[1] K.K. Ali, A. Hadhoud, M. Shaalan, Numerical study of self-adjoint singularly perturbed two point boundary value problems using collocation method with error estimation, J. Ocean Eng. Sci. 3 (2018) 237–243.
[2] A. Ghoreyshi, M. Abbaszadeh, M.A. Zaky, M. Dehghan, Finite block method for nonlinear time fractional partial integro-differential equations: Stability, convergence, and numerical analysis, Appl. Numer. Math. 214 (2025) 82–103.
[3] M. Amrein, T.P. Wihler, An adaptive space-time Newton-Galerkin approach for semilinear singularly perturbed parabolic equations, IMA J. Numer. Anal. 37 (2017) 2004–2019.
[4] M.M. Bhatti, S.Z. Alamri, R. Ellahi, S.I. Abdelsalam, Intra-uterine particle-fluid motion through a compliant asymmetric tapered channel with heat transfer, J. Therm. Anal. Calorim. 144 (2021) 2259–2267.
[5] I. Boglaev, Monotone iterative algorithms for a nonlinear singularly perturbed parabolic problem, J. Comput. Appl. Math. 172 (2004) 313–335.
[6] I. Boglaev, An inexact monotone method for solving semilinear parabolic problems, Appl. Math. Comput. 219 (2012) 3253–3263.
[7] Y. Cheng, C. Song, Y. Mei, Local discontinuous Galerkin method for time dependent singularly perturbed semilinear reaction-diffusion problems, Comput. Methods Appl. Math. 21 (2021) 31–52.
[8] P.A. Farrell, A.F. Hegarty, J.J.H. Miller, E. O'Riordan, G.I. Shishkin, Robust Computational Techniques for Boundary Layers, Chapman and Hall/CRC, Boca Raton, FL, 2000.
[9] J. He, Variational iteration method – a kind of non-linear analytical technique: some examples, Int. J. Nonlinear Mech. 34 (1999) 699–708.
[10] M. Inokuti, H. Sekine, T. Mura, General use of the Lagrange multiplier in nonlinear mathematical physics, in: S. Nemat-Nasser (Ed.), Variational Methods in the Mechanics of Solids, Pergamon Press, New York, 1978, pp. 156–162.
[11] J.H. Seinfeld, S.N. Pandis, Atmospheric Chemistry and Physics: From Air Pollution to Climate Change, John Wiley & Sons, 1998.
[12] N. Kopteva, T. Linß, Maximum norm a posteriori error estimation for a time dependent reaction-diffusion problem, Comput. Methods Appl. Math. 12 (2012) 189–205.
[13] N. Kopteva, T. Linß, Maximum norm a posteriori error estimation for parabolic problems using elliptic reconstructions, SIAM J. Numer. Anal. 51 (2013) 1494–1524.
[14] M. Mariappan, Numerical treatment for a multiscale nonlinear system of singularly perturbed differential equations of convection-diffusion type, J. Math. Model. 12 (2024) 355–369.
[15] C.V. Pao, Nonlinear Parabolic and Elliptic Equations, Plenum Press, New York, 1992.
[16] J. Ramos, On the variational iteration method and other iterative techniques for nonlinear differential equations, Appl. Math. Comput. 199 (2008) 39–69.
[17] X. Xu, R.M. Mathur, J. Jiang, G.J. Rogers, P. Kundur, Modeling of generators and their controls in power system simulations using singular perturbations, IEEE Trans. Power Syst. 13 (1998) 109–114.