Use eulers Method using matlab with 2 different step sizes. Please show code for both problems.
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8 个评论
madhan ravi
2020-6-14
编辑：madhan ravi
2020-6-14
What did you try? Paste what you have tried.
Kendrick Lolange
2020-6-14
Kendrick Lolange
2020-6-14
Kendrick Lolange
2020-6-14
Ameer Hamza
2020-6-14
How are you calling the function 'euler'? Also, It is better to attach code as text instead of an image. We cannot edit the code using an image.
Kendrick Lolange
2020-6-14
Ameer Hamza
2020-6-15
Original Question asked by Kendrick Lolange:
Title: Use eulers Method using matlab with 2 different step sizes. Please show code for both problems.
Rena Berman
2020-10-12
(Answers Dev) Restored edit
回答（1 个）
Ameer Hamza
2020-6-14
0 个投票
Since this is a homework question, I will not give a complete code. However, I will point you to resources that can help you to understand how to implement the Euler method in MATLAB.
You can download the zip file given in this answer: https://www.mathworks.com/matlabcentral/answers/98293-is-there-a-fixed-step-ordinary-differential-equation-ode-solver-in-matlab-8-0-r2012b#answer_107643 and study the code of ode1.m. It is the implementation of the Euler method provided in very early releases of MATLAB. It is no longer included in MATLAB, but it is still useful to understand the implementation of the Euler method.
Following FEX packages are also helpful to learn about Euler method and its implementation MATLAB:
4 个评论
Kendrick Lolange
2020-6-14
Ameer Hamza
2020-6-14
Following code shows how to solve the two equations in you question. Study this code
figure;
euler(@fcn1, 1, 0.1, 2) % h=0.1
title('y''(x)=2*x*y h=0.1');
figure;
euler(@fcn1, 1, 0.05, 2) % h=0.05
title('y''(x)=2*x*y h=0.05');
figure;
euler(@fcn2, 1, 0.1, 2) % h=0.1
title('y''(x)=(x-y)/(x+2y) h=0.05');
figure;
euler(@fcn2, 1, 0.05, 2) % h=0.05
title('y''(x)=(x-y)/(x+2y) h=0.05');
function euler(func,y0,delt,tf)
t=0:delt:tf;
y(1)=y0;
for i = 1:length(t)-1
y(i+1)=y(i)+delt*func(t(i), y(i));
end
plot (t,y);
xlabel('time')
ylabel('y')
disp(y(end))
end
function dy = fcn1(x, y)
dy = 2*x*y;
end
function dy = fcn2(x, y)
dy = (x-y)./(x+2*y);
end
Kendrick Lolange
2020-6-14
Ameer Hamza
2020-6-14
No, these are the solution at x=2 given by Euler Method. To find the error, you will need to solve the equation analytically.
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