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Original Articles

The Decomposition Method For Solving Of A Class Of Singular Two-Point Boundary Value Problems

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Pages 869-882 | Published online: 15 Sep 2010

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Read on this site (6)

Saurabh Tomar. (2021) An effective approach for solving a class of nonlinear singular boundary value problems arising in different physical phenomena. International Journal of Computer Mathematics 98:10, pages 2060-2077.
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Randhir Singh, Abdul-Majid Wazwaz & Jitendra Kumar. (2016) An efficient semi-numerical technique for solving nonlinear singular boundary value problems arising in various physical models. International Journal of Computer Mathematics 93:8, pages 1330-1346.
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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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M. Inc & D.J. Evans. (2005) Decomposition method for nonlinear isothermal magnetostatic atmospheres. International Journal of Computer Mathematics 82:5, pages 559-572.
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Articles from other publishers (29)

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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Kapil Kant, Rakesh Kumar, Samiran Chakraborty & Gnaneshwar Nelakanti. (2023) Discrete Galerkin and Iterated Discrete Galerkin Methods for Derivative-Dependent Fredholm–Hammerstein Integral Equations with Green’s Kernel. Mediterranean Journal of Mathematics 20:5.
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Saurabh Tomar, A. K. Verma & K. Vajravelu. (2021) An effective method for solving singular boundary value problems with some relevant physical applications. Computational and Applied Mathematics 41:1.
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Pradip Roul & Trishna Kumari. (2021) A quartic trigonometric B-spline collocation method for a general class of nonlinear singular boundary value problems. Journal of Mathematical Chemistry 60:1, pages 128-144.
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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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Randhir Singh, Vandana Guleria & Mehakpreet Singh. (2020) Haar wavelet quasilinearization method for numerical solution of Emden–Fowler type equations. Mathematics and Computers in Simulation 174, pages 123-133.
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Randhir Singh. (2020) Solving Coupled Lane-Emden Equations by Green’s Function and Decomposition Technique. International Journal of Applied and Computational Mathematics 6:3.
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Moumita Mandal, Kapil Kant & Gnaneshwar Nelakanti. (2020) Convergence analysis for derivative dependent Fredholm-Hammerstein integral equations with Green’s kernel. Journal of Computational and Applied Mathematics 370, pages 112599.
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M. Veeramuni, K. M. Dharmalingam & Praveen Thomas. (2019) Analysis Through an Analytical Solution of the Mathematical Model for Solid Catalyzed Reactive HiGee Stripping. Chemistry Africa 2:3, pages 517-532.
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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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Muhammad Asim Khan, Shafiq Ullah & Norhashidah Hj. Mohd Ali. (2018) Application of Optimal Homotopy Asymptotic Method to Some Well-Known Linear and Nonlinear Two-Point Boundary Value Problems. International Journal of Differential Equations 2018, pages 1-11.
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Pradip Roul. (2016) An improved iterative technique for solving nonlinear doubly singular two-point boundary value problems. The European Physical Journal Plus 131:6.
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Pradip Roul. (2016) A new efficient recursive technique for solving singular boundary value problems arising in various physical models. The European Physical Journal Plus 131:4.
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Pradip Roul & Ujwal Warbhe. (2016) A novel numerical approach and its convergence for numerical solution of nonlinear doubly singular boundary value problems. Journal of Computational and Applied Mathematics 296, pages 661-676.
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Randhir Singh, Gnaneshwar Nelakanti & Jitendra Kumar. (2014) Approximate Solution of Two-Point Boundary Value Problems Using Adomian Decomposition Method with Green’s Function. Proceedings of the National Academy of Sciences, India Section A: Physical Sciences 85:1, pages 51-61.
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Fengmin Chen & Patricia J. Y. Wong. (2013) Deficient discrete cubic spline solution for a system of second order boundary value problems. Numerical Algorithms 66:4, pages 793-809.
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Randhir Singh, Jitendra Kumar & Gnaneshwar Nelakanti. (2013) Approximate series solution of singular boundary value problems with derivative dependence using Green’s function technique. Computational and Applied Mathematics 33:2, pages 451-467.
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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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Randhir Singh & Jitendra Kumar. (2013) The Adomian decomposition method with Green’s function for solving nonlinear singular boundary value problems. Journal of Applied Mathematics and Computing 44:1-2, pages 397-416.
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Randhir Singh, Jitendra Kumar & Gnaneshwar Nelakanti. (2014) Approximate Series Solution of Nonlinear Singular Boundary Value Problems Arising in Physiology. The Scientific World Journal 2014, pages 1-10.
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Randhir Singh, Jitendra Kumar & Gnaneshwar Nelakanti. (2013) Numerical solution of singular boundary value problems using Green’s function and improved decomposition method. Journal of Applied Mathematics and Computing 43:1-2, pages 409-425.
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Randhir Singh & Jitendra Kumar. (2013) Solving a Class of Singular Two-Point Boundary Value Problems Using New Modified Decomposition Method. ISRN Computational Mathematics 2013, pages 1-11.
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Randhir Singh, Jitendra Kumar & Gnaneshwar Nelakanti. (2012) New Approach for Solving a Class of Doubly Singular Two-Point Boundary Value Problems Using Adomian Decomposition Method. Advances in Numerical Analysis 2012, pages 1-22.
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Mehdi TatariMehdi Dehghan. (2011) An efficient method for solving multi-point boundary value problems and applications in physics. Journal of Vibration and Control 18:8, pages 1116-1124.
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Abdelhalim Ebaid. (2011) A new analytical and numerical treatment for singular two-point boundary value problems via the Adomian decomposition method. Journal of Computational and Applied Mathematics 235:8, pages 1914-1924.
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Changbum Chun & Rathinasamy Sakthivel. (2010) Homotopy perturbation technique for solving two-point boundary value problems – comparison with other methods. Computer Physics Communications 181:6, pages 1021-1024.
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Bongsoo Jang. (2008) Two-point boundary value problems by the extended Adomian decomposition method. Journal of Computational and Applied Mathematics 219:1, pages 253-262.
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M. Inc. (2006) On numerical soliton solution of the Kaup–Kupershmidt equation and convergence analysis of the decomposition method. Applied Mathematics and Computation 172:1, pages 72-85.
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M. Inc & Y. Cherruault. (2005) A reliable method for obtaining approximate solutions of linear and nonlinear Volterra‐Fredholm integro‐differential equations. Kybernetes 34:7/8, pages 1034-1048.
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