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International Journal of Computer Mathematics Volume 85, 2008 - Issue 5
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Original Articles

A class of methods based on a septic non-polynomial spline function for the solution of sixth-order two-point boundary value problems

M. A. Ramadan Department of Mathematics, Faculty of Science, Menoufia University, Shebeen El-koom, EgyptCorrespondence[email protected]
,
I. F. Lashien Department of Engineering Physics and Mathematics, Faculty of Engineering, Tanta University, Tanta, Egypt
&
W. K. Zahra Department of Engineering Physics and Mathematics, Faculty of Engineering, Tanta University, Tanta, Egypt
Pages 759-770 | Received 15 Nov 2006, Accepted 29 Apr 2007, Published online: 24 Apr 2008

Citations (14)

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A. Griewank & Talaat S. El-Danaf . (2009) Efficient accurate numerical treatment of the modified Burgers’ equation. Applicable Analysis 88:1, pages 75-87.
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Articles from other publishers (13)

Reny George, Muhammad Yaseen & Sana Khan. (2022) Collocation Approach Based on an Extended Cubic -Spline for a Second-Order Volterra Partial Integrodifferential Equation . Journal of Function Spaces 2022, pages 1-15.
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Mohamed A. Ramadan, Ahmed M.E. Bayoumi & Adel R. Hadhoud. (2019) A c ombination of Sylvester block sum and block matrix Kronecker map for explicit solutions of Sylvester system of matrix equations . Mathematical Methods in the Applied Sciences 42:18, pages 7506-7516.
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R. K. Mohanty & Gunjan Khurana. (2017) A New Spline-in-Tension Method of O( $$k^{2}+h^{4})$$ k 2 + h 4 ) Based on Off-step Grid Points for the Solution of 1D Quasi-linear Hyperbolic Partial Differential Equations in Vector Form. Differential Equations and Dynamical Systems 27:1-3, pages 141-168.
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Ram Kishun Lodhi & Hradyesh Kumar Mishra. (2018) Septic B-spline method for second order self-adjoint singularly perturbed boundary-value problems. Ain Shams Engineering Journal 9:4, pages 2153-2161.
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Dang Quang A & Dang Quang Long. (2018) A simple efficient method for solving sixth-order nonlinear boundary value problems. Computational and Applied Mathematics 37:S1, pages 16-26.
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Navnit Jha, R. K. Mohanty & Vinod Chauhan. (2014) Efficient algorithms for fourth and sixth-order two-point non-linear boundary value problems using non-polynomial spline approximations on a geometric mesh. Computational and Applied Mathematics 35:2, pages 389-404.
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Navnit Jha & Lesław K. Bieniasz. (2014) A Fifth (Six) Order Accurate, Three-Point Compact Finite Difference Scheme for the Numerical Solution of Sixth Order Boundary Value Problems on Geometric Meshes. Journal of Scientific Computing 64:3, pages 898-913.
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Feng-Gong Lang & Xiao-Ping Xu. (2015) An effective method for numerical solution and numerical derivatives for sixth order two-point boundary value problems. Computational Mathematics and Mathematical Physics 55:5, pages 811-822.
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Navnit Jha, R. K. Mohanty & Vinod Chauhan. (2014) The Convergence of Geometric Mesh Cubic Spline Finite Difference Scheme for Nonlinear Higher Order Two-Point Boundary Value Problems. International Journal of Computational Mathematics 2014, pages 1-12.
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Pooja Khandelwal & Talat Sultana. (2013) Parametric septic splines approach for the solution of linear sixth-order two-point boundary value problems. Applied Mathematics and Computation 219:12, pages 6856-6867.
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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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W.K. Zahra. (2011) A smooth approximation based on exponential spline solutions for nonlinear fourth order two point boundary value problems. Applied Mathematics and Computation 217:21, pages 8447-8457.
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Talaat S. El Danaf & Faisal E.I. Abdel Alaal. (2009) Non‐polynomial spline method for the solution of the dissipative wave equation. International Journal of Numerical Methods for Heat & Fluid Flow 19:8, pages 950-959.
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