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International Journal of Computer Mathematics Volume 83, 2006 - Issue 12
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Original Articles

Numerical solution of system of first-order delay differential equations using polynomial spline functions

Mohamed A. Ramadan Department of Mathematics, Faculty of Science, Menoufia University, Shebeen El Koom, EgyptCorrespondence[email protected]
,
Abd-El-Aziz El-Sherbeiny Department of Mathematics, Faculty of Science, Menoufia University, Shebeen El Koom, Egypt
&
Mahmoud N. Sherif Department of Mathematics, Faculty of Science, Menoufia University, Shebeen El Koom, Egypt
Pages 925-937 | Received 22 May 2006, Accepted 13 Nov 2006, Published online: 26 Mar 2007

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Read on this site (4)

Li-Ping Wang, Yi-Ming Chen, Da-Yan Liu & Driss Boutat. (2019) Numerical algorithm to solve generalized fractional pantograph equations with variable coefficients based on shifted Chebyshev polynomials. International Journal of Computer Mathematics 96:12, pages 2487-2510.
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Z. A. Majid, H. M. Radzi & F. Ismail. (2013) Solving delay differential equations by the five-point one-step block method using Neville's interpolation. International Journal of Computer Mathematics 90:7, pages 1459-1470.
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Mohamed A. Ramadan, Abd- El -Aziz El-Sherbeiny & Mahmoud N. Sherif. (2009) The use of polynomial spline functions for the solution of system of second order delay differential equations. International Journal of Computer Mathematics 86:7, pages 1167-1181.
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F. Karakoç & H. Bereketoğlu. (2009) Solutions of delay differential equations by using differential transform method. International Journal of Computer Mathematics 86:5, pages 914-923.
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Articles from other publishers (10)

Mohamed Adel, Mohamed M. Khader, Salman Algelany & Khaled Aldwoah. (2023) An Accurate Approach to Simulate the Fractional Delay Differential Equations. Fractal and Fractional 7:9, pages 671.
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Umar Farooq, Hassan Khan, Dumitru Baleanu & Muhammad Arif. (2019) Numerical solutions of fractional delay differential equations using Chebyshev wavelet method. Computational and Applied Mathematics 38:4.
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C.J. Zúñiga-Aguilar, J.F. Gómez-Aguilar, R.F. Escobar-Jiménez & H.M. Romero-Ugalde. (2019) A novel method to solve variable-order fractional delay differential equations based in lagrange interpolations. Chaos, Solitons & Fractals 126, pages 266-282.
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Umer Saeed. (2016) Radial basis function networks for delay differential equation. Arabian Journal of Mathematics 5:3, pages 139-144.
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Suayip Yüzbasi, Emrah Gök & Mehmet Sezer. (2016) A numerical method for solving systems of higher order linear functional differential equations. Open Physics 14:1, pages 15-25.
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M. M. Khader. (2016) Fractional Chebyshev Finite Difference Method for Solving the Fractional-Order Delay BVPs. International Journal of Computational Methods 12:06, pages 1550033.
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Umer Saeed, Mujeeb ur Rehman & Muhammad Asad Iqbal. (2015) Modified Chebyshev wavelet methods for fractional delay-type equations. Applied Mathematics and Computation 264, pages 431-442.
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M. M. Khader. (2013) The Use of Generalized Laguerre Polynomials in Spectral Methods for Solving Fractional Delay Differential Equations. Journal of Computational and Nonlinear Dynamics 8:4.
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M.M. Khader. (2013) Numerical and theoretical treatment for solving linear and nonlinear delay differential equations using variational iteration method. Arab Journal of Mathematical Sciences 19:2, pages 243-256.
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Şuayip Yüzbaşı. (2012) On the solutions of a system of linear retarded and advanced differential equations by the Bessel collocation approximation. Computers & Mathematics with Applications 63:10, pages 1442-1455.
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