On the Derivation of Second Order Variable Step Variable Order Block Backward Differentiation Formulae for Solving Stiff ODEs

被引：0

作者：

Yatim, Siti Ainor Mohd ^{[1
]}

Ibrahim, Zarina Bibi ^{[1
]}

Othman, Khairil Iskandar ^{[1
]}

Suleiman, Mohamed ^{[1
]}

机构：

[1] Univ Sains Malaysia, Sch Distance Educ, George Town 11800, Malaysia

来源：

INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND STATISTICS 2013 (ICMSS2013) | 2013年 / 1557卷

关键词：

Stiff ODEs; BBDF methods; Second Order ODEs; INITIAL-VALUE PROBLEMS; EQUATIONS;

D O I：

10.1063/1.4823931

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we derive a second order Variable Step Variable Order Block Backward Differentiation Formulae (VSVO-BBDF (2)). This method pertains to the study of solving stiff Ordinary Differential Equations (ODEs) of second order (y ''). The pertinent findings in term of total number of steps, accuracy and computational time are displayed and discussed through distinct tables.

引用

页码：335 / 338

页数：4

共 50 条

[31] Parallel Implementation of Fourth Order Block Backward Differentiation Formulas for Solving System of Stiff Ordinary Differential Equations
Ibrahim, Zarina Bibi
Nasir, Nor Ain Azeany Mohd
Othman, Khairil Iskandar
Suleiman, Mohamed
PROCEEDINGS OF THE 20TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM20): RESEARCH IN MATHEMATICAL SCIENCES: A CATALYST FOR CREATIVITY AND INNOVATION, PTS A AND B, 2013, 1522 : 102 - 109
[32] Derivation of Diagonally Implicit Block Backward Differentiation Formulas for Solving Stiff Initial Value Problems
Zawawi, Iskandar Shah Mohd
Ibrahim, Zarina Bibi
Othman, Khairil Iskandar
MATHEMATICAL PROBLEMS IN ENGINEERING, 2015, 2015
[33] Special Second Order Stiff Delay Differential Equations Directly Solved by Using Variable Stepsize Variable Order Technique
Isa, Nora Baizura Mohd
Ishak, Fuziyah
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON MATHEMATICS, ENGINEERING AND INDUSTRIAL APPLICATIONS 2018 (ICOMEIA 2018), 2018, 2013
[34] Three-stage Hermite-Birkhoff solver of order 8 and 9 with variable step size for stiff ODEs
Truong Nguyen-Ba
Giordano, Thierry
Vaillancourt, Remi
CALCOLO, 2015, 52 (03) : 371 - 405
[35] High order fractional backward differentiation formulae
Zhao, Jingjun
Long, Teng
Xu, Yang
APPLICABLE ANALYSIS, 2017, 96 (10) : 1669 - 1680
[36] LINEAR IMPLICIT DIFFERENTIATION FORMULAS OF VARIABLE STEP AND ORDER
VANBOKHOVEN, WMG
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1975, CA22 (02): : 109 - 115
[37] On solving some classes of second order ODEs
AlAhmad, Rami
Al-Jararha, Mohammadkheer
ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2021, (45): : 673 - 688
[38] Diagonally Implicit Block Backward Differentiation Formula for Solving Linear Second Order Ordinary Differential Equations
Zainuddin, N.
Ibrahim, Z. B.
Othman, K. I.
3RD INTERNATIONAL CONFERENCE ON FUNDAMENTAL AND APPLIED SCIENCES (ICFAS 2014): INNOVATIVE RESEARCH IN APPLIED SCIENCES FOR A SUSTAINABLE FUTURE, 2014, 1621 : 69 - 75
[39] Higher Order Block Backward Differentiation Formula for Solving Third Order Ordinary Differential Equations
Asnor, Asma Izzati
Yatim, Siti Ainor Mohd
Ibrahim, Zarina Bibi
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND TECHNOLOGY 2018 (MATHTECH 2018): INNOVATIVE TECHNOLOGIES FOR MATHEMATICS & MATHEMATICS FOR TECHNOLOGICAL INNOVATION, 2019, 2184
[40] Variable-order, variable-step methods for second-order initial-value problems
Khiyal, MSH
Thomas, RM
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1997, 79 (02) : 263 - 276

← 1 2 3 4 5 →