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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... -
Inertial randomized Kaczmarz algorithms for solving coherent linear systems
In this paper, by regarding the two-subspace Kaczmarz method as an alternated inertial randomized Kaczmarz algorithm we present a better convergence...
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Caputo fractional derivative of \(\alpha \)-fractal spline
The Caputo fractional derivative of a real continuous function g distinguishes from the other fractional derivative methods with the demand for the...
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A new splitting mixed finite element analysis of the viscoelastic wave equation
This paper aims to propose a new splitting mixed finite element method (MFE) for solving viscoelastic wave equations and give convergence analysis....
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On the convergence of Galerkin methods for auto-convolution Volterra integro-differential equations
The Galerkin method is proposed for initial value problem of auto-convolution Volterra integro-differential equation (AVIDE). The solvability of the...
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The NP-hard problem of computing the maximal sample variance over interval data is solvable in almost linear time with a high probability
We consider the algorithm by Ferson et al. (Reliab Comput 11(3):207--233, 2005) designed for solving the NP-hard problem of computing the maximal...
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Stagnation Detection in Highly Multimodal Fitness Landscapes
Stagnation detection has been proposed as a mechanism for randomized search heuristics to escape from local optima by automatically increasing the...
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Efficient iterative procedures for approximating fixed points of contractive-type map**s with applications
This paper introduces and analyzes some new highly efficient iterative procedures for approximating fixed points of contractive-type map**s. The...
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Convergence rate and exponential stability of backward Euler method for neutral stochastic delay differential equations under generalized monotonicity conditions
This work focuses on the numerical approximations of neutral stochastic delay differential equations with their drift and diffusion coefficients...
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A fast second-order absorbing boundary condition for the linearized Benjamin-Bona-Mahony equation
In this paper, we present a fully discrete finite difference scheme with efficient convolution of artificial boundary conditions for solving the...
