BURGER DENKLEMiNiN SAYISAL ÇÖZUMLERi İÇİN SONLU FARK METOTLARI

Araştırma Makalesi

Yıl 2003, Sayı: 005, 87 - 96, 15.12.2003

The numerical solutions of the splitted Burger equation are obtained

by using the classical finite difference method. Results of numerical solutions

of the Burger equation are compared with that o

[1] Cole, J. D., 1951, "On a Quasi-linear Parabolic in Aerodynamics", Quarterly of Applied Math., 9, 225-236.
[2] EVII!tls,O. J. and Abdullah, A. R., 1984, "The Group Explicit Method for the Solution of Burger Equation", Computing, 32, 239-253.
[3] Fletcher, C. A: J., 1983, "A Comparison of Finite Element and Finite Difference Solutions of the One- and Two-Dimensional Burgers' Equations", Jour. Compo Physics, 51,159-188.
[4] Hopf, E., 1950, "The Partial Differential Equation U,+UUx= Il U,;', Comm. Pure App. Math., 3, 201-230.
[5] Iskandar, L. and Mohsen, A, 1992, "Some Numerical Experiments on the Splitting of Burgers' Equation", Nurn. Meth. Par. Diff. Eq., 8,267-276.
[6] Jain, P. C and Holla, D. N., 1978, "Numerical Solutions of Coupled Burgers' Equation", Int. J. Non-Linear Mechanics, 13,213-222.
[7] Jain, P. C and Lohar, B. L., 1979, "Cubic Spline Technique for Coupled Nonlinear Parabolic Equations", Compo & Maths. with Appl., 5, 179-185.
[8] Jain, P. C, Shankar, R. and Singh, T. V., 1995, "Numerical Technique for Solving Convective-Reaction-Diffusion Equation", Math. Comput. Modelling, Vol. 22, No. 9, 113-125.
[9] Kutluay, S., Bahadir, A. R. and Ozdes, A., 1999, "Numerical Solution of Onedimensional Burgers Equation: Explicit and Exact-Explicit Finite Difference Methods", J. Compo App. Maths., 103,251-261.

Yıl 2003, Sayı: 005, 87 - 96, 15.12.2003

Parcalanrnis Burger denkleminin sayisal cozurnleri klasik sonlu fark metodu

kullarularak elde edildi. Burger denkleminin sayisal cozurnleri. Burger

denklemine dogrudan uygulanan sonlu fark metodunun sonuclanyla

karsrlasnnldr.

[1] Cole, J. D., 1951, "On a Quasi-linear Parabolic in Aerodynamics", Quarterly of Applied Math., 9, 225-236.
[2] EVII!tls,O. J. and Abdullah, A. R., 1984, "The Group Explicit Method for the Solution of Burger Equation", Computing, 32, 239-253.
[3] Fletcher, C. A: J., 1983, "A Comparison of Finite Element and Finite Difference Solutions of the One- and Two-Dimensional Burgers' Equations", Jour. Compo Physics, 51,159-188.
[4] Hopf, E., 1950, "The Partial Differential Equation U,+UUx= Il U,;', Comm. Pure App. Math., 3, 201-230.
[5] Iskandar, L. and Mohsen, A, 1992, "Some Numerical Experiments on the Splitting of Burgers' Equation", Nurn. Meth. Par. Diff. Eq., 8,267-276.
[6] Jain, P. C and Holla, D. N., 1978, "Numerical Solutions of Coupled Burgers' Equation", Int. J. Non-Linear Mechanics, 13,213-222.
[7] Jain, P. C and Lohar, B. L., 1979, "Cubic Spline Technique for Coupled Nonlinear Parabolic Equations", Compo & Maths. with Appl., 5, 179-185.
[8] Jain, P. C, Shankar, R. and Singh, T. V., 1995, "Numerical Technique for Solving Convective-Reaction-Diffusion Equation", Math. Comput. Modelling, Vol. 22, No. 9, 113-125.
[9] Kutluay, S., Bahadir, A. R. and Ozdes, A., 1999, "Numerical Solution of Onedimensional Burgers Equation: Explicit and Exact-Explicit Finite Difference Methods", J. Compo App. Maths., 103,251-261.

Toplam 9 adet kaynakça vardır.

APA	Saka, B., & Irk, D. (2003). BURGER DENKLEMiNiN SAYISAL ÇÖZUMLERi İÇİN SONLU FARK METOTLARI. Journal of Science and Technology of Dumlupınar University(005), 87-96.

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