zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Numerical solution of linear Fredholm integral equation by using hybrid Taylor and Block-Pulse functions. (English) Zbl 1038.65147
Summary: We use a combination of Taylor and block-pulse functions on the interval $[0,1]$, that is called hybrid functions, to estimate the solution of a linear Fredholm integral equation of the second kind. We convert the integral equation to a system of linear equations, and by using numerical examples we show our estimation have a good degree of accuracy.

65R20Integral equations (numerical methods)
45B05Fredholm integral equations
Full Text: DOI
[1] Datta, K. B.; Mohan, B. M.: Orthogonal function in systems and control. (1995) · Zbl 0866.93003
[2] Delves, L. M.; Mohammed, J. L.: Computational methods for integral equations. (1983)
[3] Jung, Z. H.; Schanfelberger, W.: Block-pulse functions and their applications in control systems. (1992)
[4] Maleknejad, K.; Hadizadeh, M.: A new computational method for Volterra--Hammerstein integral equations. Computers mathematics and applications 37, 1-8 (1999) · Zbl 0940.65151
[5] K. Maleknejad, M.K. Tavassoli, Y. Mahmoudi, Numerical solution of linear Fredholm and Voltera integral equation of the second kind by using Legandre wavelets, Journal of Sciences, Islamic Republic of Iran (to appear)
[6] Razzaghi, M.; Arabshahi, A.: Optimal control of linear distributed-parameter system via polynomial series. International journal of system science 20, 1141-1148 (1989) · Zbl 0678.49024