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An innovative fourth-order numerical scheme with error analysis for Lane-Emden-Fowler type systems
In this paper, we develop a novel higher-order compact finite difference scheme for solving systems of Lane-Emden-Fowler type equations. Our method...
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Sublinear Algorithms in T-Interval Dynamic Networks
We consider standard T - interval dynamic networks , under the synchronous timing model and the broadcast CONGEST model. In a T - interval dynamic network ,...
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Unconditional energy stability and maximum principle preserving scheme for the Allen-Cahn equation
In this paper, we propose a novel fully implicit numerical scheme that satisfies both nonlinear energy stability and maximum principle for the space...
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Fractional Legendre wavelet approach resolving multi-scale optimal control problems involving Caputo-Fabrizio derivative
This article provides an effective numerical approach using the fractional integral operational matrix method for a fractional Legendre wavelet to...
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Unconditionally positivity-preserving approximations of the Aït-Sahalia type model: Explicit Milstein-type schemes
The present article aims to design and analyze efficient first-order strong schemes for a generalized Aït-Sahalia type model arising in mathematical...
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Error analysis of a high-order fully discrete method for two-dimensional time-fractional convection-diffusion equations exhibiting weak initial singularity
This study presents a novel high-order numerical method designed for solving the two-dimensional time-fractional convection-diffusion (TFCD)...
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Extract Implicit Semantic Friends and Their Influences from Bipartite Network for Social Recommendation
Social recommendation often incorporates trusted social links with user-item interactions to enhance rating prediction. Although methods that...
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Construction of high order numerical methods for solving fourth order nonlinear boundary value problems
In this paper, we construct numerical methods of fourth, sixth and eighth orders convergence for solving fully fourth order nonlinear differential...
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An Uzawa-DOS method for solving saddle-point problems
Based on the diagonal and off-diagonal splitting (DOS) iteration scheme (Dehghan et al. Filomat 31 (5), 1441–1452
2017 ), we offer an iteration...