Haar Wavelet Operational Matrix Method to Solve Initial Value Problems: A Short Survey

被引：0

作者：

Jena M.K. ^{[1
]}

Sahu K.S. ^{[1
]}

机构：

[1] Department of Mathematics, Veer Surendra Sai University of Technology, Burla, Sambalpur, 768018, Odisha

来源：

International Journal of Applied and Computational Mathematics | 2017年 / 3卷 / 4期

关键词：

Differential equation; Haar wavelet; Operational matrix;

D O I：

10.1007/s40819-016-0265-5

中图分类号：

学科分类号：

摘要：

In this paper we give a short survey of Haar wavelet operational matrix method which is used to solve initial value problems up to second order, both linear and nonlinear. First we give a short review of Haar wavelet and operational matrices obtained from it. We then describe the method for linear and nonlinear ordinary differential equations both for first and second order. At the end, we provide a stability analysis and it is shown that the proposed method is of second order. © 2016, Springer India Pvt. Ltd.

引用

页码：3961 / 3975

页数：14

共 50 条

[31] AN OPERATIONAL HAAR WAVELET METHOD FOR SOLVING FRACTIONAL VOLTERRA INTEGRAL EQUATIONS
Saeedi, Habibollah
Mollahasani, Nasibeh
Moghadam, Mahmoud Mohseni
Chuev, Gennady N.
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2011, 21 (03) : 535 - 547
[32] Dirac's formalism combined with complex Fourier operational matrices to solve initial and boundary value problems
Labecca, William
Guimaraes, Osvaldo
Piqueira, Jose Roberto C.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2014, 19 (08) : 2614 - 2623
[33] A METHOD TO SOLVE BOUNDARY VALUE PROBLEMS
陈振诚
Science Bulletin, 1981, (01) : 16 - 23
[34] An efficient operational matrix technique to solve the fractional order non-local boundary value problems
Kumar, Saurabh
Gupta, Vikas
Gomez-Aguilar, J. F.
JOURNAL OF MATHEMATICAL CHEMISTRY, 2022, 60 (08) : 1463 - 1479
[35] An efficient operational matrix technique to solve the fractional order non-local boundary value problems
Saurabh Kumar
Vikas Gupta
J. F. Gómez-Aguilar
Journal of Mathematical Chemistry, 2022, 60 : 1463 - 1479
[36] Parameter identification of fractional order linear system based on Haar wavelet operational matrix
Li, Yuanlu
Meng, Xiao
Zheng, Bochao
Ding, Yaqing
ISA TRANSACTIONS, 2015, 59 : 79 - 84
[37] Parameter Identification of Fractional Order Nonlinear System Based on Haar Wavelet Operational Matrix
Li, Yuanlu
Jiang, Min
Li, Jun
PROCEEDINGS OF THE 2017 INTERNATIONAL CONFERENCE ON APPLIED MATHEMATICS, MODELING AND SIMULATION (AMMS 2017), 2017, 153 : 5 - 9
[38] Application of Haar's wavelets in the method of moments to solve electrostatic problems
Belardi, AA
Cardoso, JR
Sartori, CAF
COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING, 2004, 23 (03) : 606 - 612
[39] A Legendre Wavelet Spectral Collocation Method for Solving Oscillatory Initial Value Problems
Dizicheh, A. Karimi
Ismail, F.
Kajani, M. Tavassoli
Maleki, Mohammad
JOURNAL OF APPLIED MATHEMATICS, 2013,
[40] The Legendre wavelet method for solving initial value problems of Bratu-type
Venkatesh, S. G.
Ayyaswamy, S. K.
Balachandar, S. Raja
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 63 (08) : 1287 - 1295

← 1 2 3 4 5 →