An almost fourth order uniformly convergent difference scheme for a semilinear singularly perturbed reaction-diffusion problem
The singularly perturbed boundary value problem \(-\varepsilon^ 2 u''(x) + b(x,u) = 0\), \(u(0) = u(1) = 0\) is solved under the validity of the condition \(b_ u (x,u) \geq K > 0\). A finite difference method is used that has almost fourth order of accuracy uniform in \(\varepsilon\).
scientific article; zbMATH DE number 770170