Results 21 to 30 of about 465 (189)
Numerical analysis of the fractional evolution model for heat flow in materials with memory
Alexandria Engineering Journal, 2020 This paper develops the solution of the two-dimensional time fractional evolution model using finite difference scheme derived from radial basis function (RBF-FD) method.
O. Nikan, H. Jafari, A. Golbabai
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Computational dynamics of predator-prey model with the power-law kernel
Results in Physics, 2021 Evolution system which contains fractional derivatives can give rise to useful mathematical model for describing some important real-life or physical scenarios.
Kolade M. Owolabi
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MATHEMATICAL MODELLING OF SOIL MASSIF'S DEFORMATIONS UNDER ITS DRAINAGE
International Journal of Apllied Mathematics, 2019 Mathematical models in the assessment of water saturated soil massifs’ deformations under their drainage have been developed and substantiated. An algorithm for the construction of hydrodynamic networks has been developed and the transformation of ...
M. Kuzlo, V. S. Moshynskyi, P. Martyniuk
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, 2021 The stability of a compact finite difference scheme on general nonuniform temporal meshes for a time fractional two-dimensional biharmonic problem is proved and graded mesh error estimates are derived.
Ming-Rong Cui
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On exponential fitting of finite difference methods for heat equations
Journal of Applied Mathematics and Bioinformatics, 2021 In this article, a new kind of finite difference scheme that is exponentially fitted, inspired from Fourier analysis, for a fourth space derivative was developed for solving diffusion problems. Dispersion relation and local truncation error of the method
E. O. Tuggen, C. E. Abhulimen
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A stable finite difference method for a Cahn-Hilliard type equation with long-range interaction [PDF]
We propose a stable numerical scheme for a Cahn-Hilliard type equation with long-range interaction describing the micro-phase separation of diblock copolymer melts.
中村, 健一 +2 more
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International Journal of Apllied Mathematics, 2021 In this paper, we study Crank-Nicholson difference scheme for approximate solutions of parabolic nonlocal reverse problem with integral and Neumann boundary conditions. Stability estimates for its solution are established.
C. Ashyralyyev, A. G\"{o}nen\c{c}
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Finite Difference/Element Method for a Two-Dimensional Modified Fractional Diffusion Equation
, 2012 We present the finite difference/element method for a two-dimensional modified fractional diffusion equation. The analysis is carried out first for the time semi-discrete scheme, and then for the full discrete scheme.
Na Zhang, Wei-Hua Deng, Yu-Jiang Wu
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Open Mathematics, 2017 This article presents a new method of solving partial differential equations. The method is an improvement of the previously reported compact finite difference quasilinearization method (CFDQLM) which is a combination of compact finite difference schemes
Dlamini P.G., Khumalo M.
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A Mixed‐Culture Model of a Probiotic Biofilm Control System
Computational and Mathematical Methods in Medicine, Volume 11, Issue 2, Page 99-118, 2010., 2010 We present a mathematical model and computer simulations for the control of a pathogenic biofilm by a probiotic biofilm. This is a substantial extension of a previous model of control of a pathogenic biofilm by microbial control agents that are suspended in the aqueous bulk phase (H. Khassehkhan and H.J. Eberl, Comp. Math. Meth.
Hermann J. Eberl +2 more
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