Exponential functions as boundary layer functions.

Surla, Katarina

Displaying similar documents to “Exponential functions as boundary layer functions.”

Some uniformly convergent schemes on Shishkin mesh.

Vukoslavčević, Vanja, Rapajić, Sanja, Surla, Katarina (1998)

Novi Sad Journal of Mathematics

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A higher order approximation to a singular perturbation problem.

Uzelac, Zorica, Surla, Katarina (1998)

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On collocation methods for singular perturbation problems of convection-diffusion type.

Surla, Katarina, Teofanov, Ljiljana, Uzelac, Zorica (2001)

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Sufficient Conditions for Uniform Convergence of a Class of Spline Difference Schemes for Singularly Perturbed Problems

Katarina Surla, Zorica Uzelac (1988)

Publications de l'Institut Mathématique

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Solving second-order singularly perturbed ODE by the collocation method based on energetic Robin boundary functions

Chein-Shan Liu, Botong Li (2019)

Applications of Mathematics

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For a second-order singularly perturbed ordinary differential equation (ODE) under the Robin type boundary conditions, we develop an energetic Robin boundary functions method (ERBFM) to find the solution, which automatically satisfies the Robin boundary conditions. For the non-singular ODE the Robin boundary functions consist of polynomials, while the normalized exponential trial functions are used for the singularly perturbed ODE. The ERBFM is also designed to preserve the energy, which...