Numerical solution of integro-differential equations using flatlet oblique multiwavelets

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Atıf İçin Kopyala

Darani M., Adibi H., Lakestanı M.

Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, cilt.17, sa.1, ss.55-74, 2010 (Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 17 Sayı: 1
• Basım Tarihi: 2010
• Dergi Adı: Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
• Derginin Tarandığı İndeksler: Scopus
• Sayfa Sayıları: ss.55-74
• Anahtar Kelimeler: Biorthogonal system, Flatlet, Oblique multiwavelets, Operational matrix of derivative
• Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

This paper is concerned with the construction of biorthogonal multi-wavelet basis in the unit interval to form a biorthogonal flatlet multiwavelet system. Next a method to calculating derivatives of the dual flatlet multiwavelets by multiplying some matrices is suggested. The system is then used to integro-differential equations. The biorthogonality and high vanishing moments properties of this system result in efficient and accurate solutions. Finally, numerical results for some test problems with known solutions are presented and the absolute errors are compared with the errors resulting from B-spline bases. Copyright © 2010 Watam Press.