Three point discretization of order four and six for (du:dx) of the solution of non-linear singular two point boundary value problem

R. K. Mohanty Department of Computing, The Nottingham Trent University, Burton Street, Nottingham, NGI 4BU, UK

D. J. Evans Department of Computing, The Nottingham Trent University, Burton Street, Nottingham, NGI 4BU, UK

Shivani Dey Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi, 110007, India

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R. K. Mohanty, Geetan Manchanda, Arshad Khan & Gunjan Khurana. (2020) A new high accuracy method in exponential form based on off-step discretization for non-linear two point boundary value problems. Journal of Difference Equations and Applications 26:2, pages 171-202.
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R.K. Mohanty & Niranjan. (2024) A class of new implicit compact sixth-order approximations for Poisson equations and the estimates of normal derivatives in multi-dimensions. Results in Applied Mathematics 22, pages 100454.
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Yongfang Zhou, Yinzhen Lin & Minggen Cui. (2007) An efficient computational method for second order boundary value problems of nonlinear differential equations. Applied Mathematics and Computation 194:2, pages 354-365.
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L. K. Bieniasz. (2007) A set of compact finite-difference approximations to first and second derivatives, related to the extended Numerov method of Chawla on nonuniform grids. Computing 81:1, pages 77-89.
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R.K. Mohanty. (2006) A class of non-uniform mesh three point arithmetic average discretization for y″=f(x,y,y′) and the estimates of y′. Applied Mathematics and Computation 183:1, pages 477-485.
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R.K. Mohanty. (2005) A family of variable mesh methods for the estimates of (d /d ) and solution of non-linear two point boundary value problems with singularity . Journal of Computational and Applied Mathematics 182:1, pages 173-187.
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Three point discretization of order four and six for (du:dx) of the solution of non-linear singular two point boundary value problem

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Three point discretization of order four and six for (du:dx) of the solution of non-linear singular two point boundary value problem

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