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Journal of Taibah University for Science Volume 13, 2019 - Issue 1
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Research Articles

New operational matrices of orthogonal Legendre polynomials and their operational

Imran TalibDepartment of Mathematics and Statistics, Virtual University of Pakistan, Lahore, PakistanCorrespondence[email protected]
[email protected]
ORCID Iconhttps://orcid.org/0000-0003-0115-4506
ORCID Icon,
Cemil TuncDepartment of Mathematics, Faculty of Sciences, Yuzuncu Yil University, Van, TurkeyORCID Iconhttps://orcid.org/0000-0003-2909-8753
ORCID Icon &
Zulfiqar Ahmad NoorDepartment of Mathematics and Statistics, Virtual University of Pakistan, Lahore, PakistanORCID Iconhttps://orcid.org/0000-0001-7232-6112
ORCID Icon
Pages 377-389 | Received 01 Nov 2018, Accepted 02 Feb 2019, Published online: 17 Feb 2019

Citations (10)

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Read on this site (1)

Imran Talib, Ali Raza, Abdon Atangana & Muhammad Bilal Riaz. (2022) Numerical study of multi-order fractional differential equations with constant and variable coefficients. Journal of Taibah University for Science 16:1, pages 608-620.
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Articles from other publishers (9)

Jianqiang Xie, Xiao Yan, Muhammad Aamir Ali & Zakia Hammouch. (2023) A linear decoupled physical-property-preserving difference method for fractional-order generalized Zakharov system. Journal of Computational and Applied Mathematics 426, pages 115044.
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A. M. Shloof, A. Ahmadian, N. Senu, Soheil Salahshour, S. N. I. Ibrahim & M. Pakdaman. (2023) A highly accurate artificial neural networks scheme for solving higher multi‐order fractal‐fractional differential equations based on generalized Caputo derivative. International Journal for Numerical Methods in Engineering.
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Arezoo Ghasempour, Yadollah Ordokhani & Sedigheh Sabermahani. (2023) Fractional-Order Mittag–Leffler Functions for Solving Multi-dimensional Fractional Pantograph Delay Differential Equations. Iranian Journal of Science 47:3, pages 885-898.
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A M Shloof, N Senu, A Ahmadian, M I Nouh & S Salahshour. (2023) A novel fractal-fractional analysis of the stellar helium burning network using extended operational matrix method. Physica Scripta 98:3, pages 034004.
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Imran Talib, Zulfiqar Ahmad Noor, Zakia Hammouch & Hammad Khalil. (2022) Compatibility of the Paraskevopoulos’s algorithm with operational matrices of Vieta–Lucas polynomials and applications. Mathematics and Computers in Simulation 202, pages 442-463.
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Zulfiqar Ahmad Noor, Imran Talib, Thabet Abdeljawad & Manar A. Alqudah. (2022) Numerical Study of Caputo Fractional-Order Differential Equations by Developing New Operational Matrices of Vieta–Lucas Polynomials. Fractal and Fractional 6:2, pages 79.
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A.M. Shloof, N. Senu, A. Ahmadian & Soheil Salahshour. (2021) An efficient operation matrix method for solving fractal–fractional differential equations with generalized Caputo-type fractional–fractal derivative. Mathematics and Computers in Simulation 188, pages 415-435.
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Imran Talib, Md. Nur Alam, Dumitru Baleanu, Danish Zaidi & Ammarah Marriyam. (2021) A new integral operational matrix with applications to multi-order fractional differential equations. AIMS Mathematics 6:8, pages 8742-8771.
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Ghada H. Ibraheem & M.A. Al-Jawary. (2020) The operational matrix of Legendre polynomials for solving nonlinear thin film flow problems. Alexandria Engineering Journal 59:5, pages 4027-4033.
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