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A numerical method for third-order non-linear boundary-value problems in engineering

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Pages 103-109 | Received 25 Mar 2004, Accepted 22 Apr 2004, Published online: 25 Jan 2007

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S. A. Khuri & I. Louhichi. (2021) A new fixed point iteration method for nonlinear third-order BVPs. International Journal of Computer Mathematics 98:11, pages 2220-2232.
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A. Boutayeb & A. Chetouani. (2007) A mini-review of numerical methods for high-order problems† . International Journal of Computer Mathematics 84:4, pages 563-579.
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N. Bendjazia, A. Guezane-Lakoud & R. Khaldi. (2019) On Third-Order Boundary Value Problems with Multiple Characteristics. Differential Equations and Dynamical Systems 31:2, pages 251-268.
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U Mohammed, M Semenov, A I Ma’ali, A Abubakar & H Abdullah. (2019) Direct integrators of modified multistep method for the solution of third order boundary value problem in ordinary differential equations. IOP Conference Series: Materials Science and Engineering 597:1, pages 012075.
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F.Z. Geng & S.P. Qian. (2018) An optimal reproducing kernel method for linear nonlocal boundary value problems. Applied Mathematics Letters 77, pages 49-56.
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W. M. Abd-Elhameed. (2015) Some Algorithms for Solving Third-Order Boundary Value Problems Using Novel Operational Matrices of Generalized Jacobi Polynomials. Abstract and Applied Analysis 2015, pages 1-10.
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F.Z. Geng & S.P. Qian. (2014) A new reproducing kernel method for linear nonlocal boundary value problems. Applied Mathematics and Computation 248, pages 421-425.
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E.H. Doha, A.H. Bhrawy & R.M. Hafez. (2012) On shifted Jacobi spectral method for high-order multi-point boundary value problems. Communications in Nonlinear Science and Numerical Simulation 17:10, pages 3802-3810.
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Xiuying Li & Boying Wu. (2012) Reproducing kernel method for singular multi-point boundary value problems. Mathematical Sciences 6:1, pages 16.
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Zhiyuan Li, Yulan Wang & Fugui Tan. (2012) The Solution of a Class of Third-Order Boundary Value Problems by the Reproducing Kernel Method. Abstract and Applied Analysis 2012, pages 1-11.
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Javed Ali, S. Islam, Sirajul Islam & Gul Zaman. (2010) The solution of multipoint boundary value problems by the Optimal Homotopy Asymptotic Method. Computers & Mathematics with Applications 59:6, pages 2000-2006.
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Muhammad Azam Khan, Siraj-ul-Islam, Ikram A. Tirmizi, E.H. Twizell & Saadat Ashraf. (2006) A class of methods based on non-polynomial sextic spline functions for the solution of a special fifth-order boundary-value problems. Journal of Mathematical Analysis and Applications 321:2, pages 651-660.
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