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International Journal of Computer Mathematics Volume 82, 2005 - Issue 9
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Original Articles

An non-uniform mesh cubic spline TAGE method for non-linear singular two-point boundary value problems

R. K. Mohanty Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi, 110007, IndiaCorrespondence[email protected]
,
D. J. Evans Department of Computer Science, Loughborough University, Loughborough, Leics, LE11 3TU, UK
&
Noopur Khosla Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi, 110007, India
Pages 1125-1139 | Received 01 Nov 2004, Published online: 19 Aug 2006

Citations (12)

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Read on this site (2)

Yulan Wang, Temuer Chaolu & Zhong Chen. (2010) Using reproducing kernel for solving a class of singular weakly nonlinear boundary value problems. International Journal of Computer Mathematics 87:2, pages 367-380.
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Uğur Yücel & Murat Sarı. (2009) Differential quadrature method (DQM) for a class of singular two-point boundary value problems. International Journal of Computer Mathematics 86:3, pages 465-475.
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Articles from other publishers (10)

Geetan Manchanda, Gunjan Khurana & R. K. Mohanty. (2023) Super-stable spline-in-tension numerical method of order three(four) for the second order nonlinear IVPs. Journal of Mathematical Chemistry 61:5, pages 950-974.
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Mohammad Parto-Haghighi & Jalil Manafian. (2020) Solving a class of boundary value problems and fractional Boussinesq-like equation with β-derivatives by fractional-order exponential trial functions. Journal of Ocean Engineering and Science 5:3, pages 197-204.
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Ranjan Kumar Mohanty, Sucheta Nayak & Arshad Khan. (2017) Non-polynomial cubic spline discretization for system of non-linear singular boundary value problems using variable mesh. Advances in Difference Equations 2017:1.
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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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M.K. Jain, Sachin Sharma & R.K. Mohanty. (2016) High accuracy variable mesh method for nonlinear two-point boundary value problems in divergence form. Applied Mathematics and Computation 273, pages 885-896.
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Jyoti Talwar & R. K. Mohanty. (2014) Coupled Reduced Alternating Group Explicit Algorithm for Third Order Cubic Spline Method on a Non-uniform Mesh for Nonlinear Singular Two Point Boundary Value Problems. Proceedings of the National Academy of Sciences, India Section A: Physical Sciences 85:1, pages 71-81.
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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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R.K. Mohanty & Jyoti Talwar. (2013) SWAGE algorithm for the cubic spline solution of nonlinear viscous Burgers’ equation on a geometric mesh. Results in Physics 3, pages 195-204.
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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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R.K. Mohanty. (2009) A variable mesh C-SPLAGE method of accuracy for 1D nonlinear parabolic equations. Applied Mathematics and Computation 213:1, pages 79-91.
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