Numerical solution of nonlinear Volterra integro-differential equations of arbitrary order by CAS wavelets

被引：81

作者：

Saeedi, H. ^{[1
]}

Moghadam, M. Mohseni ^{[2
]}

机构：

[1] Sahid Bahonar Univ Kerman, Dept Math, Kerman, Iran

[2] Sahid Bahonar Univ Kerman, Mahani Math Res Ctr, Kerman, Iran

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2011年 / 16卷 / 03期

关键词：

Fractional calculus; CAS wavelet; Nonlinear integro-differential equation; Block pulse function; Operational matrix;

D O I：

10.1016/j.cnsns.2010.07.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A computational method for numerical solution of a nonlinear Volterra integro-differential equation of fractional (arbitrary) order which is based on CAS wavelets and BPFs is introduced. The CAS wavelet operational matrix of fractional integration is derived and used to transform the main equation to a system of algebraic equations. Some examples are included to demonstrate the validity and applicability of the technique. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：1216 / 1226

页数：11

共 50 条

[31] Numerical Solution of Weakly Singular Linear Volterra Integro-differential Equations
P. Baratella
A. Palamara Orsi
[J]. Computing, 2006, 77 : 77 - 96
[32] HYBRID METHODS IN THE NUMERICAL-SOLUTION OF VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS
MAKROGLOU, A
[J]. IMA JOURNAL OF NUMERICAL ANALYSIS, 1982, 2 (01) : 21 - 35
[33] Numerical solution of weakly singular linear Volterra integro-differential equations
Baratella, P
Orsi, AP
[J]. COMPUTING, 2006, 77 (01) : 77 - 96
[34] A Numerical Scheme for Solving Nonlinear Fractional Volterra Integro-Differential Equations
Rahimkhani, Parisa
Ordokhani, Yadollah
Babolian, Esmail
[J]. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, 2018, 13 (02): : 111 - 132
[35] An Iterative Scheme for Solving Arbitrary-Order Nonlinear Volterra Integro-Differential Equations Involving Delay
Ghosh, Bappa
Mohapatra, Jugal
[J]. IRANIAN JOURNAL OF SCIENCE, 2023, 47 (03) : 851 - 861
[36] On One Investigation of Numerical Solution of Integro-Differential Equations of Volterra Type
Mehdiyeva, Galina
Ibrahimov, Vagif
Imanova, Mehriban
[J]. 2012 IV INTERNATIONAL CONFERENCE PROBLEMS OF CYBERNETICS AND INFORMATICS (PCI), 2012,
[37] An Iterative Scheme for Solving Arbitrary-Order Nonlinear Volterra Integro-Differential Equations Involving Delay
Bappa Ghosh
Jugal Mohapatra
[J]. Iranian Journal of Science, 2023, 47 : 851 - 861
[38] Wavelets method for solving systems of nonlinear singular fractional Volterra integro-differential equations
Heydari, M. H.
Hooshmandasl, M. R.
Mohammadi, F.
Cattani, C.
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2014, 19 (01) : 37 - 48
[39] Fractional-order orthogonal Bernstein polynomials for numerical solution of nonlinear fractional partial Volterra integro-differential equations
Mirzaee, Farshid
Alipour, Sahar
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (06) : 1870 - 1893
[40] Approximation of the solution of nonlinear second order integro-differential equations
Ahmad, B
Al-Saedi, A
Sivasundaram, S
[J]. DYNAMIC SYSTEMS AND APPLICATIONS, 2005, 14 (02): : 253 - 263

← 1 2 3 4 5 →