Sign in
Author

Conference

Journal

Organization

Year

DOI
Look for results that meet for the following criteria:
since
equal to
before
between
and
Search in all fields of study
Limit my searches in the following fields of study
Agriculture Science
Arts & Humanities
Biology
Chemistry
Computer Science
Economics & Business
Engineering
Environmental Sciences
Geosciences
Material Science
Mathematics
Medicine
Physics
Social Science
Multidisciplinary
Keywords
(6)
Approximate Solution
Error Bound
Numerical Method
Numerical Solution
Singular Integral Equation
volterra integral equation
Subscribe
Academic
Publications
A new approach to the numerical solution of Volterra integral equations by using Bernstein’s approximation
A new approach to the numerical solution of Volterra integral equations by using Bernstein’s approximation,10.1016/j.cnsns.2010.05.006,Communications
Edit
A new approach to the numerical solution of Volterra integral equations by using Bernstein’s approximation
(
Citations: 3
)
BibTex

RIS

RefWorks
Download
K. Maleknejad
,
E. Hashemizadeh
,
R. Ezzati
In this paper, we present a
numerical method
for solving Volterra integral equations of the second kind (VK2), first kind (VK1) and even singular type of these equations. The proposed method is based on approximating unknown function with Bernstein’s approximation. This method using simple computation with quite acceptable approximate solution. Furthermore we get an estimation of
error bound
for this method. For showing efficiency of this method we use several examples.
Journal:
Communications in Nonlinear Science and Numerical Simulation  COMMUN NONLINEAR SCI NUMER SI
, vol. 16, no. 2, pp. 647655, 2011
DOI:
10.1016/j.cnsns.2010.05.006
Cumulative
Annual
View Publication
The following links allow you to view full publications. These links are maintained by other sources not affiliated with Microsoft Academic Search.
(
www.sciencedirect.com
)
(
adsabs.harvard.edu
)
(
linkinghub.elsevier.com
)
References
(15)
A heatconduction problem
(
Citations: 8
)
M. A. Bartoshevich
Journal:
Journal of Engineering Physics
, vol. 28, no. 2, pp. 240244, 1975
Numerical solution of Abel’s integral equation by using Legendre wavelets
(
Citations: 8
)
Sohrab Ali Yousefi
Journal:
Applied Mathematics and Computation  AMC
, vol. 175, no. 1, pp. 574580, 2006
On the unsteady Poiseuille flow in a pipe
(
Citations: 5
)
G. P. Galdi
,
K. Pileckas
,
A. L. Silvestre
Journal:
Zeitschrift Fur Angewandte Mathematik Und Physik  ZAMP
, vol. 58, no. 6, pp. 9941007, 2007
A Nyström interpolant for some weakly singular linear Volterra integral equations
(
Citations: 1
)
Paola Baratella
Journal:
Journal of Computational and Applied Mathematics  J COMPUT APPL MATH
, vol. 231, no. 2, pp. 725734, 2009
Analytical solution for the electroelastic dynamics of a nonhomogeneous spherically isotropic piezoelectric hollow sphere
(
Citations: 6
)
H. J. Ding
,
H. M. Wang
,
W. Q. Chen
Journal:
Archive of Applied Mechanics  ARCH APPL MECH
, vol. 73, no. 1, pp. 4962, 2003
Sort by:
Citations
(3)
Integrals of Bernstein polynomials: An application for the solution of high evenorder differential equations
(
Citations: 2
)
E. H. Doha
,
A. H. Bhrawy
,
M. A. Saker
Journal:
Applied Mathematics Letters
, vol. 24, no. 4, pp. 559565, 2011
Update of the Solar Concentrator Advanced Development Project
R. D. Corrigan
,
T. T. Peterson
,
D. T. Ehresman
Conference:
Energy Conversion Engineering Intersociety Conference  IECEC
, 1989
Focussed partially adaptive broadband beamforming via spatial resampling
J. Krolik
,
D. Swingler
Conference:
Multidimensional Signal Processing Workshop  MDSP
, 1989