Approximating the solution of second order differential equation with retarded argument

被引：0

作者：

Bica, A. M. ^{[1
]}

Curila, M. ^{[2
]}

Curila, S. ^{[3
]}

机构：

[1] Univ Oradea, Dept Math & Informat, Oradea 410087, Romania

[2] Univ Oradea, Fac Environm Protect, Oradea 410087, Romania

[3] Univ Oradea, Fac Elect Engn & Informat Technol, Oradea 410087, Romania

来源：

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2010年 / 12卷 / 01期

关键词：

second order delay differential equations; numerical method; fixed point technique; cubic splines;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

A new numerical method for second order nonlinear delay differential equations is constructed. The method combines the fixed point Banach-Picard technique with the trapezoidal quardarature rule and cubic spline interpolation. The effective error estimation of the method which gives a stopping criterion of the algorithm is obtained.

引用

页码：37 / 47

页数：11

共 50 条

[1] A Note on Second Order Differential Equation with Retarded Argument
Sen, Erdogan
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS A-C, 2011, 1389
[2] On higher order differential equation with retarded argument
Pachpatte, B. G.
Differential Equations and Applications, Vol 4, 2007, 4 : 93 - 103
[3] On the stability of a second order retarded differential equation
Pi, Dingheng
APPLIED MATHEMATICS AND COMPUTATION, 2015, 256 : 324 - 333
[4] NONOSCILLATION CRITERIA FOR SECOND ORDER DIFFERENTIAL EQUATIONS WITH RETARDED ARGUMENT
SHERE, KD
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 17 (01): : 145 - &
[5] OSCILLATION OF SECOND-ORDER DIFFERENTIAL EQUATIONS WITH RETARDED ARGUMENT
BOBISUD, LE
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1973, 43 (01) : 201 - 206
[6] Solution with an internal transition layer for a singularly perturbed second-order equation with an advancing and a retarded argument
Ni, Mingkang
Guseva, I. S.
DIFFERENTIAL EQUATIONS, 2014, 50 (06) : 751 - 764
[7] Solution with an internal transition layer for a singularly perturbed second-order equation with an advancing and a retarded argument
Mingkang Ni
I. S. Guseva
Differential Equations, 2014, 50 : 751 - 764
[8] OSCILLATION THEOREMS FOR SECOND-ORDER DIFFERENTIAL EQUATIONS WITH RETARDED ARGUMENT
KUSANO, T
ONOSE, H
PROCEEDINGS OF THE JAPAN ACADEMY, 1974, 50 (5-6): : 342 - 346
[9] NONOSCILLATION OF SECOND-ORDER, LINEAR DIFFERENTIAL EQUATIONS WITH RETARDED ARGUMENT
SHERE, KD
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1973, 41 (02) : 293 - 299
[10] An Inverse Spectral Problem for Second Order Differential Operators with Retarded Argument
V. Yurko
Results in Mathematics, 2019, 74

← 1 2 3 4 5 →