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International Journal of Computer Mathematics Volume 81, 2004 - Issue 2
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Original Articles

On the convergence of fourth-order finite difference method for weakly regular singular boundary value problems

R. K. PandeyCorrespondence[email protected]
&
Arvind K. Singh†
Pages 227-238 | Received 28 May 2003, Published online: 12 May 2010

Citations (9)

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Read on this site (2)

James Malele, Phumlani Dlamini & Simphiwe Simelane. (2023) Solving Lane–Emden equations with boundary conditions of various types using high-order compact finite differences. Applied Mathematics in Science and Engineering 31:1.
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J. Rashidinia, R. Mohammadi & R. Jalilian. (2008) Spline solution of non-linear singular boundary value problems. International Journal of Computer Mathematics 85:1, pages 39-52.
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Articles from other publishers (7)

Sheerin Kayenat & Amit Kumar Verma. (2022) On the choice of denominator functions and convergence of NSFD schemes for a class of nonlinear SBVPs. Mathematics and Computers in Simulation 200, pages 263-284.
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Mohammad Prawesh Alam, Tahera Begum & Arshad Khan. (2021) A high-order numerical algorithm for solving Lane–Emden equations with various types of boundary conditions. Computational and Applied Mathematics 40:6.
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Amit K. Verma & Sheerin Kayenat. (2020) Applications of modified Mickens-type NSFD schemes to Lane–Emden equations. Computational and Applied Mathematics 39:3.
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Amit K. Verma, Biswajit Pandit, Lajja Verma & Ravi P. Agarwal. (2020) A Review on a Class of Second Order Nonlinear Singular BVPs. Mathematics 8:7, pages 1045.
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Pradip Roul, V.M.K. Prasad Goura & Ravi Agarwal. (2019) A compact finite difference method for a general class of nonlinear singular boundary value problems with Neumann and Robin boundary conditions. Applied Mathematics and Computation 350, pages 283-304.
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Amit Kumar Verma & Sheerin Kayenat. (2018) On the convergence of Mickens’ type nonstandard finite difference schemes on Lane-Emden type equations. Journal of Mathematical Chemistry 56:6, pages 1667-1706.
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R. K. Pandey & G. K. Gupta. (2012) A Note on Fourth Order Method for Doubly Singular Boundary Value Problems. Advances in Numerical Analysis 2012, pages 1-21.
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