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Lab Solution Wk 13

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Lab Solution Wk 13

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Lab Solution Wk 13
Topics this document covers:
Mathematical analysis Mathematics Calculus Integral calculus Ordinary differential equations Gaussian function Lagrange's identity Green's theorem
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Topics this document covers:
Mathematical analysis Mathematics Calculus Integral calculus Ordinary differential equations Gaussian function Lagrange's identity Green's theorem
Sample Text:
function fdif N=5; while N<=20; if (N~=15); %solves equation for heat transfer in a cooling fin i=1; L=10; dx=L/N; y0=-0.1; r=10+(dx*i); x=10:dx:20; A=zeros(N); %Initialize vectors to be all zeros B=zeros(N); C=zeros(N); D=zeros(N); %Assign A,B,C,D for i=1: B(1)=-(2+(dx^2)); C(1)=((1/(dx^2))+(1/(2*dx*r))); A(1)=0; D(1)=y0-((1/(dx^2))-(1/(2*dx*r))); % Assign A,B,C,D for i=2 through N-1 for i=2:(N-1); r=10+(dx*i); A(i)=((1/(dx^2))-(1/(2*dx*r))); B(i)=-(2/(dx^2)); C(i)=((1/(dx^2))+(1/(2*dx*r))); D(i)=y0; end %Assign A,B,C,D for i=N i=N; r=10+(dx*i); A(N)=((1/(dx^2))-(1/(2*dx*r))); B(N)=(-2/(dx^2)); C(N)=0; D(N)=y0-((1/(dx^2))+(1/(2*dx*r))); %solve Y1=trisys(A,B,C,D); Y=[y0; Y1']; %Append value in i=0 xv=0:0.01:L; Y y_exact=y0*exp(-xv); plot( x,Y,'o'); legend('numerical solution') if N~=20 figure end end N=N+5; end
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