Results 1 to 10 of about 420,792 (330)
Numerical analysis of some partial differential equations with fractal-fractional derivative
AIMS Mathematics, 2023 In this study, we expanded the partial differential equation framework to which fractal-fractional differentiation can be applied. For this, we employed the generalized Mittag-Leffler function, and the fractal-fractional derivatives based on the power ...
Nadiyah Hussain Alharthi +2 more
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Partial Differential Equations, Control, and Numerics [PDF]
Vietnam Journal of Mathematics, 2021 Jean‐Michel Coron +2 more
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Some Numerical Methods For Solving Fractional Parabolic Partial Differential Equations [PDF]
Engineering and Technology Journal, 2010 The aim of this paper isto approximate the solution offractionalparabolicpartial differential equations using two numerical methods which areBellman's method (make use of Lagrange interpolation formula) and the methodof lines.
Akram A. Al-Sabbagh +2 more
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Derive the finite difference scheme for the numerical solution of the first-order diffusion equation IBVP using the Crank-Nicolson method [PDF]
E3S Web of Conferences, 2023 In the article, a differential scheme is created for the the first-order diffusion equation using the Crank-Nicolson method. The stability of the differential scheme was checked using the Neumann method.
Kurbonov Elyorjon +3 more
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On the numerical solution of some differential equations with nonlocal integral boundary conditions via Haar wavelet [PDF]
Proceedings of the Estonian Academy of Sciences, 2022 Differential equations with nonlocal boundary conditions are used to model a number of physical phenomena encountered in situations where data on the boundary cannot be measured directly. This study explores numerical solutions to elliptic, parabolic and
Imran Aziz +2 more
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Mathematics, 2023 Machine learning techniques have garnered significant attention in various engineering disciplines due to their potential and benefits. Specifically, in reservoir numerical simulations, the core process revolves around solving the partial differential ...
Xu Chen +7 more
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Fractal and Fractional, 2022 This paper mainly considers the parameter estimation problem for several types of differential equations controlled by linear operators, which may be partial differential, integro-differential and fractional order operators. Under the idea of data-driven
Wenbo Zhang, Wei Gu
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Numerical solutions for a class stochastic partial differential equations [PDF]
Journal of Mahani Mathematical Research, 2023 The aim of this manuscript is to introduce and analyze a stochastic finite difference scheme for Ito stochastic partial differential equations. We also discuss the consistency, stability, and convergence for the stochastic finite difference scheme.
Mehdi Karami +4 more
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A Solution Method for Differential Equations Based on Taylor PINN
IEEE Access, 2023 Based on deep neural network, elliptic partial differential equations in complex regions are solved. Accurate and effective strategies and numerical methods for elliptic partial differential equations are proposed by implementing deep feedforward ...
Yajuan Zhang +3 more
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The Composite Grid Method for Singular Problems of Partial Differential Equations
Mathematics, 2023 Partial differential equations are crucial in scientific computing, and this paper will consider some of the problems of partial differential equation singularities.
Hai Ye, Yajun Xie
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