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Applicable Analysis
An International Journal
Volume 92, 2013 - Issue 9
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Articles

B-Spline collocation method for linear and nonlinear Fredholm and Volterra integro-differential equations

Z. Mahmoodi Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, IranCorrespondence[email protected]
,
J. Rashidinia Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
&
E. Babolian Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
Pages 1787-1802 | Received 12 Jan 2012, Accepted 26 May 2012, Published online: 29 Jun 2012

Citations (11)

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Read on this site (3)

R. Jalilian & T. Tahernezhad. (2020) Exponential spline method for approximation solution of Fredholm integro-differential equation. International Journal of Computer Mathematics 97:4, pages 791-801.
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Mengwu Guo & Hongzhi Zhong. (2016) Weak form quadrature solution of 2mth-order Fredholm integro-differential equations. International Journal of Computer Mathematics 93:10, pages 1650-1664.
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Z. Mahmoodi. (2014) Collocation method for solving systems of Fredholm and Volterra integral equations. International Journal of Computer Mathematics 91:8, pages 1802-1816.
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Articles from other publishers (8)

Yin Yang, Emran Tohidi & Guoting Deng. (2023) A high accurate and convergent numerical framework for solving high-order nonlinear Volterra integro-differential equations. Journal of Computational and Applied Mathematics 421, pages 114852.
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H. G. Cakir, F. Cakir & M. Cakir. (2023) A Novel Numerical Approach for Fredholm Integro-Differential Equations. Computational Mathematics and Mathematical Physics 62:12, pages 2161-2171.
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Abdelmonaim Saou, Driss Sbibih, Mohamed Tahrichi & Domingo Barrera. (2022) Superconvergent Nyström and Degenerate Kernel Methods for Integro-Differential Equations. Mathematics 10:6, pages 893.
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S. Kumbinarasaiah & R. A. Mundewadi. (2021) The new operational matrix of integration for the numerical solution of integro-differential equations via Hermite wavelet. SeMA Journal 78:3, pages 367-384.
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Taherh Tahernezhad & Reza Jalilian. (2020) Exponential spline for the numerical solutions of linear Fredholm integro-differential equations. Advances in Difference Equations 2020:1.
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Kourosh Parand, Hafez Yari & Mehdi Delkhosh. (2019) Solving two-dimensional integral equations of the second kind on non-rectangular domains with error estimate. Engineering with Computers 36:2, pages 725-739.
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Kourosh Parand, Hafez Yari, Reza Taheri & Simin Shekarpaz. (2019) A comparison of Newton–Raphson method with Newton–Krylov generalized minimal residual (GMRes) method for solving one and two dimensional nonlinear Fredholm integral equations. SeMA Journal 76:4, pages 615-624.
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Şuayip Yüzbaşı. (2016) A collocation method based on Bernstein polynomials to solve nonlinear Fredholm–Volterra integro-differential equations. Applied Mathematics and Computation 273, pages 142-154.
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