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International Journal of Computer Mathematics Volume 93, 2016 - Issue 6
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Original Articles

A new Galerkin spectral element method for fourth-order boundary value problems

Tao SunSchool of Statistics and Mathematics, Shanghai Finance University, Shanghai201209, ChinaCorrespondence[email protected]
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Lijun YiDepartment of Mathematics, Shanghai Normal University, Shanghai200234, ChinaView further author information
Pages 915-928 | Received 16 Dec 2013, Accepted 12 Jan 2015, Published online: 25 Feb 2015

Citations (6)

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Jun Zhang, Jianjun Jiao, Fubiao Lin, Wulan Li & Tao Sun. (2020) An efficient Legendre–Galerkin spectral element method for the steady flows in rectangular cavities. International Journal of Computer Mathematics 97:9, pages 1806-1818.
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Articles from other publishers (5)

Marwa Gamal, M. El-Kady & M. Abdelhakem. (2024) Solving real-life BVPs via the second derivative Chebyshev pseudo-Galerkin method. International Journal of Modern Physics C.
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M. Abdelhakem, Dina Abdelhamied, M. El-kady & Y. H. Youssri. (2023) Enhanced shifted Tchebyshev operational matrix of derivatives: two spectral algorithms for solving even-order BVPs. Journal of Applied Mathematics and Computing 69:5, pages 3893-3909.
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Dina Abdelhamid, Wedad Albalawi, Kottakkaran Sooppy Nisar, A. Abdel-Aty, Suliman Alsaeed & M. Abdelhakem. (2023) Mixed Chebyshev and Legendre polynomials differentiation matrices for solving initial-boundary value problems. AIMS Mathematics 8:10, pages 24609-24631.
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Tian-jun Wang. (2022) A New Multi-Domain Spectral Method for Korteweg-de Vries Equation on The Whole Line. Journal of Scientific Computing 92:2.
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W. M. Abd-Elhameed & Y. H. Youssri. (2020) Connection Formulae Between Generalized Lucas Polynomials and Some Jacobi Polynomials: Application to Certain Types of Fourth-Order BVPs. International Journal of Applied and Computational Mathematics 6:2.
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