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International Journal of Computer Mathematics Volume 81, 2004 - Issue 12
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A non-uniform mesh finite difference method and its convergence for a class of singular two-point boundary value problems

M. KumarDepartment of Mathematics, College of Engineering Roorkee, Post Box No. 27, Vardhman Puram, Roorkee, 247667, U.A., India
&
T. AzizDepartment of Applied Mathematics, Z. H. College of Engineering & Technology, Aligarh Muslim University, Aligarh, 202002, (U.P.), India
Pages 1507-1512 | Accepted 15 Dec 2003, Published online: 25 Jan 2007

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Read on this site (4)

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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Pradip Roul. (2019) A fast and accurate computational technique for efficient numerical solution of nonlinear singular boundary value problems. International Journal of Computer Mathematics 96:1, pages 51-72.
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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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Arvind K. Singh. (2008) On the convergence of second-order finite difference method for weakly regular singular boundary value problems. International Journal of Computer Mathematics 85:12, pages 1807-1814.
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Articles from other publishers (13)

Swati, Mandeep Singh & Karanjeet Singh. (2023) An efficient technique based on higher order Haar wavelet method for Lane–Emden equations. Mathematics and Computers in Simulation 206, pages 21-39.
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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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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 & 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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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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Lihua Guo, Boying Wu & Dazhi Zhang. (2014) A New Numerical Algorithm for Two-Point Boundary Value Problems. Abstract and Applied Analysis 2014, pages 1-6.
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Neelima Singh & Manoj Kumar. (2013) Adomian Decomposition Method for Computing Eigen-Values of Singular Sturm–Liouville Problems. National Academy Science Letters 36:3, pages 311-318.
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Manoj Kumar & Neelima Singh. (2009) A collection of computational techniques for solving singular boundary-value problems. Advances in Engineering Software 40:4, pages 288-297.
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N. Niakas, V.C. Loukopoulos & C. Douskos. (2008) An accurate numerical solver on second order PDEs with variable coefficients in three dimensions. Applied Mathematics and Computation 204:1, pages 50-57.
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M. Kumar. (2008) Computational technique for singular boundary value problems by using Numerical Quadrature. Computational Mathematics and Modeling 19:2, pages 195-200.
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R.K. Pandey & Arvind K. Singh. (2007) On the convergence of finite difference methods for weakly regular singular boundary value problems. Journal of Computational and Applied Mathematics 205:1, pages 469-478.
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J. Rashidinia, Z. Mahmoodi & M. Ghasemi. (2007) Parametric spline method for a class of singular two-point boundary value problems. Applied Mathematics and Computation 188:1, pages 58-63.
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Manoj Kumar & Tariq Aziz. (2006) A uniform mesh finite difference method for a class of singular two-point boundary value problems. Applied Mathematics and Computation 180:1, pages 173-177.
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