How can I solve system of nonlinear hyperbolic equations

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Sumanta Shagolshem
Sumanta Shagolshem 2020-12-23
评论： Sumanta Shagolshem 2020-12-24
I have to solve 1-D nonlinear hyperbolic pde system but I can't understand how to use extension of lax friedrich scheme for the nonlinear system .
But i solved system of linear hyperbolic pde using characteristic variable but in this problem a dependent variable is included in the jacobian matrix, so i cannot connect it with the linear case.

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Jesús Zambrano
Jesús Zambrano 2020-12-23
Are you using the pdepe command?
Solve System of PDEs - MATLAB & Simulink (mathworks.com)
If so, would it make sense to define f matrix like this?:
f = [-1/u(2); -u(1)] .* dudx;
Another detail, the initial conditions are given but the boundary conditions are missing.
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Sumanta Shagolshem
Sumanta Shagolshem 2020-12-24
I didn't used pdepe command but used fdm and the boundary condition is not given, it should be constructed using some numerical scheme.

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