Results 11 to 20 of about 685,779 (325)
AIMS Mathematics, 2021 In this paper, we present a linearized finite difference scheme and a compact finite difference scheme for the time fractional nonlinear diffusion-wave equations with space fourth order derivative based on their equivalent partial integro-differential ...
Emadidin Gahalla Mohmed Elmahdi +1 more
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Sixth Order Compact Finite Difference Method for 2D Helmholtz Equations with Singular Sources and Reduced Pollution Effect [PDF]
Communications in Computational Physics, 2021 Due to its highly oscillating solution, the Helmholtz equation is numerically challenging to solve. To obtain a reasonable solution, a mesh size that is much smaller than the reciprocal of the wavenumber is typically required (known as the pollution ...
Qiwei Feng, B. Han, M. Michelle
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Symmetry, 2022 In this study, a high-order compact finite difference method is used to solve boundary value problems with Robin boundary conditions. The norm is to use a first-order finite difference scheme to approximate Neumann and Robin boundary conditions, but that
James Malele, P. Dlamini, S. Simelane
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Compact Finite Difference Scheme Combined with Richardson Extrapolation for Fisher’s Equation
Mathematical Problems in Engineering, 2022 In this study, the fourth-order compact finite difference scheme combined with Richardson extrapolation for solving the 1D Fisher’s equation is presented.
Hailu Muleta Chemeda +2 more
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On compact 4th order finite-difference schemes for the wave equation
Mathematical Modelling and Analysis, 2021 We consider compact finite-difference schemes of the 4th approximation order for an initial-boundary value problem (IBVP) for the n-dimensional nonhomogeneous wave equation, n≥ 1.
Alexander Zlotnik, Olga Kireeva
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High Order Compact Finite Difference Schemes for Solving Bratu-Type Equations [PDF]
Journal of Applied and Computational Mechanics, 2019 In the present study, high order compact finite difference methods is used to solve one-dimensional Bratu-type equations numerically. The convergence analysis of the methods is discussed and it is shown that the theoretical order of the method is ...
Raziyeh Gharechahi +2 more
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Numerical solution of nonlinear fractional Riccati differential equations using compact finite difference method [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2022 This paper aims to apply and investigate the compact finite difference methods for solving integer-order and fractional-order Riccati differential equations. The fractional derivative in the fractional case is described in the Caputo sense.
H. Porki, M. Arabameri, R. Gharechahi
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Discrete and Continuous Dynamical Systems. Series A, 2021 This paper develops a numerical scheme for finding the approximate solution of space fractional order of the diffusion equation (SFODE). Firstly, the compact finite difference (CFD) with convergence order \begin{document}$ \mathcal{O}(\delta \tau ^{2}) $\
Y. E. Aghdam +4 more
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Journal of Physics: Conference Series, 2021 The main goal of this paper is to developed a high-order and accurate method for the solution of one-dimensional of generalized Burgers-Fisher with Numman boundary conditions.
Mardan A. Pirdawood, Younis A. Sabawi
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Quasi-Compact Finite Difference Schemes for Space Fractional Diffusion Equations [PDF]
Journal of Scientific Computing, 2012 The authors develop a theory of quasi-compact finite difference schemes for the numerical solution of one- and two-space fractional diffusion problems. A finite difference operator for Riemann-Liouville fractional derivatives is proposed. This approach is used for constructing compact weighted and shifted Grünwald difference schemes on uniform meshes ...
Zhou, Han, Tian, WenYi, Deng, Weihua
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