Variable mesh spline approximation method for solving singularly perturbed turning point problems having boundary layer(s)
The authors consider linear second-order ordinary differential equations where the coefficient of the second-order derivative is small and the boundary values are known and suggest an approximate solution by means of cubic splines. They discuss strategies for generating a mesh according to whether these are one or two boundary layer regions and consider the convergence criteria. Numerical results are given for some particular examples for a varying number of points in the boundary layer and there is a discussion of the results obtained.
linear second-order ordinary differential equations
scientific article; zbMATH DE number 1787776
scientific article