79
Views
15
CrossRef citations to date
0
Altmetric
Original Articles

A Fourth Order Accurate Cubic Spline Alternating Group Explicit Method For Non-Linear Singular Two Point Boundary Value Problems*

&
Pages 479-492 | Published online: 15 Sep 2010

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

Read on this site (4)

R. K. Mohanty, Ravindra Kumar & Nikita Setia. (2021) Cubic spline approximation based on half-step discretization for 2D quasilinear elliptic equations. International Journal for Computational Methods in Engineering Science and Mechanics 22:1, pages 45-59.
Read now
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
R. K. Mohanty & M. K. Jain. (2009) High-accuracy cubic spline alternating group explicit methods for 1D quasi-linear parabolic equations† . International Journal of Computer Mathematics 86:9, pages 1556-1571.
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

Articles from other publishers (11)

N. Balasubramani, M. Guru Prem Prasad & S. Natesan. (2020) Fractal Cubic Spline Methods for Singular Boundary-Value Problems. International Journal of Applied and Computational Mathematics 6:2.
Crossref
Ranjan Kumar Mohanty, Sucheta Nayak & Arshad Khan. (2017) Non-polynomial cubic spline discretization for system of non-linear singular boundary value problems using variable mesh. Advances in Difference Equations 2017:1.
Crossref
Jyoti Talwar & R. K. Mohanty. (2014) Coupled Reduced Alternating Group Explicit Algorithm for Third Order Cubic Spline Method on a Non-uniform Mesh for Nonlinear Singular Two Point Boundary Value Problems. Proceedings of the National Academy of Sciences, India Section A: Physical Sciences 85:1, pages 71-81.
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. (2013) SWAGE algorithm for the cubic spline solution of nonlinear viscous Burgers’ equation on a geometric mesh. Results in Physics 3, pages 195-204.
Crossref
R.K. Mohanty, M.K. Jain & Deepika Dhall. (2013) High accuracy cubic spline approximation for two dimensional quasi-linear elliptic boundary value problems. Applied Mathematical Modelling 37:1-2, pages 155-171.
Crossref
R. K. Mohanty, Rajive Kumar & Vijay Dahiya. (2012) Cubic Spline Iterative Method for Poisson’s Equation in Cylindrical Polar Coordinates. ISRN Mathematical Physics 2012, pages 1-11.
Crossref
Ranjan K Mohanty & Jyoti Talwar. (2012) Compact alternating group explicit method for the cubic spline solution of two point boundary value problems with significant nonlinear first derivative terms. Mathematical Sciences 6:1, pages 58.
Crossref
R.K. Mohanty, M.K. Jain & Deepika Dhall. (2011) A cubic spline approximation and application of TAGE iterative method for the solution of two point boundary value problems with forcing function in integral form. Applied Mathematical Modelling 35:6, pages 3036-3047.
Crossref
Manoj Kumar & Yogesh Gupta. (2009) Methods for solving singular boundary value problems using splines: a review. Journal of Applied Mathematics and Computing 32:1, pages 265-278.
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

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:

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:

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.