Chebyshev polynomial solutions of systems of higher-order linear Fredholm-Volterra integro-differential equations

Journal of the Franklin Institute

Volumn 342, Issue 6, 2005, Pages 688-701

  Akyüz Daşcioǧlu, Ayşegül ^a   Sezer, Mehmet ^b  

^a PAMUKKALE UNIVERSITY   (Turkey)

^b MUGLA SITKI KOCMAN UNIVERSITY   (Turkey)

Author keywords

Chebyshev polynomials and series; Fredholm and Volterra systems; System of integro differential equations

Indexed keywords

DIFFERENTIAL EQUATIONS; FUNCTIONS; INTEGRAL EQUATIONS; LINEAR ALGEBRA; LINEAR EQUATIONS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; POLYNOMIALS;

CHEBYSHEV POLYNOMIALS AND SERIES; FREEHOLM AND VOLTERRA SYSTEMS; SYSTEM OF INTEGRO-DIFFERENTIAL EQUATIONS;

CHEBYSHEV APPROXIMATION;

EID: 23844518698     PISSN: 00160032     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jfranklin.2005.04.001     Document Type: Article

References (18)

1. C.T.H. Baker A perspective on the numerical treatment of Volterra equations J. Comput. Appl. Math. 125 2000 217 249
2. P. Linz Analytical and Numerical Methods for Volterra Equations 1985 SIAM Philadelphia, PA
3. L.M. Delves, and J.L. Mohamed Computational Methods for Integral Equations 1985 Cambridge University Press Cambridge
4. F. Bloom Asymptotic bounds for solutions to a system of damped integrodifferential equations of electromagnetic theory J. Math. Anal. Appl. 73 1980 524 542
5. K. Holmaker Global asymptotic stability for a stationary solution of a system of integro-differential equations describing the formation of liver zones SIAM J. Math. Anal. 24 1 1993 116 128
6. M.A. Abdou Fredholm-Volterra integral equation of the first kind and contact problem Appl. Math. Comput. 125 2002 177 193
7. L.K. Forbes, S. Crozier, and D.M. Doddrell Calculating current densities and fields produced by shielded magnetic resonance imaging probes SIAM J. Appl. Math. 57 2 1997 401 425
8. P.J. van der Houwen, and B.P. Sommeijer Euler-Chebyshev methods for integro-differential equations Appl. Numer. Math. 24 1997 203 218
9. W.H. Enright, and M. Hu Continuous Runge-Kutta methods for neutral Volterra integro-differential equations with delay Appl. Numer. Math. 24 1997 175 190
10. K. Maleknejad, F. Mirzae, and S. Abbasbandy Solving linear integro-differential equations system by using rationalized Haar functions method Appl. Math. Comput. 155 2004 317 328
11. K. Maleknejad, and M. Tavassoli Kajani Solving linear integro-differential equation system by Galerkin methods with hybrid functions Appl. Math. Comput. 159 2004 603 612
12. A. Akyüz, and M. Sezer A Chebyshev collocation method for the solution of linear integro-differential equations Int. J. Comput. Math. 72 4 1999 491 507
13. A. Akyüz, and M. Sezer Chebyshev polynomial solutions of systems of high-order linear differential equations with variable coefficients Appl. Math. Comput. 144 2003 237 247
14. A. Akyüz-Daşcioǧlu Chebyshev polynomial solutions of systems of linear integral equations Appl. Math. Comput. 151 2004 221 232
15. M. Sezer, and M. Kaynak Chebyshev polynomial solutions of linear differential equations Int. J. Math. Educ. Sci. Technol. 27 4 1996 607 618
16. C.W. Clenshaw, and A.R. Curtis A method for numerical integration on an automatic computer Numer. Math. 2 1960 197 205
17. L. Fox, and I.B. Parker Chebyshev Polynomials in Numerical Analysis 1968 Oxford University Press London
18. A. Akyüz, Chebyshev Collocation method for solution of linear integro-differential equations, M.Sc. Thesis, Dokuz Eylül University, Graduate School of Natural and Applied Sciences, 1997.