The 2D Heat Equation on a Square;

Homogeneous Dirichlet Boundary Conditions

$exp(-2\; t)\; sin(x)\; sin(y)$	$exp(-5\; t)\; sin(2x)\; sin(y)$	$exp(-10\; t)\; sin(3x)\; sin(y)$
$exp(-5\; t)\; sin(x)\; sin(2y)$	$exp(-8\; t)\; sin(2x)\; sin(2y)$	$exp(-13\; t)\; sin(3x)\; sin(2y)$
$exp(-10\; t)\; sin(x)\; sin(3y)$	$exp(-13\; t)\; sin(2x)\; sin(3y)$	$exp(-18\; t)\; sin(3x)\; sin(3y)$

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