Am writing a program to solve the parabolic inhomogeneous diffusion equation using the backward Euler for the time discretization and the two point flux approximation. My challenge is in the decoupling. can someone help me with relevant materials to help me? The equation is: du/dt - kd2u/dx2 = f Thanks.

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Am writing a program to solve the parabolic inhomogeneous diffusion equation using the backward Euler for the time discretization and the two point flux approximation. My challenge is in the decoupling. can someone help me with relevant materials to help me? The equation is: du/dt - kd2u/dx2 = f Thanks.

MIT 18.03SC Differential Equations
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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