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Original Articles

Spline collocation method for solving linear sixth-order boundary-value problems

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Pages 1673-1684 | Received 22 Nov 2006, Accepted 23 Jun 2007, Published online: 10 Oct 2008

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Reza Mohammadi. (2021) Numerical approximation for viscous Cahn–Hilliard equation via septic B-spline. Applicable Analysis 100:1, pages 93-115.
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A. Lamnii, H. Mraoui, D. Sbibih, A. Tijini & A. Zidna. (2011) Sextic spline collocation methods for nonlinear fifth-order boundary value problems. International Journal of Computer Mathematics 88:10, pages 2072-2088.
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Articles from other publishers (9)

M.-Y. Nour, A. Lamnii, A. Zidna & D. Barrera. (2023) Non-uniform UE-spline quasi-interpolants and their application to the numerical solution of integral equations. Applied Numerical Mathematics 191, pages 29-44.
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Mustafa Turkyilmazoglu. (2017) Solution of Initial and Boundary Value Problems by an Effective Accurate Method. International Journal of Computational Methods 14:06, pages 1750069.
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E. H. Doha & W. M. Abd-Elhameed. (2014) Integrals of Chebyshev polynomials of third and fourth kinds: An application to solution of boundary value problems with polynomial coefficients. Journal of Contemporary Mathematical Analysis 49:6, pages 296-308.
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W. M. Abd-Elhameed. (2014) New Formulae for the High-Order Derivatives of Some Jacobi Polynomials: An Application to Some High-Order Boundary Value Problems. The Scientific World Journal 2014, pages 1-11.
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Ayşe Betül Koç, Musa Çakmak, Aydın Kurnaz & Kemal Uslu. (2013) A new Fibonacci type collocation procedure for boundary value problems. Advances in Difference Equations 2013:1.
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E.H. Doha, W.M. Abd-Elhameed & M.A. Bassuony. (2013) New algorithms for solving high even-order differential equations using third and fourth Chebyshev–Galerkin methods. Journal of Computational Physics 236, pages 563-579.
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Mingzhu Li, Lijuan Chen & Qiang Ma. (2013) The Numerical Solution of Linear Sixth Order Boundary Value Problems with Quartic B-Splines. Journal of Applied Mathematics 2013, pages 1-7.
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E. H. Doha & W. M. Abd-Elhameed. (2012) Efficient Solutions of Multidimensional Sixth-Order Boundary Value Problems Using Symmetric Generalized Jacobi-Galerkin Method. Abstract and Applied Analysis 2012, pages 1-19.
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Osman Raşit Işik, Mehmet Sezer & Zekeriya Güney. (2011) A rational approximation based on Bernstein polynomials for high order initial and boundary values problems. Applied Mathematics and Computation 217:22, pages 9438-9450.
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