Sinc collocation method for solving linear systems of Fredholm Volterra integro–differential equations of high order with variable coefficients
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Keywords:
Fredholm Volterra IDEs, Sinc collocation, interpolating pointsAbstract
In this paper, we have implemented Sinc collocation method (SCM) to solve linear systems of higher order Fredholm Volterra integro–differential equations (FVIDEs) with variable coefficients. This method transforms the system FVIDEs into algebraic equations. Two examples are included to illustrate the accuracy and success of the proposed method. We also point out that, as the number of
dimensions increases we get satisfactory results, as explained in the figures and tables.
References
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., 1993, 24(1): 116–128.
T. Bo, L. Xie, X. Zheng, Numerical Approach to Wind Ripple in Desert, International Journal of Nonlinear Sciences and Simulation,
, 8(2): 223–228.
A.Issa, N. Qatanani, A. Daraghmeh, Approximation Techniques for Solving Linear Systems of Volterra Integro– Differential Equations,
Journal of Applied Mathematics, 2020.
Mohsen, M. El–Gamel, A Sinc–Collocation Method for the Linear Fredholm Integro–Differential Equations, Zeitschrift für angewandte
Mathematik and Physik, 2007, 58(3): 380–390.
J. Abdul Jerri, Introduction to Integral Equations with Applications, New York: Wiley, 1999.
S. Kheybari, M. T. Darvishi, A. M. Wazwaz, A semi–Analytical Algorithm to solve Systems of Integro–Differential Equations under
Mixed Boundary Conditions, Journal of Computational and Applied Mathematics, 2017, 317: 72–89.
Y. Jafarzadeh, B. Keramati, Numerical Method for A system of Integro–Differential Equations And Convergence Analysis by Taylor
Collocation, Ain Shams Engineering Journal, 2018, 9(4): 1433–1438.
K. Maleknejad, B. Basirat, E. Hashemizadeh, A Bernstein Operational Matrix Approach for Solving A system of High order Linear
Volterra–Fredholm Integro–Differential Equations, Mathematical and Computer Modelling, 2012, 55(3–4): 1363–1372.
K. Maleknejad, M. Attary, A Chebysheve Collocation Method for the Solution of Higher–order Fredholm–Volterra Integro–Differential
Equations System, Scientific Bulletin, Universitatea Politehnica din Bucuresti Series A, 2012, 74(4): 17–28.
P. V. Ayoo, R. E. Amobeda, O. Akinwale, Solution of Systems of Disjoint Fredholm–Volterra Integro–Differential Equations using Bezier
Control Points, Science World Journal, 15(4): 2020, 35–40.
Akyüz–Daşcıoğlu, M. Sezer, Chebyshev Polynomial Solutions of Systems of Higher–order Linear Fredholm–Volterra Integro–
Differential Equations, Journal of the Franklin Institute, 2005, 342(6): 688–701.
E. Hesameddini, M. Riahi, Shifted Chebyshev Polynomial Method for Solving Systems of Linear And Nonlinear Fredholm–Volterra
Integro–Differential Equations, Journal of Mathematical Extension, 2018, 12(1): 55–79.
M. Gülsu, M. Sezer, Taylor Collocation Method for Solution of Systems of High–order Linear Fredholm–Volterra Integro–Differential
Equations, International Journal of Computer Mathematics, 2006, 83(4): 429–448.
A. Jalal, N. A. Sleman, A.I. Amen, Numerical Methods for Solving the System of Volterra–Fredholm Integro– Differential Equations,
ZANCO Journal of Pure and Applied Sciences, 2019, 31(2): 25–30.
Y. Jafarzadeh, B. Keramati, Numerical Method for A system of Integro–Differential Equations by Lagrange Interpolation, Asian–
European Journal of Mathematics, 2016, 9(4): 1650077.
