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International Journal of Computer Mathematics Volume 24, 1988 - Issue 3-4
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Original Articles

A new spline method for singular two-point boundary value problems

M.M. Chawla Department of Mathematics, Indian Institute of Technology, Hauz Khas, New Delhi, 110016, India
&
R Subramanian Department of Mathematics, Indian Institute of Technology, Hauz Khas, New Delhi, 110016, India
Pages 291-310 | Received 01 Feb 1987, Published online: 19 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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R. K. Mohanty & M. K. Jain. (2009) High-accuracy cubic spline alternating group explicit methods for 1D quasi-linear parabolic equations† . International Journal of Computer Mathematics 86:9, pages 1556-1571.
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R. K. Mohanty & D. J. Evans. (2003) A Fourth Order Accurate Cubic Spline Alternating Group Explicit Method For Non-Linear Singular Two Point Boundary Value Problems*. International Journal of Computer Mathematics 80:4, pages 479-492.
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R. K. Mohanty, D. J. Evans & Shivani Dey. (2001) Three point discretization of order four and six for (du :dx) of the solution of non-linear singular two point boundary value problem. International Journal of Computer Mathematics 78:1, pages 123-139.
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M. M. Chawla, M. K. Jain & R. Subramanian. (1990) On the numerical integration of a singular two-point boundary value problem. International Journal of Computer Mathematics 31:3-4, pages 187-194.
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Articles from other publishers (14)

Pradip Roul. (2024) A high-order B-spline collocation method for solving a class of nonlinear singular boundary value problems. Journal of Mathematical Chemistry.
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Nikhil Sriwastav, Amit K. Barnwal, Higinio Ramos, Ravi P. Agarwal & Mehakpreet Singh. (2024) Advanced numerical scheme and its convergence analysis for a class of two-point singular boundary value problems. Mathematics and Computers in Simulation 216, pages 30-48.
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Amit K. Verma, Narendra Kumar, Mandeep Singh & Ravi P. Agarwal. (2021) A note on variation iteration method with an application on Lane–Emden equations. Engineering Computations 38:10, pages 3932-3943.
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Pradip Roul, V.M.K. Prasad Goura & Ravi Agarwal. (2019) A new high order numerical approach for a class of nonlinear derivative dependent singular boundary value problems. Applied Numerical Mathematics 145, pages 315-341.
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Pradip Roul. (2019) A new mixed MADM-Collocation approach for solving a class of Lane–Emden singular boundary value problems. Journal of Mathematical Chemistry 57:3, pages 945-969.
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Mandeep Singh, Amit Kumar Verma & Ravi P. Agarwal. (2019) ON AN ITERATIVE METHOD FOR A CLASS OF 2 POINT & 3 POINT NONLINEAR SBVPS. Journal of Applied Analysis & Computation 9:4, pages 1242-1260.
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Ali Ümit KeskinAli Ümit Keskin. 2019. Boundary Value Problems for Engineers. Boundary Value Problems for Engineers 417 510 .
Kiran Thula & Pradip Roul. (2018) A High-Order B-Spline Collocation Method for Solving Nonlinear Singular Boundary Value Problems Arising in Engineering and Applied Science. Mediterranean Journal of Mathematics 15:4.
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Jing Niu, Minqiang Xu, Yingzhen Lin & Qing Xue. (2018) Numerical solution of nonlinear singular boundary value problems. Journal of Computational and Applied Mathematics 331, pages 42-51.
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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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Randhir Singh & Jitendra Kumar. (2014) An efficient numerical technique for the solution of nonlinear singular boundary value problems. Computer Physics Communications 185:4, pages 1282-1289.
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Ranjan Kumar Mohanty & Vijay Dahiya. (2011) An O(k<sup>2</sup>+kh<sup>2</sup>+h<sup>2</sup>) Accurate Two-level Implicit Cubic Spline Method for One Space Dimensional Quasi-linear Parabolic Equations. American Journal of Computational Mathematics 01:01, pages 11-17.
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M. Inc, M. Ergüt & Y. Cherruault. (2005) A different approach for solving singular two‐point boundary value problems. Kybernetes 34:7/8, pages 934-940.
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M. M. Chawla & R. Subramanian. 1988. Numerical Mathematics Singapore 1988. Numerical Mathematics Singapore 1988 87 93 .

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