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Section B Special Section: New Analytical Methods

The variational iteration method for solving linear and nonlinear Volterra integral and integro-differential equations

Pages 1131-1141 | Received 19 Feb 2009, Accepted 16 Jun 2009, Published online: 10 May 2010

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Mohamed A. Abdou & Mohamed I. Youssef. (2021) On an approximate solution of a boundary value problem for a nonlinear integro-differential equation. Arab Journal of Basic and Applied Sciences 28:1, pages 386-396.
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Davood Younesian, Hassan Askari, Zia Saadatnia & Ahmet Yıldırım. (2012) Analytical solution for nonlinear wave propagation in shallow media using the variational iteration method. Waves in Random and Complex Media 22:2, pages 133-142.
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Olga Doeva, Pedram Khaneh Masjedi & Paul M. Weaver. (2021) A semi-analytical approach based on the variational iteration method for static analysis of composite beams. Composite Structures 257, pages 113110.
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Hussam Alrabaiah, Muhammad Jamil, Kamal Shah & Rahmat Ali Khan. (2020) Existence theory and semi-analytical study of non-linear Volterra fractional integro-differential equations. Alexandria Engineering Journal 59:6, pages 4677-4686.
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B. Agheli & M. Adabitabar Firozja. (2019) A Fuzzy Transform Method for Numerical Solution of Fractional Volterra Integral Equations. International Journal of Applied and Computational Mathematics 6:1.
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Snehashish Chakraverty, Nisha Rani Mahato, Perumandla Karunakar & Tharasi Dilleswar Rao. 2019. Advanced Numerical and Semi‐Analytical Methods for Differential Equations. Advanced Numerical and Semi‐Analytical Methods for Differential Equations 141 147 .
Liaqat Ali, Saeed Islam & Taza Gul. (2017) A simple algorithm for exact solutions of systems of linear and nonlinear integro-differential equations. Applied Mathematics and Computation 307, pages 311-320.
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Hossein Jafari, Saber Ghasempour & Dumitru Baleanu. (2015) On comparison between iterative methods for solving nonlinear optimal control problems. Journal of Vibration and Control 22:9, pages 2281-2287.
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M. A. AL-Jawary & H. R. AL-Qaissy. (2015) A reliable iterative method for solving Volterra integro-differential equations and some applications for the Lane–Emden equations of the first kind. Monthly Notices of the Royal Astronomical Society 448:4, pages 3093-3104.
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Hossein Jafari. (2014) A comparison between the variational iteration method and the successive approximations method. Applied Mathematics Letters 32, pages 1-5.
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