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  1. Approximation of bivariate Lipschitz continuous functions by hidden variable fractal functions

    The crux of the present paper is approximation of bivariate Lipschitz continuous functions by hidden variable fractal functions. We propose the...

    Article 11 July 2024
  2. Robust numerical scheme for 2D fractional integro-differential equations of Volterra type

    This article provides a numerical study of two-dimensional Volterra integro-differential equations involving fractional derivatives in the Caputo...

    Bappa Ghosh, Jugal Mohapatra in Indian Journal of Pure and Applied Mathematics
    Article 11 July 2024
  3. 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
  4. 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
  5. Structural iterative rounding for generalized k-median problems

    This paper considers approximation algorithms for generalized k -median problems. These problems can be informally described as k -median with a...

    Anupam Gupta, Benjamin Moseley, Rudy Zhou in Mathematical Programming
    Article Open access 10 July 2024
  6. 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
  7. Numerical solution of nonlinear fractional delay integro-differential equations with convergence analysis

    In this work, a high accurate method is given for solving the nonlinear fractional delay integro-differential equations, numerically. By considering...

    N. Peykrayegan, M. Ghovatmand, ... S. Shateyi in Indian Journal of Pure and Applied Mathematics
    Article 09 July 2024
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