THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

External Links

Mehmet Karakas

NUMERICAL SOLUTION OF INITIAL-BOUNDARY VALUE PROBLEMS WITH INTEGRAL CONDITIONAL FOR THIRD-ORDER-DIFFERENTIAL EQUATIONS

ABSTRACT
Water quality differential equation based on the theoretical bases of change is a multiparameter mathematical. When we compared with water quality measurement valves, it is determined that the concentration valve rate is not balanced and the two parameters, change solution is current and unique. When change conditions only one solution will not be the determinant of Jacobi matrix linear connection. Therefore, this research will help the availability in theory and uniqueness of the solution to the problem of water quality parameters. This method provides compatibility between real data to issue water quality parameter change obtained using the equation of the estimated value of the third row and differantive. The numerical solution of start-border value problem which is integral conditioned for third-order-differential balance and the analytical property of problem is analyzed. The application phases are shown, contribution is given theorem, some remarks about the results produced and made in the light of their theorems.
KEYWORDS
Water quality parameters, numerical solution of start-border value problem
PAPER SUBMITTED: 2017-06-14
PAPER REVISED: 2017-11-24
PAPER ACCEPTED: 2017-12-04
PUBLISHED ONLINE: 2018-01-07
DOI REFERENCE: https://doi.org/10.2298/TSCI170614288K
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2018, VOLUME 22, ISSUE Supplement 1, PAGES [S211 - S219]
REFERENCES
  1. Rektorys,K.,The method of Discretization in Time and Partial Differential Equations. Riedel I' ubl. Comp., p.451,1982.
  2. Hermann, L., "Periodic Solutions to a One-dimensional Strongly Nonlinear Wave Equation With Strong Dissipation", Czechsl. Math. J., V 35 8110, p.278-293, 1985
  3. Wbb, G.F., "Existence and Asymptotic behavior for a Strongly Damped Nonlinear Wave Equation", Can. J. Math.,V.32,No.3 p.631-643,1980
  4. Lebbedev, W. I., "The Method of Difference for the Equation of Sobolev Type", Dokl. Acad. Sci. USSR, V.114, No.6, 1166-1169,1957
  5. Amiraliyev, G. M., "On Difference Schemes for Math. Dokl., V.42, No.2, 235-238, 1991
  6. Guo Ben Yo and Manaronajan, V. S., " A Spectral Method for Solving the RLW Equations', Slam j. Numer. Anal., V.5 , p. 307-318, 1983.
  7. S. Bank and I. Laine., "On the Zeroes of Meromorphic Solutions of Second-Order Liner Differential Equations", Comment Math. Helv., 6-667, 58-655, 1988.
  8. W. Hawman; Meromorphic Fonctions, Oxford, Clarendon Press, 1964.
  9. Yang Li., " Of the Analysis of Valve Distribution and New Approaches" Beijing,1984.
  10. Gao Shian.,Chen Zongyu and Chen Tewei, "Periodical The Theory of Linear Differential Balance", Wu Han, Hua Zhong , 1988
  11. Li Lan., "The Research of Methods on Controlling The Simulation of water Dirtiness and Water Environment Fake Models", Wu Han., No.6 , 45-67,1996.
  12. Wu xinyuan, " The application of First of Simulation at The Differential Balance"., No.4, 54-72.1987
  13. A. H. Gehonlov and B. R. Alexsanin., "The Solution of Imbalance Problems", Moscow, 1979
  14. L.Collatz., Functional Analysis and Numerical Mathematics, Academic Press, New York-London, 1966.
  15. Zhu, Cj., Hao, Zc.2008. The Grey Differential Model of River Water Pollution and its Application. IEEE int. Sym. On Knowledge Acquisition and Modeling Workshop Proceeding. Vol 1-2. 96-99.
  16. Kachiashvili, K. , Gordeizani, D. Razarov R. 2007. Modeling and Simulation of Pollutants Transport in Rivers. Applied Mathematical modeling. 31(7):1371-1396.
  17. Unami, K, Kawachi , 2003. Universal Optimization of Water Quality Management Straequ. Advances in Water Resources.26(4),465-472.
PDF VERSION [DOWNLOAD]
Numerical solution of initial-boundary value problems with integral conditional for third-order-differential equations

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence