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how to solve hyperbolic partial differential equation in matlab? The image i attached is an ion momentum equation in plasma B= magnetic field, φ = electric potential, u = ion velocity, m = mass of ion.

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You can use either 'hyperbolic' function or 'solvepde' function to solve a hyperbolic partial differential equation.
However, I am not sure whether the equation written above is a hyperbolic partial differential equation though. You might need to resort to using finite element methods or finite volume methods to do this. May I know which of these parameters are known and which needs to be determined?

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