论文信息 - A nonasymptotic method for general linear singular perturbation problems

A nonasymptotic method for general linear singular perturbation problems

The nonasymptotic method developed in Ref. 1 has been extended for solving general linear singularly perturbed two-point boundary-value problems. Firstly, we discuss problems with a right-hand boundary layer. Secondly, we discuss problems with an interior layer. Finally, we discuss problems with two boundary layers. Numerical experience with the method for some model problems is also reported to confirm the theoretical analysis.

Mohan K. Kadalbajoo | Y. N. Reddy | M. K. Kadalbajoo

[1] H. Weitzner,et al. Perturbation Methods in Applied Mathematics , 1969 .

[2] S. M. Roberts,et al. A boundary value technique for singular perturbation problems , 1982 .

[3] L. Segel,et al. Introduction to Singular Perturbations. By R. E. O'MALLEY, JR. Academic Press, 1974. $ 16.50. , 1975, Journal of Fluid Mechanics.

[4] John L. Casti,et al. Introduction to the theory and application of differential equations with deviating arguments , 1973 .

[5] Mohan K. Kadalbajoo,et al. A nonasymptotic method for singular perturbation problems , 1987 .