A Combined Arithmetic Average Discretization and TAGE Iterative Method for Non-linear Two Point Boundary Value Problems with a Source Function in Integral Form

Differential Equations and Dynamical Systems ◽

10.1007/s12591-012-0140-8 ◽

2012 ◽

Vol 20 (4) ◽

pp. 423-440 ◽

Author(s):

R. K. Mohanty

Keyword(s):

Iterative Method ◽

Boundary Value Problems ◽

Source Function ◽

Boundary Value ◽

Integral Form ◽

Point Boundary ◽

Arithmetic Average ◽

Download Full-text

High Accuracy Arithmetic Average Discretization for Non-Linear Two Point Boundary Value Problems with a Source Function in Integral Form

Applied Mathematics ◽

10.4236/am.2011.210173 ◽

2011 ◽

Vol 02 (10) ◽

pp. 1243-1251

Author(s):

Ranjan K. Mohanty ◽

Deepika Dhall

Keyword(s):

Boundary Value Problems ◽

Source Function ◽

Boundary Value ◽

Integral Form ◽

High Accuracy ◽

Point Boundary ◽

Arithmetic Average ◽

Download Full-text

Third order accurate variable mesh discretization and application of TAGE iterative method for the non-linear two-point boundary value problems with homogeneous functions in integral form

Applied Mathematics and Computation ◽

10.1016/j.amc.2009.07.046 ◽

2009 ◽

Vol 215 (6) ◽

pp. 2024-2034 ◽

Author(s):

R.K. Mohanty ◽

Deepika Dhall

Keyword(s):

Iterative Method ◽

Boundary Value Problems ◽

Boundary Value ◽

Integral Form ◽

Point Boundary ◽

Third Order ◽

Homogeneous Functions ◽

Variable Mesh ◽

Download Full-text

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 ◽

10.1016/j.amc.2005.12.038 ◽

2006 ◽

Vol 180 (2) ◽

pp. 538-548 ◽

Author(s):

R.K. Mohanty ◽

Urvashi Arora

Keyword(s):

Iterative Method ◽

Boundary Value Problems ◽

Boundary Value ◽

Sixth Order ◽

Point Boundary ◽

Download Full-text

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 ◽

10.1016/j.apm.2010.12.013 ◽

2011 ◽

Vol 35 (6) ◽

pp. 3036-3047 ◽

Author(s):

R.K. Mohanty ◽

M.K. Jain ◽

Deepika Dhall

Keyword(s):

Iterative Method ◽

Boundary Value Problems ◽

Boundary Value ◽

Spline Approximation ◽

Integral Form ◽

Cubic Spline ◽

Point Boundary ◽

Forcing Function

Download Full-text

A sixth order accurate AGE iterative method for non-linear singular two point boundary value problems

Journal of Computational Methods in Sciences and Engineering ◽

10.3233/jcm-2006-61-406 ◽

2006 ◽

Vol 6 (1-4) ◽

pp. 57-69 ◽

Author(s):

R.K. Mohanty ◽

D.J. Evans ◽

Navnit Jha

Keyword(s):

Iterative Method ◽

Boundary Value Problems ◽

Boundary Value ◽

Sixth Order ◽

Point Boundary ◽

Download Full-text

Numerov's method for non-linear two-point boundary value problems

International Journal of Computer Mathematics ◽

10.1080/00207168508803459 ◽

1985 ◽

Vol 17 (2) ◽

pp. 167-176 ◽

Author(s):

M.M. Chawla ◽

P.N. Shivakumar

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Point Boundary ◽

Download Full-text

A third-order-accurate variable-mesh TAGE iterative method for the numerical solution of two-point non-linear singular boundary value problems

International Journal of Computer Mathematics ◽

10.1080/00207160500113504 ◽

2005 ◽

Vol 82 (10) ◽

pp. 1261-1273 ◽

Author(s):

R. K. Mohanty ◽

N. Khosla

Keyword(s):

Iterative Method ◽

Numerical Solution ◽

Boundary Value Problems ◽

Boundary Value ◽

Singular Boundary ◽

Singular Boundary Value Problems ◽

Third Order ◽

Variable Mesh ◽

Download Full-text

A sixth order tridiagonal finite difference method for non-linear two-point boundary value problems

BIT Numerical Mathematics ◽

10.1007/bf01932284 ◽

1977 ◽

Vol 17 (2) ◽

pp. 128-133 ◽

Author(s):

M. M. Chawla

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Boundary Value Problems ◽

Difference Method ◽

Boundary Value ◽

Sixth Order ◽

Point Boundary ◽

Download Full-text

On finding solutions of two-point boundary value problems for a class of non-linear functional differential systems

10.14232/ejqtde.2012.3.13 ◽

2012 ◽

Author(s):

András Rontó ◽

Miklós I. Rontó ◽

Nataliya Shchobak

Keyword(s):

Boundary Value Problems ◽

Linear Functional ◽

Boundary Value ◽

Point Boundary ◽

Differential Systems ◽

Functional Differential Systems ◽

Functional Differential

Download Full-text

Singular non-linear two-point boundary value problems: Existence and uniqueness

Nonlinear Analysis ◽

10.1016/j.na.2008.11.045 ◽

2009 ◽

Vol 71 (3-4) ◽

pp. 1059-1072 ◽

Author(s):

William F. Ford ◽

James A. Pennline

Keyword(s):

Boundary Value Problems ◽

Existence And Uniqueness ◽

Boundary Value ◽

Point Boundary ◽

Download Full-text