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  1. 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...

    Akanksha Singh, Ankur Kanaujiya, Jugal Mohapatra in Numerical Algorithms
    Article 10 July 2024
  2. 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...

    Yingsong Jiang, Ruishu Liu, ... **ghua Zhuo in Numerical Algorithms
    Article 10 July 2024
  3. 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)...

    Anshima Singh, Sunil Kumar in Numerical Algorithms
    Article 09 July 2024
  4. 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...

    Quang A Dang, Thanh Huong Nguyen, Vinh Quang Vu in Numerical Algorithms
    Article 08 July 2024
  5. Parallel continuous skyline query over high-dimensional data stream windows

    Real-time multi-criteria decision-making applications in fields like high-speed algorithmic trading, emergency response, and disaster management have...

    Walid Khames, Allel Hadjali, Mohand Lagha in Distributed and Parallel Databases
    Article 06 July 2024
  6. 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...

    Ghodrat Ebadi, Khosro Mehrabi, Predrag S. Stanimirović in Numerical Algorithms
    Article 06 July 2024
  7. 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...

    Songnian He, Ziting Wang, Qiao-Li Dong in Numerical Algorithms
    Article 05 July 2024
  8. 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...

    T. M. C. Priyanka, A. Gowrisankar, ... **de Cao in Numerical Algorithms
    Article 05 July 2024
  9. 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....

    Jiansong Zhang, Li** Gao, ... Guanqi Yang in Numerical Algorithms
    Article 04 July 2024
  10. 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...

    Yu** Li, Hui Liang, Huifang Yuan in Numerical Algorithms
    Article 04 July 2024
  11. On zero behavior of higher-order Sobolev-type discrete \(q-\)Hermite I orthogonal polynomials

    Edmundo J. Huertas, Alberto Lastra, ... Víctor Soto-Larrosa in Numerical Algorithms
    Article 02 July 2024
  12. 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...

    Puneet Sharma, Higinio Ramos, ... Mithil Rajput in Numerical Algorithms
    Article Open access 01 July 2024
  13. 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...

    **g**g Cai, Ziheng Chen, Yuanling Niu in Numerical Algorithms
    Article 28 June 2024
  14. 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...

    Zijun Zheng, Gang Pang, ... Baiyili Liu in Numerical Algorithms
    Article 26 June 2024
  15. A reliable numerical algorithm mixed with hypergeometric function for analyzing fractional variational problems

    The present study aims to introduce a numerical approach based on the hybrid of block-pulse functions (BPFs), Bernoulli polynomials (BPs), and...

    Z. Zarvan, K. Sayevand, ... H. Jafari in Numerical Algorithms
    Article 25 June 2024
  16. General double-relaxation two-sweep modulus-based matrix splitting iteration methods for horizontal linear complementarity problem

    For solving horizontal linear complementarity problem (HLCP), we propose a general double-relaxation two-sweep modulus-based matrix splitting...

    Dan Wang, Jicheng Li in Numerical Algorithms
    Article 25 June 2024
  17. Spectral characterizations and integer powers of tridiagonal 2-Toeplitz matrices

    Maryam Shams Solary, Stefano Serra-Capizzano in Numerical Algorithms
    Article 22 June 2024
  18. Convergence analysis of Picard–SP iteration process for generalized \(\alpha \)–nonexpansive map**s

    In this manuscript, we introduce a novel hybrid iteration process called the Picard–SP iteration process. We apply this new iteration process to...

    Bashir Nawaz, Kifayat Ullah, Krzysztof Gdawiec in Numerical Algorithms
    Article Open access 18 June 2024
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