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General n-dimensional solver of Laplace's equation on a unit line/square/cube.

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ashokolarov/heat

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heat

Implementation of n-dimensional solver for Laplace's equation with the following formulation:

Formulation

using a second-order scheme in space and a Backward Euler scheme in time. To solve the resulting linear system, conjugate gradient method is used.

Examples:

1D solution with initial condition of y(t=0) = 10sin(πx) and diffusion coefficient of 0.1

Formulation

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General n-dimensional solver of Laplace's equation on a unit line/square/cube.

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laplace-equation

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