MODIFIED ADOMIAN DECOMPOSITION METHOD FOR DOUBLE SINGULAR BOUNDARY VALUE PROBLEMS

被引：0

作者：

Lin, Yinwei ^{[1
]}

Chen, Cha'o-Kuang ^{[2
]}

机构：

[1] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan

[2] Natl Cheng Kung Univ, Dept Mech Engn, Tainan 70101, Taiwan

来源：

ROMANIAN JOURNAL OF PHYSICS | 2014年 / 59卷 / 5-6期

关键词：

Adomian decomposition method; singular boundary value problem; analytic solution; EIGENVALUE PROBLEM SOLVER; FREE-VIBRATION; EQUATION; SOLITONS; APPROXIMATE; EXISTENCE; BEAMS; KINKS;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper deals with the double singular boundary value problems of second order. The differential equation has two singular points and the singular points are just the boundary points. Nonlinear models are solved by this method to get more reliable and efficient numerical results. It can also be used to solve singular boundary value problems where the traditional methods fail.

引用

页码：443 / 453

页数：11

共 50 条

[41] An adaptation of the modified decomposition method in solving nonlinear initial-boundary value problems for ODEs
Lazhar Bougoffa
Randolph C. Rach
[J]. Journal of Applied Mathematics and Computing, 2022, 68 : 2787 - 2802
[42] Solution of the model of beam-type micro- and nano-scale electrostatic actuators by a new modified Adomian decomposition method for nonlinear boundary value problems
Duan, Jun-Sheng
Rach, Randolph
Wazwaz, Abdul-Majid
[J]. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2013, 49 : 159 - 169
[43] Comparison of the Adomian decomposition method and the variational iteration method in solving the moving boundary problem
Hetmaniok, Edyta
Slota, Damian
Witula, Roman
Zielonka, Adam
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (08) : 1931 - 1934
[44] Boundary value problems with singular φ-Laplacians
Sedziwy, Stanislaw
[J]. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2021, 28 (01) : 21 - 27
[45] Solving nonlocal initial-boundary value problems for linear and nonlinear parabolic and hyperbolic partial differential equations by the Adomian decomposition method
Bougoffa, Lazhar
Rach, Randolph C.
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2013, 225 : 50 - 61
[46] Second order singular boundary value problems with integral boundary conditions
Kong, Lingju
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (05) : 2628 - 2638
[47] A New Treatment of the Decomposition Method for Nonclassical Boundary Value Problems
Yucel, M.
Mukhtarov, O. Sh.
[J]. JOURNAL OF ADVANCED PHYSICS, 2018, 7 (02) : 161 - 166
[48] A difference method for singular two-point boundary value problems
Kumar, M
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2003, 146 (2-3) : 879 - 884
[49] AN INTEGRAL METHOD FOR THE NUMERICAL SOLUTION OF NONLINEAR SINGULAR BOUNDARY VALUE PROBLEMS
Bulatov, M. V.
Lima, P. M.
Do Tien, Thanh
[J]. BULLETIN OF THE SOUTH URAL STATE UNIVERSITY SERIES-MATHEMATICAL MODELLING PROGRAMMING & COMPUTER SOFTWARE, 2015, 8 (04): : 5 - 13
[50] Modified Differential Transform Method for Two Singular Boundary Values Problems
Lin, Yinwei
Tang, Hsiang-Wen
Chen, Cha'o-Kuang
[J]. JOURNAL OF APPLIED MATHEMATICS, 2014,

← 1 2 3 4 5 →