Is it possible to apply pdepe for a system of two diffusion equations - if d(u2)/dx = 0

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Fyodor Tatarinov 2018-9-17

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https://ww2.mathworks.cn/matlabcentral/answers/419316-is-it-possible-to-apply-pdepe-for-a-system-of-two-diffusion-equations-if-d-u2-dx-0

关闭： MATLAB Answer Bot 2021-8-20

The question is the following. I need to solve a system of two one-dimensional diffusion equations, in which the conductivity for one of the variables is zero (but the conductivity between u(1) and u(2) is nonzero (two-phase medium where the flow goes in one phase and the other acts only as a capacitance). d (u1) / dt = d / dx (F (d (u1) / dx) -f (u1, u2) + S (x, t) d (u2) / dt = f (u1, u2) where f (u1, u2) is the mass transfer between two media. When using pdepe head-on, the answer is: Error using pdepe (line 293) Spatial discretization has failed. Discretization supports only parabolic and elliptic equations, with flux term. Can this somehow be circumvented or do I need to compose my own difference scheme? Thank you