INTEGRAL TRANSFORM SOLUTIONS OF DIFFUSION-PROBLEMS WITH NONLINEAR EQUATION COEFFICIENTS

被引：36

作者：

SERFATY, R

COTTA, RM

机构：

来源：

INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER | 1990年 / 17卷 / 06期

关键词：

D O I：

10.1016/0735-1933(90)90030-N

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

A hybrid numerical-analytical procedure is described for the accurate and reliable solution of nonlinear diffusion problems due to potential dependent equation coefficients. A sufficiently general formulation of a transient multidimensional problem is first considered, and formal solutions provided in terms of the related transformed potentials, obtained from the numerical solution of a denumerable system of coupled nonlinear ordinary differential equations. An application related to heat conduction with temperature dependent thermal conductivity is then more closely studied, and numerical results presented to illustrate convergence behavior for increasing truncation order of the associated infinite O.D.E. system. © 1990.

引用

页码：851 / 864

页数：14

共 16 条

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