Infinite body, rectangular coordinate, steady 1-D.

X00 Infinite body, - $\infty$ < x < $\infty$. Note that this geometry requires a pseudo GF, denoted H. The temperature solution found from a pseudo GF requires that the total volumetric heating sums to zero and the spatial average temperature in the body must be supplied as a known condition.

$$\left\vert\vphantom{ \,x^{\prime }}\right. \prime \left.\vphantom{ \,x^{\prime }}\right. \left\{\vphantom{ \begin{array}{cc} (x^{\prime }-x)/2 & \text{fo... ...{\prime } \\ (x-x^{\prime })/2 & \text{for }x>x^{\prime } \end{array} }\right. \begin{array}{cc} (x^{\prime }-x)/2 & \text{for }x<x^{\prime } \\ (x-x^{\prime })/2 & \text{for }x>x^{\prime } \end{array} \left.\vphantom{ \begin{array}{cc} (x^{\prime }-x)/2 & \text{for... ...{\prime } \\ (x-x^{\prime })/2 & \text{for }x>x^{\prime } \end{array} }\right.$$