Advanced search
Publication Cover
International Journal of Computer Mathematics Volume 79, 2002 - Issue 10
Submit an article Journal homepage
91
Views
19
CrossRef citations to date
0
Altmetric
Original Articles

Alternating Group Explicit Method For The Numerical Solution Of Non-Linear Singular Two-Point Boundary Value Problems Using A Fourth Order Finite Difference Method

D. J. Evans Department of Computing, The Nottingham Trent University, Burton Street, Nottingham, NG1 4BU, U.K.
&
R. K. Mohanty Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi, 110 007, India
Pages 1121-1133 | Published online: 15 Sep 2010

Citations (19)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (5)

Jalil Rashidinia, Mohammad Nabati & Ali Barati. (2017) Sinc-Galerkin method for solving nonlinear weakly singular two point boundary value problems. International Journal of Computer Mathematics 94:1, pages 79-94.
Read now
M. Ghasemi. (2013) A new superconvergent method for systems of nonlinear singular boundary value problems. International Journal of Computer Mathematics 90:5, pages 955-977.
Read now
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.
Read now
R. K. Mohanty, D. J. Evans & Noopur Khosla. (2005) An non-uniform mesh cubic spline TAGE method for non-linear singular two-point boundary value problems. International Journal of Computer Mathematics 82:9, pages 1125-1139.
Read now
R. K. Mohanty & D. J. Evans. (2005) Alternating group explicit parallel algorithms for the solution of one-space dimensional non-linear singular parabolic equations using an O(k 2 + h 4) difference method. International Journal of Computer Mathematics 82:2, pages 203-218.
Read now

Articles from other publishers (14)

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.
Crossref
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.
Crossref
R. K. Mohanty, Geetan Manchanda, Gunjan Khurana & Arshad Khan. (2020) A NEW THIRD ORDER EXPONENTIALLY FITTED DISCRETIZATION FOR THE SOLUTION OF NON-LINEAR TWO POINT BOUNDARY VALUE PROBLEMS ON A GRADED MESH. Journal of Applied Analysis & Computation 10:5, pages 1741-1770.
Crossref
M. Ghasemi. (2017) High order approximations using spline-based differential quadrature method: Implementation to the multi-dimensional PDEs. Applied Mathematical Modelling 46, pages 63-80.
Crossref
R. K. Mohanty & J. Talwar. (2015) A new compact alternating group explicit iteration method for the solution of nonlinear time-dependent viscous Burgers’ equation. Numerical Analysis and Applications 8:4, pages 314-328.
Crossref
Jyoti Talwar & Ranjan Kumar Mohanty. (2014) A Single Sweep AGE Algorithm based on Off-Step Discretization for the Solution of Viscous Burgers’ Equation on a Variable Mesh. Mathematics in Computer Science 9:1, pages 85-103.
Crossref
R. K. Mohanty & J. Talwar. (2015) A new coupled reduced alternating group explicit method for nonlinear singular two-point boundary value problems on a variable mesh. Numerical Analysis and Applications 8:1, pages 55-67.
Crossref
R. K. Mohanty & Jyoti Talwar. (2014) A Single Sweep AGE Algorithm on a Variable Mesh Based on Off-Step Discretization for the Solution of Nonlinear Burgers’ Equation. Journal of Computational Methods in Physics 2014, pages 1-11.
Crossref
R.K. Mohanty & Jyoti Talwar. (2012) A combined approach using coupled reduced alternating group explicit (CRAGE) algorithm and sixth order off-step discretization for the solution of two point nonlinear boundary value problems. Applied Mathematics and Computation 219:1, pages 248-259.
Crossref
Jyoti Talwar & R. K. Mohanty. (2012) A Class of Numerical Methods for the Solution of Fourth-Order Ordinary Differential Equations in Polar Coordinates. Advances in Numerical Analysis 2012, pages 1-20.
Crossref
Christian Grossmann, Ranjan K. Mohanty & Hans-Goerg Roos. (2011) A direct higher order discretization in singular perturbations via domain split – A computational approach. Applied Mathematics and Computation 217:22, pages 9302-9312.
Crossref
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.
Crossref
R.K. Mohanty & Urvashi Arora. (2006) A TAGE iterative method for the solution of non-linear singular two point boundary value problems using a sixth order discretization. Applied Mathematics and Computation 180:2, pages 538-548.
Crossref
R.K. Mohanty, P.L. Sachdev & Navnit Jha. (2004) An O(h4) accurate cubic spline TAGE method for nonlinear singular two point boundary value problems. Applied Mathematics and Computation 158:3, pages 853-868.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.