References
- P.G. Drazin and W.H. Reid, Hydrodynamic Stability, Cambridge University Press, Cambridge, 1981.
- A. Khan, Non-polynomial quadratic spline method for solving fourth-order singularly perturbed boundary value problems, J. King Saud Univ. Sci. 31(4) (2017), pp. 479–484.
- D. Kumar, A.S. Yadaw, and M.K. Kadalbajoo, A parameter-uniform method for two parameters singularly perturbed boundary value problems via asymptotic expansion, Appl. Numer. Math. 56(7) (2013), pp. 962–980.
- G Kunert, A note on the energy norm for a singularly perturbed model problem, Computing 69 (2002), pp. 265–272.
- T. Linβ and H.G. Roos, Analysis of a finite-difference scheme for a singularly perturbed problem with two small parameters, J. Math. Anal. Appl. 289(2) (2004), pp. 355–366.
- A.H. Nayfeh, Introduction to Perturbation Techniques, John Wiley and Sons, New York, 1993.
- A. Ramesh Babu and N. Ramanujam, An asymptotic finite element method for singularly perturbed third and fourth order ordinary differential equations with discontinuous source term, J. Appl. Math. Comput. 191 (2007), pp. 372–380.
- A. Ramesh Babu and N. Ramanujam, The SDFEM for singularly perturbed convection–diffusion problems with discontinuous source term arising in the chemical reactor theory, Int. J. Comput. Math. 88 (2011), pp. 1664–1680.
- H.G. Roos, The SDFEM for convection–diffusion problem with two small parameters, Comput. Math. Appl. 3(3) (2003), pp. 443–458.
- H-G. Roos and T. Linβ, Sufficient conditions for uniform convergence on layer-adapted grids, Computing 63 (1999), pp. 27–45.
- V. Shanthi and N. Ramanujam, A numerical method for boundary value problems for singularly perturbed fourth-order ordinary differential equations, Appl. Math. Comput. 129 (2002), pp. 269–294.
- V. Shanthi and N. Ramanujam, A boundary value technique for boundary value problems singularly perturbed fourth-order ordinary differential equations, Comput. Math. Appl. 47 (2004), pp. 1673–1688.
- M. Stynes, H. G. Roos, and L. Tobiska, Numerical Methods for Singularly Petrubed Differential Equations Convection–Diffusion and Flow Problems, Springer Verlag, 2008.
- R. Vulanovic, A higher-order scheme for quasilinear boundary value problems with two small parameters, Computing 67(4) (2001), pp. 287–303.
- C. Xenophontos, A parameter robust finite element method for fourth order singularly perturbed problems, Comput. Methods Appl. Math. 17(2) (2017), pp. 337–349.
- C. Xenophontos, S. Franz, and I. Sykopetritou, Mixed hp FEM for singularly perturbed fourth order boundary value problems with two small parameters, arXiv:2008.01804v1 (2020).