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Cogent Mathematics & Statistics Volume 5, 2018 - Issue 1

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Research article

Numerical solution of nonlinear mixed Volterra-Fredholm integro-differential equations by two-dimensional block-pulse functions

M. SafaviDepartment of Mathematics, Payame Noor University, Tehran, IranCorrespondence[email protected]
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A.A. KhajehnasiriDepartment of Mathematics, North Tehran Branch, Islamic Azad University, Tehran, IranView further author information

A. Angelamaria CardoneMathematics, Universita degli Studi di Salerno, ItalyView further author information

(Reviewing editor)

Article: 1521084 | Received 29 Mar 2016, Accepted 29 Aug 2018, Published online: 08 Oct 2018

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https://doi.org/10.1080/25742558.2018.1521084
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Citations (9)

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Articles from other publishers (9)

Rohit Patel, V. Vijayakumar, Juan J. Nieto, Shimpi Singh Jadon & Anurag Shukla. (2022) A note on the existence and optimal control for mixed Volterra–Fredholm‐type integrodifferential dispersion system of third order. Asian Journal of Control 25:3, pages 2113-2121.
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I. Zamanpour & R. Ezzati. (2023) Operational matrix method for solving fractional weakly singular 2D partial Volterra integral equations. Journal of Computational and Applied Mathematics 419, pages 114704.
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Musa Cakir & Baransel Gunes. (2022) Exponentially fitted difference scheme for singularly perturbed mixed integro-differential equations. Georgian Mathematical Journal 29:2, pages 193-203.
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Atefa J. Saleh, Luma J. Barghooth & Maan A. Rasheed. (2021) Numerical Solutions of Nonlinear Fredholm Integro Differential Equations using Fifth Order Runge-kutta Method. Journal of Physics: Conference Series 1999:1, pages 012093.
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A.A. Khajehnasiri & M. Safavi. (2021) Solving fractional Black–Scholes equation by using Boubaker functions. Mathematical Methods in the Applied Sciences 44:11, pages 8505-8515.
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Fawziah AL-SAAR & Kirtiwant GHADLE. (2021) Solving nonlinear Fredholm integro-differential equations via modifications of some numerical methods. Advances in the Theory of Nonlinear Analysis and its Application 5:2, pages 260-276.
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Amirahmad Khajehnasiri, Reza Ezzati & Mozhdeh Afshar Kermani. 2021. Progress in Intelligent Decision Science. Progress in Intelligent Decision Science 638 649 .

Y. Wang, S.S. Ezz-Eldien & A.A. Aldraiweesh. (2020) A new algorithm for the solution of nonlinear two-dimensional Volterra integro-differential equations of high-order. Journal of Computational and Applied Mathematics 364, pages 112301.
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Atefa J. Saleh, Rawaa E. Esa & Ali F. Jameel. Numerical treatment of non-linear Volterra integro-differential equation by using Runge-Kutta methods. Numerical treatment of non-linear Volterra integro-differential equation by using Runge-Kutta methods.

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