Results 11 to 20 of about 241,782 (323)
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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Construction of invariant compact finite-difference schemes [PDF]
Physical Review E, 2020 In this paper we propose a method, which is based on equivariant moving frames, for development of high-order accurate invariant compact finite-difference schemes that preserve Lie symmetries of underlying partial differential equations. In this method, variable transformations that are obtained from the extended symmetry groups of partial differential
E. Ozbenli, P. Vedula
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High-accuracy positivity-preserving numerical method for Keller-Segel model
Mathematical Biosciences and Engineering, 2023 The Keller-Segel model is a time-dependent nonlinear partial differential system, which couples a reaction-diffusion-chemotaxis equation with a reaction-diffusion equation; the former describes cell density, and the latter depicts the concentration of ...
Lin Zhang, Yongbin Ge, Xiaojia Yang
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Numerical Methods for Partial Differential Equations, 2023 In this paper, we consider the development and analysis of a new explicit compact high‐order finite difference scheme for acoustic wave equation formulated in divergence form, which is widely used to describe seismic wave propagation through a ...
Da Li, Keran Li, Wenyuan Liao
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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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Advances in Difference Equations, 2020 In this article, a new explicit group iterative scheme is developed for the solution of two-dimensional fractional Rayleigh–Stokes problem for a heated generalized second-grade fluid.
Muhammad Asim Khan +2 more
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Deep FDM: Enhanced finite difference methods by deep learning
Franklin Open, 2023 In this work, we propose a new idea to improve numerical methods for solving partial differential equations (PDEs) through a deep learning approach.
Tatiana Kossaczká +2 more
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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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Ain Shams Engineering Journal, 2018 The present article is concerned with the implementation of the compact finite difference scheme, in the space and the optimal four-stage, order three strong stability-preserving time-stepping Runge-Kutta (SSP-RK43) scheme, in time for computation of one
Brajesh Kumar Singh +2 more
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Efficient hedging in Bates model using high-order compact finite differences [PDF]
, 2017 We evaluate the hedging performance of the scheme developed in B. Düring, A. Pitkin, ”High-order compact finite difference scheme for option pricing in stochastic volatility jump models”, 2017.
B Düring, DS Bates, S Salmi
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