAM(:, 2));
for i = 1:length(T)-1
% 4rd order multistep Adams-Bashforth
YAB(:, 4+i) = YAB(:, 3+i) + h*(55/24*F(T(i),YAB(:, 3+i)) - 59/24*F(T(i)-h, YAB(:, 3+i-1)) + 37/24*F(T(i)-2*h, YAB(:, 3+i-2)) - 9/24*F(T(i)-3*h, YAB(:, 3+i-3)));
YAM(:, 4+i) = YAB(:, 4+i) + h*(9/24*F(T(i),YAM(:, i+3)) + 19/24*F(T(i),YAM(:, i+1))- 5/24*F(T(i),YAM(:, i+2)) + 1/24*F(T(i), YAM(:, i+3)));
% YAM(:, 3+i) = YAB(:, 3+i) + h*(5/12*F(T(i), YAM(:, i+2)) + 8/12*F(T(i),YAM(:,i)- 1/12*F(T(i),YAM(:,i+1))))
%YA(:,i+1) =rlc_1(T(i));
end
plot(T, YAM(1,4:end) ,T, YAM(2,4:end))
% A = sum(abs(YAM(1,4:end)- YA(1,:)))*h
%B = sum(abs(YAM(2,4:end)- YA(2,:)))*h
end
function dY = F(t, Y)
L = 2;
C = 0.6;
R = 5;
E = 10;
dY = [1/L *(E-Y(2)) 1/(R*C) * (E - Y(2) + R*Y(1))]; end
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