Approximate solutions of delay parabolic equations with the dirichlet condition

Abstract and Applied Analysis

Volumn 2012, Issue , 2012, Pages

  Agirseven, Deniz ^a  

^a TRAKYA UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84863673503     PISSN: 10853375     EISSN: 16870409     Source Type: Journal    
DOI: 10.1155/2012/682752     Document Type: Article

References (38)

1. Al-Mutib A. N., Stability properties of numerical methods for solving delay differential equations Journal of Computational and Applied Mathematics 1984 10 1 71 79 (Pubitemid 14569705)
2. Bellen A., One-step collocation for delay differential equations Journal of Computational and Applied Mathematics 1984 10 3 275 283 (Pubitemid 14621805)
3. Bellen A., Jackiewicz Z., Zennaro M., Stability analysis of one-step methods for neutral delay-differential equations Numerische Mathematik 1988 52 6 605 619
4. Cooke K. L., Gyri I., Numerical approximation of the solutions of delay differential equations on an infinite interval using piecewise constant arguments Computers Mathematics with Applications 1994 28 13 81 92. Advances in difference equations
5. Torelli L., Stability of numerical methods for delay differential equations Journal of Computational and Applied Mathematics 1989 25 1 15 26
6. Yenieriolu A. F., Yalinba S., On the stability of the second-order delay differential equations with variable coefficients Applied Mathematics and Computation 2004 152 3 667 673
7. Yenieriolu A. F., Stability properties of second order delay integro-differential equations Computers Mathematics with Applications 2008 56 12 3109 3117
8. Yenieriolu A. F., The behavior of solutions of second order delay differential equations Journal of Mathematical Analysis and Applications 2007 332 2 1278 1290
9. Ashyralyev A., Akca H., On difference shemes for semilinear delay differential equations with constant delay Proceedings of the Conference TSU: Actual Problems of Applied Mathematics, Physics and Engineering 1999 Ashgabat, Turkmenistan 18 27
10. Ashyralyev A., Aka H., Guray U., Second order accuracy difference scheme for approximate solutions of delay differential equations Functional Differential Equations 1999 6 3-4 223 231
11. Ashyralyev A., Aka H., Stability estimates of difference schemes for neutral delay differential equations Nonlinear Analysis 2001 44 4 443 452 (Pubitemid 32196053)
12. Ashyralyev A., Aka H., Yenieriolu F., Stability properties of difference schemes for neutral differential equations Differential Equations and Applications 2004 3 Hauppauge, NY, USA Nova Science 27 34
13. Liu J., Dong P., Shang G., Sufficient conditions for inverse anticipating synchronization of unidirectional coupled chaotic systems with multiple time delays Proceedings of the Chinese Control and Decision Conference (CCDC '10) 2010 IEEE 751 756
14. Mohamad S., Aka H., Covachev V., Discrete-time Cohen-Grossberg neural networks with transmission delays and impulses Tatra Mountains Mathematical Publications 2009 43 145 161
15. Ashyralyev A., Sobolevskii P. E., On the stability of the linear delay differential and difference equations Abstract and Applied Analysis 2001 6 5 267 297
16. Ashyralyev A., Sobolevskii P. E., New Difference Schemes for Partial Differential Equations 2004 148 Basel, Switzerland Birkhuser x+443 Operator Theory: Advances and Applications
17. Di Blasio G., Delay differential equations with unbounded operators acting on delay terms Nonlinear Analysis 2003 52 1 1 18 (Pubitemid 35171692)
18. Bazarov M. A., On the structure of fractional spaces Proceedings of the 27th All-Union Scientific Student Conference The Student and Scientific-Technological Progress (Novosibirsk, 1989) 1989 Novosibirsk, Russia Novosibirsk University 3 7
19. Ashyralyev A. O., Sobolevski P. E., The theory of interpolation of linear operators and the stability of difference schemes Doklady Akademii Nauk SSSR 1984 275 6 1289 1291
20. Erdogan U., Ozis T., A smart nonstandard finite difference scheme for second order nonlinear boundary value problems Journal of Computational Physics 2011 230 17 6464 6474
21. Ashyralyev A., Sobolevski P. E., Well-Posedness of Parabolic Difference Equations 1994 69 Basel, Switzerland Birkhuser xiv+349 Operator Theory: Advances and Applications
22. Ashyralyev A., High-accuracy stable difference schemes for well-posed NBVP Operator Theory 2009 191 2 229 252
23. Alibekov H. A., Sobolevski P. E., The stability of difference schemes for parabolic equations Doklady Akademii Nauk SSSR 1977 232 4 737 740
24. Alibekov H. A., Sobolevski P. E., Stability and convergence of high-order difference schemes of approximation for parabolic equations Akademiya Nauk Ukrainsko SSR 1979 31 6 627 634
25. Alibekov H. A., Sobolevski P. E., Stability and convergence of difference schemes of a high order of approximation for parabolic partial differential equations Akademiya Nauk Ukrainsko SSR 1980 32 3 291 300
26. Samarskii A. A., Nikolaev E. S., Numerical Methods for Grid Equations. Vol. II 1989 Basel, Switzerland Birkhuser xvi+502
27. Aka H., Shakhmurov V. B., Arslan G., Differential-operator equations with bounded delay Nonlinear Times and Digest 1995 2 2 179 190
28. Akca H., Covachev V., Spatial discretization of an impulsive Cohen-Grossberg neural network with time-varying and distributed delays and reaction-diffusion terms Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica 2009 17 3 15 26
29. Liao S. J., Homotopy analysis method: a new analytical technique for nonlinear problems Communications in Nonlinear Science and Numerical Simulation 1997 2 2 95 100
30. Liao S. J., On the general boundary element method Engineering Analysis with Boundary Elements 1998 21 1 39 51
31. Liao S., General boundary element method: an application of homotopy analysis method Communications in Nonlinear Science Numerical Simulation 1998 3 3 159 163
32. Liao S., On the homotopy analysis method for nonlinear problems Applied Mathematics and Computation 2004 147 2 499 513
33. Liao S. J., Boundary element method for general nonlinear differential operators Engineering Analysis with Boundary Elements 1997 20 2 91 99
34. Liao S. J., On the general Taylor theorem and its applications in solving non-linear problems Communications in Nonlinear Science and Numerical Simulation 1997 2 3 135 140
35. Liao S., Beyond Perturbation 2004 2 Boca Raton, Fla Chapman Hall/CRC xii+322 CRC Series: Modern Mechanics and Mathematics
36. Khan H., Liao S. J., Mohapatra R. N., Vajravelu K., An analytical solution for a nonlinear timedelay model in biology Communications in Nonlinear Science and Numerical Simulation 2009 14 7 3141 3148
37. Wu Y. Y., Liao S. J., Zhao X. Y., Some notes on the general boundary element method for highly nonlinear problems Communications in Nonlinear Science and Numerical Simulation 2005 10 7 725 735 (Pubitemid 40133616)
38. Ashyralyev A., Agirseven D., Finite difference method for delay parabolic equations 1389 Proceedings of the International Conference on Numerical Analysis and Applied Mathematics: Numerical Analysis And Applied Mathematics (ICNAAM '11) 2011 573 576 AIP Conference Proceedings