Solving partial differential equation of second in two variables

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Apurva Suman 2022-1-13

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https://ww2.mathworks.cn/matlabcentral/answers/1628120-solving-partial-differential-equation-of-second-in-two-variables

编辑： Torsten 2022-1-14

how to solve this partial differential equation? here u is a function of r and theta, I know the boundary conditions but how to apply them and solve this equation to get u as a function of r and theta solution.

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Apurva Suman 2022-1-14

Can't i solve to get u as a function of r and theta , and yes how to solve with numerical solver?

Torsten 2022-1-14

编辑：Torsten 2022-1-14

Why spend the effort to use a numerical solver of the result is obvious with the boundary conditions you gave ?

And no: there is no ready-to-use MATLAB solver for 2-dimensional partial differential equations.

You will have to discretize the PDE and use "linsolve" to solve for the values of u in the grid points.

Maybe you could search in the file exchange for "general elliptic partial differential equation on rectangle" or see whether MATLAB's PDE toolbox supports the form of your equation.

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