Tau approximate solution of weakly singular Volterra integral equations with Legendre wavelet basis

被引：7

作者：

Pourgholi, Reza ^{[1
]}

Tahmasebi, Ali ^{[1
]}

Azimi, Ruhangiz ^{[1
]}

机构：

[1] Damghan Univ, Sch Math & Comp Sci, Damghan, Iran

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2017年 / 94卷 / 07期

关键词：

Weakly singular volterra integral equations; tau method; legendre wavelet basis; error estimation; 45B05; 74G10; NUMERICAL-SOLUTION;

D O I：

10.1080/00207160.2016.1190010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a spectral Tau method based on Legendre Wavelet basis is proposed. For this purpose we present a stable operational Tau method based on Legendre Wavelet basis. This method provides an efficient approximate solution for weakly singular Volterra integral equations by using reduced set of matrix operations. An error estimation of the Tau method is also introduced. Finally we demonstrate the validity and applicability of the method by numerical examples.

引用

页码：1337 / 1348

页数：12

共 50 条

[1] Tau approximate solution of weakly singular Volterra integral equations
Vanani, S. Karimi
Soleymani, F.
MATHEMATICAL AND COMPUTER MODELLING, 2013, 57 (3-4) : 494 - 502
[2] Tau approximation method for the weakly singular Volterra-Hammerstein integral equations
Ahmadabadi, M. Nili
Dastjerdi, H. Laeli
APPLIED MATHEMATICS AND COMPUTATION, 2016, 285 : 241 - 247
[3] Solution of nonlinear weakly singular Volterra integral equations using the fractional-order Legendre functions and pseudospectral method
Eshaghi, Jafar
Adibi, Hojatollah
Kazem, Saeed
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (12) : 3411 - 3425
[4] Legendre spectral projection methods for linear second kind Volterra integral equations with weakly singular kernels
Chakraborty, Samiran
Kant, Kapil
Nelakanti, Gnaneshwar
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2022, 13 (02): : 1377 - 1397
[5] Series expansion method for weakly singular Volterra integral equations
Gu, Zhendong
Guo, Xiaojing
Sun, Daochun
APPLIED NUMERICAL MATHEMATICS, 2016, 105 : 112 - 123
[6] Multiscale approximation of the solution of weakly singular second kind Fredholm integral equation in Legendre multiwavelet basis
Paul, Swaraj
Panja, M. M.
Mandal, B. N.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2016, 300 : 275 - 289
[7] Multistep Collocation Methods for Volterra Integral Equations with Weakly Singular Kernels
Zhao, Jingjun
Long, Teng
Xu, Yang
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2019, 9 (01) : 67 - 86
[8] A Nystrom interpolant for some weakly singular linear Volterra integral equations
Baratella, Paola
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 231 (02) : 725 - 734
[9] Approximation methods for second kind weakly singular Volterra integral equations
Kant, Kapil
Nelakanti, Gnaneshwar
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2020, 368
[10] The approximate solution of nonlinear Volterra integral equations of the second kind using radial basis functions
Assari, Pouria
Dehghan, Mehdi
APPLIED NUMERICAL MATHEMATICS, 2018, 131 : 140 - 157

← 1 2 3 4 5 →