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International Journal of Computer Mathematics Volume 22, 1987 - Issue 3-4
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Original Articles

A New Fourth Order Cubic Spline Method for Non-Linear Two-Point Boundary Value Problems

M. M. Chawla Department of Mathematics, Indian Institute of Technology, New Delhi, Hauz Khas, 110016, India
&
R. Subramanian Department of Mathematics, Indian Institute of Technology, New Delhi, Hauz Khas, 110016, India
Pages 321-341 | Received 01 Sep 1986, Published online: 20 Mar 2007

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Jyoti Talwar, R.K. Mohanty & Swarn Singh. (2016) A new algorithm based on spline in tension approximation for 1D quasi-linear parabolic equations on a variable mesh. International Journal of Computer Mathematics 93:10, pages 1771-1786.
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Manoj Kumar. (2003) A fourth-order spline finite difference method for singular two-point boundary value problems . International Journal of Computer Mathematics 80:12, pages 1499-1504.
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Sukanta Kumar Bhatta & K. Suryanarayana Sastri. (1993) A sixth order spline procedure for a class of nonlinear boundary value problems. International Journal of Computer Mathematics 49:3-4, pages 255-271.
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M. M. Chawla & R. Subramanian. (1989) High accuracy quintic spline solution of fourth order two-point boundary value problems. International Journal of Computer Mathematics 31:1-2, pages 87-94.
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Articles from other publishers (16)

N BALASUBRAMANİ, M. GURU PREM PRASAD & S NATESAN. (2020) Fractal quintic spline method for nonlinear boundary-value problems. Hacettepe Journal of Mathematics and Statistics 49:6, pages 1885-1903.
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Jyoti Talwar, R.K. Mohanty & Swarn Singh. (2015) A new spline in compression approximation for one space dimensional quasilinear parabolic equations on a variable mesh. Applied Mathematics and Computation 260, pages 82-96.
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Feng-Gong Lang & Xiao-Ping Xu. (2010) A new cubic B-spline method for linear fifth order boundary value problems. Journal of Applied Mathematics and Computing 36:1-2, pages 101-116.
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Li-Bin Liu, Huan-Wen Liu & Yanping Chen. (2011) Polynomial spline approach for solving second-order boundary-value problems with Neumann conditions. Applied Mathematics and Computation 217:16, pages 6872-6882.
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Yuan-Ming Wang. (2011) On Numerov's method for a class of strongly nonlinear two-point boundary value problems. Applied Numerical Mathematics 61:1, pages 38-52.
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Manoj Kumar & Yogesh Gupta. (2009) Methods for solving singular boundary value problems using splines: a review. Journal of Applied Mathematics and Computing 32:1, pages 265-278.
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Manoj Kumar & Neelima Singh. (2009) A collection of computational techniques for solving singular boundary-value problems. Advances in Engineering Software 40:4, pages 288-297.
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Manoj Kumar. (2007) Higher order method for singular boundary-value problems by using spline function. Applied Mathematics and Computation 192:1, pages 175-179.
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Yuan-Ming Wang. (2007) The extrapolation of Numerov's scheme for nonlinear two-point boundary value problems. Applied Numerical Mathematics 57:3, pages 253-269.
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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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R.K. Bawa & S. Natesan. (2005) A computational method for self-adjoint singular perturbation problems using quintic spline. Computers & Mathematics with Applications 50:8-9, pages 1371-1382.
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Manoj Kumar. (2003) A second order spline finite difference method for singular two-point boundary value problems. Applied Mathematics and Computation 142:2-3, pages 283-290.
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Han Guoqiang, Wang Jiong, Ken Hayami & Xu Yuesheng. (2000) Correction method and extrapolation method for singular two-point boundary value problems. Journal of Computational and Applied Mathematics 126:1-2, pages 145-157.
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Gheorghe Micula & Sanda MiculaGheorghe Micula & Sanda Micula. 1999. Handbook of Splines. Handbook of Splines 383 600 .
M.M. Chawla & R. Subramanian. (1988) A new fourth-order cubic spline method for second-order nonlinear two-point boundary-value problems. Journal of Computational and Applied Mathematics 23:1, pages 1-10.
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M.M. Chawla, R. Subramanian & H.L. Sathi. (1988) A fourth-order spline method for singular two-point boundary-value problems. Journal of Computational and Applied Mathematics 21:2, pages 189-202.
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