Auxiliary Functions for Non‐Stationary One‐Dimensional Diffusion under Forced Convection. Basic Properties and Applications
Peter Kahlig · ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik · 1978
Abstract In the first part, basic properties of a class of functions (called Omega‐functions) are investigated, e.g. series representation, recurrence relation, asymptotic behavior. In the second part, beginning with Section 12, the solution of some versions of the diffusion equation by a series of Omega‐functions is treated. Omega‐functions may be used as auxiliary functions in the case of onedimensional non‐stationary diffusion under forced convection with or without removal process.