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MATLAB is a high-level technical computing language and interactive environment for algorithm development, data visualization, data analysis and numeric computation. Using the MATLAB product, you can solve technical computing problems faster than with traditional programming languages, such as C, C++ and Fortran.( according to Mathworks)
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Matlab Code Example:
%pde.m% function pde m=0; x=linspace(0,1,10); t=linspace(0,1,10); sol=pdepe(m,@eqn1,@ini,@bc1,x,t); yA=sol(:,:,1); surf(x,t,yA); title('yA(x,t)'); xlabel('Distance x -->'); ylabel('Time t -->'); %bc1.m% function [pl,ql,pr,qr]=bc1(xl,ul,xr,ur,t) pl=[1-ul(1); 1.5-ul(2); ul(3)]; ql=[1; 1; 0]; pr=[0; 0; 0]; qr=[1; 1; 1]; %eqn1.m% function [c,f,s]=eqn1(c,t,u,DuDx) c=[1;1;1]; f=[0.1;0.1;0.1].*DuDx; s=[ -u(1)*(u(2))^2-0.05*u(1);-2*u(1)*(u(2))^2;0];
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