NUMERICAL METHOD FOR NON LOCAL PROBLEM

Auteurs-es

  • A CHENIGUEL Kasdi Merbah University, Ouargla
  • A AYADI Larbi Ben M’hidi University, Oum El Bouaghi

Mots-clés :

Finite Difference Schemes, High-order Compact Schemes, Non local problem, Order of accuracy, Numerical methods for partial differential equations

Résumé

This paper is concerned with a high-order finite difference scheme for a non
local boundary value problem of parabolic equation the integral in the boundary equation is approximated by the Simpson rule numerical experiments show that the approximate solution coincides with the exact one at more than fifty percent grid points discretization.

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Bibliographies de l'auteur-e

A CHENIGUEL, Kasdi Merbah University, Ouargla

Departement of Mathematics and Computer Sciences
Faculty of Sciences

A AYADI, Larbi Ben M’hidi University, Oum El Bouaghi

Departement of mathematics and computer sciences
Faculty of sciences

Références

J. Cannon and J. Van Der Hoek, The existence and a continuous dependence result for the heat equation subject to specification of energy, Suppl Bolltino Unione Mat Hal, 1(1981), 253-282.

A. B. Gumel, On the numerical solution of the diffusion equation subject to the speci- fication of Mass, J. Auster. Math. Soc, Ser.B, 40(1999), 475-483.

M. Akram and M. A. Pasha, A numerical method for the heat equation with a non local boundary condition, International Journal of information and systems sciences, Volume1, Number 2(2005), 162-171.

J. D. Lambart, Numerical Methods for ordinary differential systems, The initial value problem, John Wiley and Sons, Chichester,1991.

Jichao Zhao* and Robert M. Corless**, Compact finite difference Method for integro- differential equations, (*) Department of applied mathematics, University of Western Ontario, Middlesex College, London, (**) Department of applied mathematics, University of Western Ontario, Middlesex College, London.

R. Cont, P. Tankov and E. Voltchkova, Option pricing models with jumps, integro-differential equations and inverse problems. European Congress on computational methods in applied sciences and Engineering, 24-28

July (2004), 1-24.

R. M. Corless and J. Rokieki, The symbolic generation of finite difference formulas, Zeitschrift fur Angwandte Mathmatik und Mechanik (Zamm), Proceeding, Iciam/Gamm 95, Numerical analysis, Scientific

computing, Computer science, Hamburg, Germany, 3 July 1995, G. Alfred and O. mahrenholtz and R. Mennicken, ZAAM, Vol. 76 supplement, Germany Akademie Verlag, 381-382.

R.H.Li,Z. Y. Chen and W. Wu, Generalized difference methods of differential equations, Analysis of finite volume methods, Marcel Dekker Inc, New York, 2000.

H. Sun and J. Zhang, A Highly Accurate derivative Recovery Formula to Integro-Differential Equations, Numerical Mathematics, a journal of Chinese Universities, 2004, Vol 26(1), pp. 81-90.

M. O. Ahmed, An exploration of compact finite difference methods for the numerical solution of PDE, Ph.D. thesis, The University of Western Ontario, 1997.

M. S. A. Taj and E. H. Twizell, A family of fourth order parallel splitting methods for parabolic partial differential equations, Inc. Numer. Methods Partial differential eq. 13(1997), 357-373.

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Publié-e

2009-12-01

Comment citer

CHENIGUEL, A., & AYADI, A. (2009). NUMERICAL METHOD FOR NON LOCAL PROBLEM. Sciences & Technologie. A, Sciences Exactes, (30), 15–18. Consulté à l’adresse https://revue.umc.edu.dz/a/article/view/25

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