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International Journal of Computer Mathematics Volume 85, 2008 - Issue 1
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Original Articles

Spline solution of non-linear singular boundary value problems

J. Rashidinia School of Mathematics, Iran University of Science and Technology Narmak, Tehran, 16844, IranCorrespondence[email protected]
,
R. Mohammadi School of Mathematics, Iran University of Science and Technology Narmak, Tehran, 16844, IranView further author information
&
R. Jalilian School of Mathematics, Iran University of Science and Technology Narmak, Tehran, 16844, IranView further author information
Pages 39-52 | Received 15 Apr 2006, Accepted 29 Jan 2007, Published online: 31 Dec 2007

Citations (15)

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Read on this site (3)

R. K. Mohanty, Ravindra Kumar & Nikita Setia. (2021) Cubic spline approximation based on half-step discretization for 2D quasilinear elliptic equations. International Journal for Computational Methods in Engineering Science and Mechanics 22:1, pages 45-59.
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Homa Zadvan & Jalil Rashidinia. (2019) Tension spline method for the solution of elliptic equations. Journal of Taibah University for Science 13:1, pages 604-610.
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Jalil Rashidinia, Mohammad Nabati & Ali Barati. (2017) Sinc-Galerkin method for solving nonlinear weakly singular two point boundary value problems. International Journal of Computer Mathematics 94:1, pages 79-94.
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Articles from other publishers (12)

Pradip Roul, V. M. K. Prasad Goura & Ravi Agarwal. (2023) An optimal computational method for a general class of nonlinear boundary value problems. Journal of Mathematical Chemistry.
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Pradip Roul & V. M. K. Prasad Goura. (2022) A fast numerical scheme for solving singular boundary value problems arising in various physical models. Journal of Mathematical Chemistry 60:3, pages 514-541.
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Pradip Roul & V.M.K. Prasad Goura. (2022) A superconvergent B-spline technique for second order nonlinear boundary value problems. Applied Mathematics and Computation 414, pages 126615.
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Pradip Roul, Trishna Kumari & VMK Prasad Goura. (2020) An efficient numerical method based on exponential B‐spline basis functions for solving a class of nonlinear singular boundary value problems with Neumann and Robin boundary conditions. Mathematical Methods in the Applied Sciences 44:5, pages 3376-3395.
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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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Pradip Roul & V. M. K. Prasad Goura. (2020) Numerical solution of doubly singular boundary value problems by finite difference method. Computational and Applied Mathematics 39:4.
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Tahera Begum, Arshad Khan & Naseem Ahmad. (2020) A numerical study of boundary layer flow of viscous incompressible fluid past an inclined stretching sheet and heat transfer using nonpolynomial spline method. Mathematical Methods in the Applied Sciences 43:17, pages 9948-9967.
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N. Balasubramani, M. Guru Prem Prasad & S. Natesan. (2020) Fractal Cubic Spline Methods for Singular Boundary-Value Problems. International Journal of Applied and Computational Mathematics 6:2.
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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 & V.M.K. Prasad Goura. (2019) B-spline collocation methods and their convergence for a class of nonlinear derivative dependent singular boundary value problems. Applied Mathematics and Computation 341, pages 428-450.
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Pradip Roul & Harshita Madduri. (2018) A new highly accurate domain decomposition optimal homotopy analysis method and its convergence for singular boundary value problems. Mathematical Methods in the Applied Sciences 41:16, pages 6625-6644.
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R.K. Mohanty, M.K. Jain & Deepika Dhall. (2013) High accuracy cubic spline approximation for two dimensional quasi-linear elliptic boundary value problems. Applied Mathematical Modelling 37:1-2, pages 155-171.
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