Solution to Nonlinear Differential Equation

christoph weihs

2020 7 1

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I want to solve the Equation numerically

but I don't know how to write the code.

D is a square Matrix with constant values.

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christoph weihs 2020-7-2

I have the conditions that f and f' have to be 0 for i=0 and f' is ->1 for i->n

Walter Roberson 2020-7-2

Is that a Mass Matrix?

https://www.mathworks.com/help/symbolic/solve-daes-using-mass-matrix-solvers.html

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Alan Stevens 2020-7-2

在 MATLAB Online 中打开

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Here is some example code using arbitrary data:

f0 = [0; 1; 2];   % initial conditions
tspan = [0 2];    % integration limits
[t, f] = ode45(@rates,tspan,f0);    % ode solver
plot(t,f)  % plot results
% function that calculates rates of change of f 
function dfdt = rates(~,f)
        D = [1 2 3; 0.4 0.2 -0.1; 1.6 1.7 -1.8];
        dfdt = D*f;
end