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 ◽

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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 ◽

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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 ◽

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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 ◽

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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 ◽

10.11948/20190187 ◽

2020 ◽

Vol 10 (5) ◽

pp. 1741-1770

Author(s):

R. K. Mohanty ◽

◽

Geetan Manchanda ◽

Gunjan Khurana ◽

Arshad Khan ◽

...

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Point Boundary ◽

Third Order ◽

Graded Mesh ◽

Exponentially Fitted

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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 ◽

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Application of TAGE iterative algorithms to an efficient third order arithmetic average variable mesh discretization for two-point non-linear boundary value problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2005.01.134 ◽

2006 ◽

Vol 172 (1) ◽

pp. 148-162 ◽

Author(s):

R.K. Mohanty ◽

Noopur Khosla

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Iterative Algorithms ◽

Linear Boundary ◽

Third Order ◽

Arithmetic Average ◽

Variable Mesh ◽

Order Arithmetic

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Numerical Solution of a Linear Third Order Multi-Point Boundary Value Problems Using Fixed Point Iterative Method

Applied Mathematics & Information Sciences ◽

10.18576/amis/120318 ◽

2018 ◽

Vol 12 (3) ◽

pp. 625-631

Author(s):

Nakone Bello ◽

Abubakar Roko ◽

Aminu Mustafa

Keyword(s):

Fixed Point ◽

Iterative Method ◽

Numerical Solution ◽

Boundary Value Problems ◽

Boundary Value ◽

Point Boundary ◽

Third Order ◽

Fixed Point Iterative Method

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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

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A family of variable mesh methods for the estimates of (du/dr) and solution of non-linear two point boundary value problems with singularity

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2004.11.045 ◽

2005 ◽

Vol 182 (1) ◽

pp. 173-187 ◽

Author(s):

R.K. Mohanty

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Point Boundary ◽

Variable Mesh ◽

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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 ◽

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