High Accuracy Computational Method for Ordinary Differential Equation with Two Small Parameters
Ordinary differential equation with two small parameters was considered. Since the presence of two small parameters, the solution of the problem will change rapidly near both sides of the boundary layer. Firstly, the equation was decomposed into several equations in order to have fourth order asymptotic decomposition. The asymptotic properties of all these equations were discussed. Secondly, high order numerical methods were constructed for left side and right side singular component. Thirdly, a class of high numerical methods were presented when the special case. Finally, the error estimations for all these numerical methods were given.
X. Cai "High Accuracy Computational Method for Ordinary Differential Equation with Two Small Parameters", Advanced Materials Research, Vols. 179-180, pp. 64-69, 2011