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Original Articles

Convergence Of The Spline Function For Delay Dynamic System

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Pages 509-518 | Published online: 15 Sep 2010

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H. M. El-Hawary & K. A. El-Shami. (2012) Sextic C 1-spline collocation methods for solving delay differential equations. International Journal of Computer Mathematics 89:5, pages 679-690.
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Mehmet Sezer, Salih Yalçinbaş & Mustafa Gülsu. (2008) A Taylor polynomial approach for solving generalized pantograph equations with nonhomogenous term. International Journal of Computer Mathematics 85:7, pages 1055-1063.
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D. J. Evans & K. R. Raslan. (2005) The Adomian decomposition method for solving delay differential equation. International Journal of Computer Mathematics 82:1, pages 49-54.
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Articles from other publishers (22)

Osama Ala’yed. (2024) A New Method for Solving a Neutral Functional-Differential Equation with Proportional Delays. WSEAS TRANSACTIONS ON MATHEMATICS 23, pages 72-79.
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Ali Abdulsada Gatea. (2024) Adomian decomposition method for solving nonlinear fractional delay differential equations. BIO Web of Conferences 97, pages 00160.
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Soniya Dhama. (2024) A reliable scheme for nonlinear delay differential equations of pantograph-type. Journal of Computational Science 75, pages 102206.
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Kumbinarasaiah Srinivasa & Ravikiran Ashok Mundewadi. (2023) Wavelets approach for the solution of nonlinear variable delay differential equations. International Journal of Mathematics and Computer in Engineering 1:2, pages 139-148.
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Anil Kumar & Giriraj Methi. Solution of delay differential equations using iterative methods. Solution of delay differential equations using iterative methods.
Hamood. M. Yousef & A. I. B. MD. Ismail. Application of the variational iteration method for system of initial value problems delay differential equations. Application of the variational iteration method for system of initial value problems delay differential equations.
Lijun Yi & Zhongqing Wang. (2015) A Legendre–Gauss–Radau spectral collocation method for first order nonlinear delay differential equations. Calcolo 53:4, pages 691-721.
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B. Gürbüz & M. Sezer. (2016) Laguerre Polynomial Solutions of a Class of Initial and Boundary Value Problems Arising in Science and Engineering Fields. Acta Physica Polonica A 130:1, pages 194-197.
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Ömür Kıvanç Kürkçü, Ersin Aslan & Mehmet Sezer. (2016) A numerical approach with error estimation to solve general integro-differential–difference equations using Dickson polynomials. Applied Mathematics and Computation 276, pages 324-339.
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Musa Cakir & Derya Arslan. (2015) The Adomian Decomposition Method and the Differential Transform Method for Numerical Solution of Multi-Pantograph Delay Differential Equations. Applied Mathematics 06:08, pages 1332-1343.
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Umer Saeed & Mujeeb ur Rehman. (2014) Hermite Wavelet Method for Fractional Delay Differential Equations. Journal of Difference Equations 2014, pages 1-8.
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Yi Li‐jun, Liang Zi‐qiang & Wang Zhong‐qing. (2013) Legendre–Gauss–Lobatto spectral collocation method for nonlinear delay differential equations. Mathematical Methods in the Applied Sciences 36:18, pages 2476-2491.
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M. Heydari, G.B. Loghmani & S.M. Hosseini. (2013) Operational matrices of Chebyshev cardinal functions and their application for solving delay differential equations arising in electrodynamics with error estimation. Applied Mathematical Modelling 37:14-15, pages 7789-7809.
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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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N. Ratib Anakira, A. K. Alomari & I. Hashim. (2013) Optimal Homotopy Asymptotic Method for Solving Delay Differential Equations. Mathematical Problems in Engineering 2013, pages 1-11.
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Mustafa Gülsu & Mehmet Sezer. (2011) A taylor collocation method for solving high-order linear pantograph equations with linear functional argument. Numerical Methods for Partial Differential Equations 27:6, pages 1628-1638.
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Mustafa Gülsu, Burcu Gürbüz, Yalçın Öztürk & Mehmet Sezer. (2011) Laguerre polynomial approach for solving linear delay difference equations. Applied Mathematics and Computation 217:15, pages 6765-6776.
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Mustafa Gülsu & Mehmet Sezer. (2011) A collocation approach for the numerical solution of certain linear retarded and advanced integrodifferential equations with linear functional arguments. Numerical Methods for Partial Differential Equations 27:2, pages 447-459.
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Elçin Yusufoğlu. (2010) An efficient algorithm for solving generalized pantograph equations with linear functional argument. Applied Mathematics and Computation 217:7, pages 3591-3595.
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O.A. Taiwo & O.S. Odetunde. (2010) On the Numerical Approximation of Delay Differential Equations by a Decomposition Method. Asian Journal of Mathematics & Statistics 3:4, pages 237-243.
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Mehmet Sezer & Ayşegül Akyüz-Daşcıogˇlu. (2007) A Taylor method for numerical solution of generalized pantograph equations with linear functional argument. Journal of Computational and Applied Mathematics 200:1, pages 217-225.
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Y. Keskin, A. Kurnaz, Μ. E. Kiris & G. Oturanc. (2007) Approximate Solutions of Generalized Pantograph Equations by the Differential Transform Method. International Journal of Nonlinear Sciences and Numerical Simulation 8:2.
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