Write Matlab code for Numerical Differentiation using Newton Forward, Backward, and Lagranges formulas?
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Fun = @(x) exp(-x).*sin(3*x);
dFun = @(x) -exp(-x).*sin(3*x)+ 3*exp(-x).*cos(3*x);
x=linspace(0,4,101);
F=Fun(x);
h=x(2)-x(1);
xCentral=x(2:end-1);
dFCenteral=(F(3:end)-F(1:end-2))/(2*h);
xForward=x(1:end-1);
dFForward=(F(2:end)-F(1:end-1))/h;
xBackward=x(2:end);
dFBackward=(F(2:end)-F(1:end-1))/h;
plot(x,dFun(x));
hold on
plot(xCentral,dFCenteral,'r')
plot(xForward,dFForward,'k');
plot(xBackward,dFBackward,'g');
legend('Analytic','Central','Forward','Backward')
3 个评论
John D'Errico
2020-7-28
What is your question? if your code works, then why are you posting your homework? So you must have a question in this somewhere.
Muhammad Owais
2020-7-28
Muhammad Owais
2020-7-29
回答（0 个）
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2020-7-28
2020-7-29
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