Singüler Pertürbe Özellikli Yarılineer Gecikmeli Diferansiyel Denklemlerin Nümerik Çözümleri
Öz
Anahtar Kelimeler
Bakhvalov şebeke, Düzgün yakınsaklık, Fark şeması, Singüler pertürbasyon
Kaynakça
- Amiraliyev, G. M., & Mamedov, Y. D. (1995). Difference schemes on the uniform mesh for singularly perturbed pseudo-parabolic equations. Turkish Journal of Mathematics, 19(3), 207-222.
- Amiraliyev, G. M., & Duru, H. (2003). A uniformly convergent difference method for the periodical boundary value problem. Computers & Mathematics with Applications, 46(5-6), 695-703.
- Amiraliyev, G. M., & Duru, H. (2005). A note on a parameterized singular perturbation problem. Journal of Computational and Applied Mathematics, 182(1), 233-242.
- Amiraliyev, G. M., & Cimen, E. (2010). Numerical method for a singularly perturbed convection–diffusion problem with delay. Applied Mathematics and Computation, 216(8), 2351-2359.
- Amiraliyeva, I. G., Erdogan, F., & Amiraliyev, G. M. (2010). A uniform numerical method for dealing with a singularly perturbed delay initial value problem. Applied Mathematics Letters, 23(10), 1221-1225.
- Boglaev, I. P. (1984). Approximate solution of a nonlinear boundary value problem with a small parameter for the highest-order differential. USSR Computational Mathematics and Mathematical Physics, 24(6), 30-35.
- Cakir, M., & Amiraliyev, G. M. (2005). A finite difference method for the singularly perturbed problem with nonlocal boundary condition. Applied Mathematics and Computation, 160(2), 539-549.
- Doolan, E. R., Miller J. J. H., & Schilders, W. H. A. (1980). Uniform Numerical Methods for Problems with Initial and Boundary Layers. Dublin: Boole Press,.
- Duru, H., & Gunes, B., (2019). Numerical solutions for singularly perturbed nonlinear reaction diffusion problems on the piecewise equidistant mesh. Erzincan University Journal of Science and Technology, 12 (1), 425-436.
- Duru, H., & Güneş, B. (2020). The finite difference method on adaptive mesh for singularly perturbed nonlinear 1D reaction diffusion boundary value problems. Journal of Applied Mathematics and Computational Mechanics, 19(4).