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Dergiler / Mathematical and Computational Applications / 2013 / Cilt: 18 - Sayı: 3

ERROR ESTIMATES FOR DIFFERENTIAL DIFFERENCE SCHEMES TO PSEUDO-PARABOLIC INITIAL-BOUNDARY VALUE PROBLEM WITH DELAY

Pinar OKCU
Gabil M. AMİRALİYEV
Sayfa
283–292
DOI
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Further we use the appropriate Runge-Kutta method for the realization of our differential-difference problem.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:We consider the one dimensional initial-boundary Sobolev problem with delay.
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Temel Bulgular & Veri:For solving this problem numerically, we construct fourth order differentialdifference scheme and obtain the error estimate for its solution.
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Sonuç & Katkı:Further we use the appropriate Runge-Kutta method for the realization of our differential-difference problem.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

We consider the one dimensional initial-boundary Sobolev problem with delay. For solving this problem numerically, we construct fourth order differentialdifference scheme and obtain the error estimate for its solution. Further we use the appropriate Runge-Kutta method for the realization of our differential-difference problem.

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Bu Makaleye Atıf Yap

OKCU, P., AMİRALİYEV, G. M. (2013). ERROR ESTIMATES FOR DIFFERENTIAL DIFFERENCE SCHEMES TO PSEUDO-PARABOLIC INITIAL-BOUNDARY VALUE PROBLEM WITH DELAY. Mathematical and Computational Applications, Cilt: 18 - Sayı: 3, 283–292. https://ajindex.com/articles/280296

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Kaynakça (15)

  1. G. M. Amiraliyev, Difference method for the solution of one problem of the theory of dispersive waves, USSR Differential Equations 26, 2146-2154, 1990
  2. G. M. Amiraliyev and Y. D. Mamedov, Difference schemes on the uniform mesh for a singularly perturbed pseudo-parabolic equations, Turkish Journal of Mathematics 19, 207-222, 1995
  3. G. M. Amiraliyev and I. G. Amireliyeva, Difference schemes for the singularly perturbed Sobolev equations, in Proceedings of the International Conference on Difference Equations, Special Functions and Applications, Munich, 23-40, 2005
  4. G. M. Amiraliyev, H. Duru and I. G. Amireliyeva, A parameter-uniform numerical method for a Sobolev problem with initial layer, Numerical Algorithms 44, 185-203, 2007
  5. G. Barenblatt, I. Zheltov and I. Kochina, Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks, Journal of Applied Mathematics and Mechanics 24, 1286-1303, 1960
  6. A. Bouzani, Initial-boundary value problems for a class of pseudoparabolic equations with integral boundary conditions, Journal of Mathematical Analysis and Appications 291, 371-386, 2004
  7. P. J. Chen and M. E. Gurtin, On a theory of heat conduction involving two temperatures, Zeitschrift für angewandte Mathematik und Physik 19, 614-627, 1968
  8. P. L. Davis, A quasilinear parabolic and related third order problem, Journal of Mathematical Analysis and Applications 49, 327-335, 1970
  9. R. E. Ewing, Time-stepping Galerkin methods for nonlinear Sobolev partial differential equations, SIAM Journal on Numerical Analysis 15, 1125-1150, 1978
  10. W. H. Ford and T. W. Ting, Uniform error estimates for difference approximations to nonlinear pseudo-parabolic partial differential equations, SIAM. Journal on Numerical Analysis 15, 155-169, 1974
  11. H. Gu, Characteristic finite element methods for nonlinear Sobolev equations, Applied Mathematics and Computation 102, 51-62, 1999
  12. R. Huilgol, A second order fluids of the differential type, International Journal of Non-Linear Mechanics 3, 471-482, 1968
  13. J.H. Lightbourne and S. M. Rankin, A partial functional differential equation of Sobolev type, Journal of Mathematical Analysis and Applications 93, 328-337, 1983
  14. S. B. Nemchinov, On the finite difference method to the elliptic boundary value problems, Journal of Compuational Mathematics and Mathematical Physics 2, 418- 436, 1962. (in Russian
  15. E. Reyes, F. Rodriguez and J. A. Martin, Analytic-numerical solutions of diffusion m