Numerical Solution of a System of Ordinary and Non-Linear Partial Differential Equations.

Abstract

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Study of Non-Linear Dirichlet Problems.

“…If the Dirichlet conditions of (7) are replaced by mixed boundary conditions, (7) describes a system that arises in corrosion-diffusion problems. In particular, examples of such problems and their numerical solutions can be found in [9] an~ [10]. ., t Laboratory.…”

“…where R, R 1 , and 6 are as in Part I, $ and ~ are non-negative continuous functions and (8) and (9) g(u,v) --where c., i=l, •.. , 4, are positive constants.…”