Numerical solution of second-order fuzzy nonlinear two-point boundary value problems using combination of finite difference and Newton’s methods

Neural Computing and Applications ◽

10.1007/s00521-017-2893-z ◽

2017 ◽

Vol 30 (10) ◽

pp. 3167-3175

Author(s):

Ali F. Jameel ◽

Azizan Saaban ◽

Hamzeh H. Zureigat

Keyword(s):

Finite Difference ◽

Numerical Solution ◽

Boundary Value Problems ◽

Boundary Value ◽

Second Order ◽

Point Boundary ◽

Newton's Methods

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Erratum to: “A second order spline finite difference method for singular two-point boundary value problems” [Appl. Math. Comput. 142 (2003) 283–290]

Applied Mathematics and Computation ◽

10.1016/j.amc.2008.12.047 ◽

2009 ◽

Vol 209 (2) ◽

pp. 430

Author(s):

Manoj Kumar

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Boundary Value Problems ◽

Difference Method ◽

Boundary Value ◽

Second Order ◽

Point Boundary ◽

Order Spline ◽

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A second order spline finite difference method for singular two-point boundary value problems

Applied Mathematics and Computation ◽

10.1016/s0096-3003(02)00302-8 ◽

2003 ◽

Vol 142 (2-3) ◽

pp. 283-290 ◽

Author(s):

Manoj Kumar

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Boundary Value Problems ◽

Difference Method ◽

Boundary Value ◽

Second Order ◽

Point Boundary ◽

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Numerical solution of two-point boundary value problems in simultaneous second-order nonlinear ordinary differential equations

Chemical Engineering Science ◽

10.1016/0009-2509(67)80151-9 ◽

1967 ◽

Vol 22 (6) ◽

pp. 871-881 ◽

Author(s):

Shean-Lin Liu

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Second Order ◽

Nonlinear Ordinary Differential Equations ◽

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A numerical solution to nonlinear second order three-point boundary value problems in the reproducing kernel space

Applied Mathematics and Computation ◽

10.1016/j.amc.2011.11.009 ◽

2012 ◽

Vol 218 (14) ◽

pp. 7362-7368 ◽

Author(s):

Yingzhen Lin ◽

Jing Niu ◽

Minggen Cui

Keyword(s):

Numerical Solution ◽

Boundary Value Problems ◽

Reproducing Kernel ◽

Boundary Value ◽

Second Order ◽

Point Boundary ◽

Kernel Space ◽

Reproducing Kernel Space

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Finite Difference Method for Numerical Solution of Two Point Boundary Value Problems with Non-uniform Mesh and Internal Boundary Condition

General Letters in Mathematics ◽

10.31559/glm2018.4.1.2 ◽

2018 ◽

Vol 4 (1) ◽

Author(s):

P. K. Pandey

Keyword(s):

Boundary Condition ◽

Finite Difference ◽

Finite Difference Method ◽

Numerical Solution ◽

Boundary Value Problems ◽

Difference Method ◽

Boundary Value ◽

Internal Boundary ◽

Uniform Mesh ◽

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Positive solution of second-order multi-point boundary value problems for finite difference equation with a p-Laplacian

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-007-0003-6 ◽

2008 ◽

Vol 26 (1-2) ◽

pp. 133-150 ◽

Author(s):

Huihui Pang ◽

Weigao Ge

Keyword(s):

Finite Difference ◽

Difference Equation ◽

Boundary Value Problems ◽

Positive Solution ◽

Boundary Value ◽

Second Order ◽

Point Boundary ◽

Finite Difference Equation

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Higher-order finite-difference methods for nonlinear second-order two-point boundary-value problems

Applied Mathematics Letters ◽

10.1016/s0893-9659(02)00060-5 ◽

2002 ◽

Vol 15 (7) ◽

pp. 897-902 ◽

Author(s):

I.A. Tirmizi ◽

E.H. Twizell

Keyword(s):

Finite Difference ◽

Boundary Value Problems ◽

Boundary Value ◽

Finite Difference Methods ◽

Higher Order ◽

Second Order ◽

Point Boundary ◽

Difference Methods

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Finite Difference Method for Numerical Solution of Two Point Boundary Value Problems with Non-uniform Mesh and Internal Boundary Condition

General Letters in Mathematics ◽

10.31559/glm2016.4.1.2 ◽

2018 ◽

Vol 4 (1) ◽

Author(s):

P. K. Pandey

Keyword(s):

Boundary Condition ◽

Finite Difference ◽

Finite Difference Method ◽

Numerical Solution ◽

Boundary Value Problems ◽

Difference Method ◽

Boundary Value ◽

Internal Boundary ◽

Uniform Mesh ◽

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A second order finite difference method and its convergence for a class of singular two-point boundary value problems

Applied Mathematics and Computation ◽

10.1016/s0096-3003(02)00645-8 ◽

2003 ◽

Vol 146 (2-3) ◽

pp. 873-878 ◽

Author(s):

Manoj Kumar

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Boundary Value Problems ◽

Difference Method ◽

Boundary Value ◽

Second Order ◽

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A Collocation Method for Global Approximation of General Second Order BVPs

Computing Letters ◽

10.1163/157404007779994205 ◽

2007 ◽

Vol 3 (1) ◽

pp. 23-34 ◽

Author(s):

F. Costabile ◽

A. Napoli

Keyword(s):

Numerical Solution ◽

Boundary Value Problems ◽

Collocation Method ◽

Boundary Value ◽

Second Order ◽

Point Boundary ◽

Global Approximation ◽

Numerical Examples

For the numerical solution of the second order nonlinear two-point boundary value problems a family of polynomial global methods is derived.Numerical examples provide favorable comparisons with other existing methods.

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