A “Booster method” for singular perturbation problems arising in chemical reactor theory

摘要

A numerical method for singularly perturbed two-point boundary-value problems (BVPs) for second-order ordinary differential equations (ODEs) arising in chemical reactor theory is proposed. In this method, an asymptotic approximation is incorporated into a suitable finite difference scheme to improve the numerical solution. Uniform error estimates are derived when implemented in known difference schemes. Numerical results are presented in support of this claim.