A Deferred Correction Method for Nonlinear Two-Point Boundary Value Problems: Implementation and Numerical Evaluation

SIAM Journal on Scientific and Statistical Computing ◽

10.1137/0912052 ◽

1991 ◽

Vol 12 (4) ◽

pp. 971-989 ◽

Author(s):

J. R. Cash ◽

M. H. Wright

Keyword(s):

Boundary Value Problems ◽

Numerical Evaluation ◽

Boundary Value ◽

Correction Method ◽

Point Boundary ◽

Deferred Correction

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On the Numerical Integration of Nonlinear Two-Point Boundary Value Problems Using Iterated Deferred Corrections. Part 2: The Development and Analysis of Highly Stable Deferred Correction Formulae

SIAM Journal on Numerical Analysis ◽

10.1137/0725049 ◽

1988 ◽

Vol 25 (4) ◽

pp. 862-882 ◽

Author(s):

J. R. Cash

Keyword(s):

Boundary Value Problems ◽

Numerical Integration ◽

Boundary Value ◽

Point Boundary ◽

Deferred Correction

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A highly stable deferred correction scheme with interpolant for systems of nonlinear two-point boundary value problems

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(02)00873-7 ◽

2003 ◽

Vol 155 (2) ◽

pp. 339-358 ◽

Author(s):

J.R. Cash ◽

D.R. Moore ◽

N. Sumarti ◽

M. Van Daele

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Point Boundary ◽

Deferred Correction ◽

Correction Scheme

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A variable order deferred correction algorithm for the numerical solution of nonlinear two point boundary value problems

Computers & Mathematics with Applications ◽

10.1016/0898-1221(83)90129-3 ◽

1983 ◽

Vol 9 (2) ◽

pp. 257-265 ◽

Author(s):

J.R. Cash

Keyword(s):

Numerical Solution ◽

Boundary Value Problems ◽

Boundary Value ◽

Variable Order ◽

Point Boundary ◽

Correction Algorithm ◽

Deferred Correction

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Continuous extensions of deferred correction schemes for the numerical solution of nonlinear two-point boundary value problems

Applied Numerical Mathematics ◽

10.1016/s0168-9274(98)00045-2 ◽

1998 ◽

Vol 28 (2-4) ◽

pp. 227-244 ◽

Author(s):

J.R. Cash ◽

R.W. Wright

Keyword(s):

Numerical Solution ◽

Boundary Value Problems ◽

Boundary Value ◽

Point Boundary ◽

Deferred Correction

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Correction method and extrapolation method for singular two-point boundary value problems

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(99)00349-0 ◽

2000 ◽

Vol 126 (1-2) ◽

pp. 145-157 ◽

Author(s):

Han Guoqiang ◽

Wang Jiong ◽

Ken Hayami ◽

Xu Yuesheng

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Correction Method ◽

Extrapolation Method ◽

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Lobatto deferred correction for stiff two-point boundary value problems

Computers & Mathematics with Applications ◽

10.1016/s0898-1221(98)80009-6 ◽

1998 ◽

Vol 36 (10-12) ◽

pp. 59-69 ◽

Author(s):

Z. Bashir-Ali ◽

J.R. Cash ◽

H.H.M. Silva

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Point Boundary ◽

Deferred Correction

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Superconvergent Deferred Correction Methods For First Order Systems of Nonlinear Two-Point Boundary Value Problems

SIAM Journal on Scientific Computing ◽

10.1137/s1064827599362004 ◽

2001 ◽

Vol 22 (5) ◽

pp. 1697-1716 ◽

Author(s):

Marnix Van Daele ◽

Jeff R. Cash

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Point Boundary ◽

Deferred Correction ◽

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Harmonic numbers operational matrix for solving fifth-order two point boundary value problems

Tbilisi Mathematical Journal ◽

10.32513/tbilisi/1529460019 ◽

2018 ◽

Vol 11 (2) ◽

pp. 17-33

Author(s):

Y. H. Youssri ◽

W. M. Abd-Elhameed

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Operational Matrix ◽

Point Boundary ◽

Harmonic Numbers ◽

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Positive Solutions of Singular Superlinear (k,n-k) Multi-Point Boundary Value Problems

Acta Analysis Functionalis Applicata ◽

10.3724/sp.j.1160.2010.00017 ◽

2010 ◽

Vol 12 (1) ◽

pp. 17-20

Author(s):

Yujun CUI ◽

Xingdong TANG ◽

Feng WANG

Keyword(s):

Boundary Value Problems ◽

Positive Solutions ◽

Boundary Value ◽

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SOLUTION OF NONLINEAR SECOND ORDER MULTI-POINT BOUNDARY VALUE PROBLEMS BY SHOOTING TYPE DIFFERENTIAL TRANSFORM ALGORITHM

Advances in Mathematics: Scientific Journal ◽

10.37418/amsj.9.6.97 ◽

2020 ◽

Vol 9 (6) ◽

pp. 4155-4164

Author(s):

S. George ◽

T. R. Sivakumar ◽

D. S. Dilip

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Second Order ◽

Point Boundary ◽

Differential Transform

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