Green element procedures for transport accompanied by nonlinear reaction

Abstract

Certain key characteristics of a general transport process accompanied by a mathematical non-linearity of the governing equation due to the chemical reaction term are studied with a hybrid boundary integral technique known as the Green element method (GEM). The weighting function employed is the singular solution of the one-dimensional Laplace equation, and the non-linearity is resolved by the standard Newton–Raphson and Picard methods. A number of illustrative problems are solved using this algorithm, and in each case, it is simply demonstrated that GEM is both reliable and adequate for the accurate prediction of field variables.