Abstract

Part I of this series [J. Math. Phys. 9, 1722 (1968)] introduced in detail the general method of transforming integrodifferential transport equations to partial differential equations. The treatment there is restricted to isotropic transport in slab geometry. This part extends the method to time-dependent anisotropic transport for slab geometry. Generating functions are used as an analytic tool to define appropriate transformations whose inverses are known. The general solution of the transport equation considered are expressed in terms of expansion modes. The expansion coefficients are determined by a combination of Fourier transforms and orthogonality relations. Fourier transforms in the time variable are used instead of the usual Laplace transforms. The solutions of the initial-value problem and its analog with the role of space and time interchanged are given.

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