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International Journal of Computer Mathematics Volume 82, 2005 - Issue 3
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On the application of the SMAGE parallel algorithms on a non-uniform mesh for the solution of non-linear two-point boundary value problems with singularity

D. J. Evans School of Computing and Mathematics, The Nottingham Trent University, Burton Street, Nottingham, NG1 4BU, UK
&
R. K. Mohanty Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi, 110 007, IndiaCorrespondence[email protected]
Pages 341-353 | Received 16 May 2004, Published online: 25 Jan 2007

Citations (11)

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Read on this site (2)

R.K. Mohanty, Jyoti Talwar & Noopur Khosla. (2012) Application of TAGE Iterative Methods for the Solution of Nonlinear Two Point Boundary Value Problems with Linear Mixed Boundary Conditions on a Non-Uniform Mesh. International Journal for Computational Methods in Engineering Science and Mechanics 13:3, pages 129-134.
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R. K. Mohanty. (2007) Three-step BLAGE iterative method for two-dimensional elliptic boundary value problems with singularity. International Journal of Computer Mathematics 84:11, pages 1613-1624.
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Articles from other publishers (9)

R.K. Mohanty & Niranjan. (2024) Sixth order compact multi-phase block-AGE iteration methods for computing 2D Helmholtz equation. MethodsX 12, pages 102633.
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R. K. Mohanty. (2023) Third (fourth) order accurate two-step super-stable cubic spline polynomial approximation for the second order non-linear initial-value problems. Journal of Mathematical Chemistry 61:10, pages 2123-2145.
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Pinaki Ranjan Mohanty. (2020) A new three-point sixth-order THAGE iteration method for mildly nonlinear two-point boundary value problems with engineering applications. Engineering with Computers 38:S1, pages 461-473.
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Pinaki Ranjan Mohanty. (2020) A new sixth-order approximation for nonlinear two-point boundary value problems: application of single-step alternating group explicit iteration method to engineering problems. Engineering with Computers 37:4, pages 3541-3550.
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R. K. Mohanty & Bishnu Pada Ghosh. (2019) Absolute stability of an implicit method based on third-order off-step discretization for the initial-value problem on a graded mesh. Engineering with Computers 37:2, pages 809-822.
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Swarn Singh & Ping Lin. (2014) High order variable mesh off-step discretization for the solution of 1-D non-linear hyperbolic equation. Applied Mathematics and Computation 230, pages 629-638.
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R.K. Mohanty. (2007) The smart-BLAGE algorithm for singularly perturbed 2D elliptic partial differential equations. Applied Mathematics and Computation 190:1, pages 321-331.
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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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Urvashi Arora, Samir Karaa & R.K. Mohanty. (2006) A new stable variable mesh method for 1-D non-linear parabolic partial differential equations. Applied Mathematics and Computation 181:2, pages 1423-1430.
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