A class of simple exponential B-splines and their application to numerical solution to singular perturbation problems
The authors consider an application of simple exponential splines to the numerical solution of singular perturbation problem: \(\epsilon y''+b(x)y'-d(x)y=f(x),\) (0\(\leq x\leq 1)\), \(y(0)=\alpha\), \(y(1)=\beta\). More specifically, they propose a numerical scheme of collocation type using fourth order exponential splines. After giving the convergence theorem of order two for the numerical solution, they show two numerical examples to exhibit the less computational effort of their method than those of other methods of exponential type.
scientific article; zbMATH DE number 4108077