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Original Articles

Direct method for solving integro differential equations using hybrid Fourier and block-pulse functions

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Pages 889-895 | Received 20 Sep 2004, Published online: 25 Jan 2007

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E. Hesameddini & M. Shahbazi. (2018) Hybrid Bernstein Block–Pulse functions for solving system of fractional integro-differential equations. International Journal of Computer Mathematics 95:11, pages 2287-2307.
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M.M. Hosseini, Syed Tauseef Mohyud-Din & A. Nakhaeei. (2012) New Rothe-wavelet method for solving telegraph equations. International Journal of Systems Science 43:6, pages 1171-1176.
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Articles from other publishers (11)

Ekhlass S. Al-Rawi & Merna A. Samarchi. (2022) On the Use of Elzaki Decomposition Method for Solving Higher-Order Integro-Differential Equations. International Journal of Mathematics and Mathematical Sciences 2022, pages 1-8.
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D. Shirani, M. Tavassoli Kajani & S. Salahshour. (2022) Numerical solution of system of Fredholm-Volterra integro-differential equations using Legendre polynomials. Filomat 36:5, pages 1685-1697.
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Bogdan Căruntu & Mădălina Sofia Paşca. (2021) The Polynomial Least Squares Method for Nonlinear Fractional Volterra and Fredholm Integro-Differential Equations. Mathematics 9:18, pages 2324.
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H. Dehestani, Y. Ordokhani & M. Razzaghi. (2021) Combination of Lucas wavelets with Legendre–Gauss quadrature for fractional Fredholm–Volterra integro-differential equations. Journal of Computational and Applied Mathematics 382, pages 113070.
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R. Katani & S. Mckee. (2020) A hybrid Legendre block-pulse method for mixed Volterra–Fredholm integral equations. Journal of Computational and Applied Mathematics 376, pages 112867.
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N. Rohaninasab, K. Maleknejad & R. Ezzati. (2018) Numerical solution of high-order Volterra–Fredholm integro-differential equations by using Legendre collocation method. Applied Mathematics and Computation 328, pages 171-188.
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Esmail Hesameddini & Mehdi Shahbazi. (2017) Solving system of Volterra–Fredholm integral equations with Bernstein polynomials and hybrid Bernstein Block-Pulse functions. Journal of Computational and Applied Mathematics 315, pages 182-194.
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P.K. Sahu & S. Saha Ray. (2015) Hybrid Legendre Block-Pulse functions for the numerical solutions of system of nonlinear Fredholm?Hammerstein integral equations. Applied Mathematics and Computation 270, pages 871-878.
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Liyun Su, Tianshun Yan, Yanyong Zhao, Fenglan Li & Ruihua Liu. (2012) Numerical Solution of Integro-Differential Equations with Local Polynomial Regression. Open Journal of Statistics 02:03, pages 352-355.
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Zulkifly Abbas, S. Vahdati, M. Tavassoli Kajani & K.A. Atan. (2009) New construction of wavelets base on floor function. Applied Mathematics and Computation 210:2, pages 473-478.
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Nurcan Kurt & Mehmet Sezer. (2008) Polynomial solution of high-order linear Fredholm integro-differential equations with constant coefficients. Journal of the Franklin Institute 345:8, pages 839-850.
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