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International Journal of Computer Mathematics Volume 26, 1989 - Issue 3-4
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Original Articles

A connection between quartic spline solution and numerov solution of a boundary value problem

Riaz A. Usmani Department of Applied Mathematics, The University of Manitoba, Winnipeg, Manitoba, R3T 2N2, Canada
&
Manabu Sakai Department of Mathematics, University of Kagoshima, Kagoshima, 890, Japan
Pages 263-273 | Received 01 Nov 1987, Published online: 19 Mar 2007

Citations (13)

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Read on this site (3)

Fengmin Chen & Patricia J.Y. Wong. (2014) Discrete cubic spline method for second-order boundary value problems. International Journal of Computer Mathematics 91:5, pages 1041-1053.
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Chi-Chang Wang & Zong-Yi Lee. (2009) Uniform-Parameter Spline Method for Solving Non-Fourier Heat Conduction Problems. Numerical Heat Transfer, Part B: Fundamentals 56:4, pages 293-306.
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R. A. Usmani. (1995) On nonperiodic quartic spline interpolation. International Journal of Computer Mathematics 57:3-4, pages 197-211.
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Articles from other publishers (10)

Patricia J. Y. Wong. 2020. Progress on Difference Equations and Discrete Dynamical Systems. Progress on Difference Equations and Discrete Dynamical Systems 101 141 .
Francesco A. Costabile, Maria Italia Gualtieri & Giada Serafini. (2017) Cubic Lidstone-Spline for numerical solution of BVPs. Mathematics and Computers in Simulation 141, pages 56-64.
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Fengmin Chen & Patricia J. Y. Wong. (2012) Solving second order boundary value problems by discrete cubic splines. Solving second order boundary value problems by discrete cubic splines.
Md. Shafiqul Islam & Afroza Shirin. (2011) Numerical Solutions of a Class of Second Order Boundary Value Problems on Using Bernoulli Polynomials. Applied Mathematics 02:09, pages 1059-1067.
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Arshad Khan, Islam Khan & Tariq Aziz. (2005) A survey on parametric spline function approximation. Applied Mathematics and Computation 171:2, pages 983-1003.
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Arshad Khan. (2004) Parametric cubic spline solution of two point boundary value problems. Applied Mathematics and Computation 154:1, pages 175-182.
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Q. Sheng, A.Q.M. Khaliq & E.A. Al-Said. (2001) Solving the Generalized Nonlinear Schrödinger Equation via Quartic Spline Approximation. Journal of Computational Physics 166:2, pages 400-417.
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Eisa A. Al-Said. (1998) Cubic spline method for solving two-point boundary-value problems. Korean Journal of Computational & Applied Mathematics 5:3, pages 669-680.
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Riaz A. Usmani. (1996) Error bounds in periodic quartic spline interpolation. Approximation Theory and its Applications 12:3, pages 1-9.
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G. Hossein Behforooz. (1996) Consistency relations of the spline functions derived from a Pascal-like triangle. Applied Mathematics and Computation 74:2-3, pages 293-297.
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