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- W3081781787 abstract "In this paper, a new computational scheme based on operational matrices (OMs) of two-dimensional wavelets is proposed for the solution of variable-order (VO) fractional partial integro-differential equations (PIDEs). To accomplish this method, first OMs of integration and VO fractional derivative (FD) have been derived using two-dimensional Legendre wavelets. By implementing two-dimensional wavelets approximations and the OMs of integration and variable-order fractional derivative (VO-FD) along with collocation points, the VO fractional partial PIDEs are reduced into the system of algebraic equations. In addition to this, some useful theorems are discussed to establish the convergence analysis and error estimate of the proposed numerical technique. Furthermore, computational efficiency and applicability are examined through some illustrative examples." @default.
- W3081781787 created "2020-09-08" @default.
- W3081781787 creator A5075848838 @default.
- W3081781787 date "2020-08-31" @default.
- W3081781787 modified "2023-09-26" @default.
- W3081781787 title "A new approach by two‐dimensional wavelets operational matrix method for solving variable‐order fractional partial integro‐differential equations" @default.
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- W3081781787 doi "https://doi.org/10.1002/num.22530" @default.
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