Results 1 to 10 of about 98 (97)
A local stabilized approach for approximating the modified time-fractional diffusion problem arising in heat and mass transfer [PDF]
Journal of Advanced Research, 2021 Introduction: During the last years the modeling of dynamical phenomena has been advanced by including concepts borrowed from fractional order differential equations.
O. Nikan +2 more
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An accurate and efficient local one-dimensional method for the 3D acoustic wave equation
Demonstratio Mathematica, 2022 We establish an accurate and efficient scheme with four-order accuracy for solving three-dimensional (3D) acoustic wave equation. First, the local one-dimensional method is used to transfer the 3D wave equation into three one-dimensional wave equations ...
Wu Mengling, Jiang Yunzhi, Ge Yongbin
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Demonstratio Mathematica, 2021 In this paper, we introduce a new method to analyze the convergence of the standard finite element method for Hamilton-Jacobi-Bellman equation with noncoercive operators with nonlinear source terms with the mixed boundary conditions.
Miloudi Madjda +2 more
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Convergence of a finite volume scheme for a parabolic system applied to image processing
Moroccan Journal of Pure and Applied Analysis, 2022 We analyze a finite volume scheme for a nonlinear reaction-diffusion system applied to image processing. First, we demonstrate the existence of a solution to the finite volume scheme.
Attmani Jamal +2 more
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Annales Mathematicae Silesianae, 2023 In this paper, we use the finite element method to solve the fractional space-time diffusion equation over finite fields. This equation is obtained from the standard diffusion equation by replacing the first temporal derivative with the new fractional ...
Boutiba Malika +2 more
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Moroccan Journal of Pure and Applied Analysis, 2020 The present paper is devoted to the numerical approximation for the diffusion equation subject to non-local boundary conditions. For the space discretization, we apply the Legendre-Chebyshev pseudospectral method, so that, the problem under consideration
Chattouh Abdeldjalil, Saoudi Khaled
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Alexandria Engineering Journal, 2023 The objective of this work is to present the modified cubic B-spline differential quadrature (MCBSDQ) method for the numerical study of the generalized 2-D nonlinear Benjamin–Bona–Mahony–Burgers (BBMB) equation.
Pratibha Joshi, Maheshwar Pathak, Ji Lin
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Approximations to linear Klein–Gordon Equations using Haar wavelet
Ain Shams Engineering Journal, 2021 In this research article, two Haar wavelet collocation methods (HWCMs) (namely one dimensional HWCM and two dimensional HWCM) are adapted to approximate linear homogeneous and linear non-homogeneous Klein–Gordon equations.
Sana Ikram +2 more
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Time-fractional nonlinear Swift-Hohenberg equation: Analysis and numerical simulation
Alexandria Engineering Journal, 2020 In this paper, a new scheme based on the exponential fitting technique is presented for solving the nonlinear time-fractional Swift-Hohenberg equation, where the first and second-order derivatives are replaced by Caputo fractional derivative.
W.K. Zahra, M.A. Nasr, Dumitru Baleanu
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Open Mathematics, 2020 In this paper, a discrete orthogonal spline collocation method combining with a second-order Crank-Nicolson weighted and shifted Grünwald integral (WSGI) operator is proposed for solving time-fractional wave equations based on its equivalent partial ...
Xu Xiaoyong, Zhou Fengying
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