A Efficient Computational Method for Solving Stochastic Itô-Volterra Integral Equations

Yıl 2015, Cilt: 5 Sayı: 2, 286 - 297, 01.12.2015

F. Mohammadi

Öz

In this paper, a new stochastic operational matrix for the Legendre wavelets is presented and a general procedure for forming this matrix is given. A computational method based on this stochastic operational matrix is proposed for solving stochastic It^o-Voltera integral equations. Convergence and error analysis of the Legendre wavelets basis are investigated. To reveal the accuracy and eciency of the proposed method some numerical examples are included.

Anahtar Kelimeler

Legendre wavelets, It^o integral, Stochastic operational matrix, Stochastic It^o-Volterra integral equations.

Kaynakça

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