An operational Haar wavelet method for solving fractional Volterra integral equations

• Autorzy: Saeedi H. , Mollahasani N. , Mohseni Moghadam M. , Chuev G. N.
• Języki publikacji: EN

Abstrakty

EN

A Haar wavelet operational matrix is applied to fractional integration, which has not been undertaken before. The Haar wavelet approximating method is used to reduce the fractional Volterra and Abel integral equations to a system of algebraic equations. A global error bound is estimated and some numerical examples with smooth, nonsmooth, and singular solutions are considered to demonstrate the validity and applicability of the developed method.

Słowa kluczowe

EN

fractional Volterra integral equation; Abel integral equation; fractional calculus; Haar wavelet method; operational matrices

PL

równanie całkowe; równanie całkowe Abela; rachunek ułamkowy; macierz operacyjna

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2011
• Tom: Vol. 21, no 3
• Strony: 535--547
• Opis fizyczny: Bibliogr. 33 poz., tab., wykr.

Twórcy

autor

Saeedi H.

autor

Mollahasani N.

autor

Mohseni Moghadam M.

autor

Chuev G. N.

• Department of Mathematics, Faculty of Mathematics and Computer Science, Shahid Bahonar University of Kerman, Kerman, 76169-14111, Iran,

Bibliografia

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