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- W4366465616 abstract "Abstract In this paper, we propose an effective numerical method using two-dimensional Shifted fractional-order Gegenbauer Multi-wavelets to find the approximate solutions of the time-fractional distributed order non-linear partial differential equations. The method is applied to numerically solve the fractional distributed order non-linear Klein–Gordon equation. We derive an exact formula for the Riemann-Liouville fractional integral operator for the Shifted fractional Gegenbauer Multi-wavelets. Applying function approximations obtained by this method turns the considered equation into a system of algebraic equations. Error estimation and convergence analysis of the method are also studied. Some numerical examples are included to show and check the effectiveness of the proposed method." @default.
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- W4366465616 date "2023-07-12" @default.
- W4366465616 modified "2023-10-16" @default.
- W4366465616 title "An efficient numerical method for the time-fractional distributedorder nonlinear Klein-Gordon equation with shifted fractional Gegenbauer multi-wavelets method" @default.
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- W4366465616 doi "https://doi.org/10.1088/1402-4896/accedb" @default.
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