Results 1 to 10 of about 1,398 (123)
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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Frontiers in Applied Mathematics and StatisticsThis study aims to address the difficulties in solving coupled generalized non-linear Burger equations using local fractional calculus as a framework. The methodology used in this work, particularly in the area of local fractional calculus, combines the ...
Ghaliah Alhamzi +3 more
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Demonstratio Mathematica, 2022 The study of biofilm formation is becoming increasingly important. Microbes that produce biofilms have complicated impact on medical implants.
Tijani Yusuf O., Appadu Appanah R.
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Numerical solution of a malignant invasion model using some finite difference methods
Demonstratio Mathematica, 2023 In this article, one standard and four nonstandard finite difference methods are used to solve a cross-diffusion malignant invasion model. The model consists of a system of nonlinear coupled partial differential equations (PDEs) subject to specified ...
Appadu Appanah Rao +1 more
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Stability estimate for the semi-discrete linearized Benjamin-Bona-Mahony equation
, 2021 In this work we study the semi-discrete linearized Benjamin-Bona-Mahony equation (BBM) which is a model for propagation of one-dimensional, unidirectional, small amplitude long waves in non-linear dispersive media.
R. Lecaros +2 more
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On the Evolutionary Dynamics of the Cahn-Hilliard Equation with Cut-Off Mass Source
Numerical Mathematics: Theory, Methods and Applications, 2021 We investigate the effect of cut-off logistic source on evolutionary dynamics of a generalized Cahn-Hilliard (CH) equation in this paper. It is a well-known fact that the maximum principle does not hold for the CH equation.
Chaeyoung Lee +6 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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Modeling and Simulation of a Ternary System for Macromolecular Microsphere Composite Hydrogels
, 2021 In this paper, we study a ternary system for macromolecular microsphere composite (MMC) hydrogels. Assuming that the graft chains are distributed randomly around the macromolecular microspheres, a phase transition model was constructed.
Guanghua Ji
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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
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Open Mathematics, 2023 Recently, regime-switching option pricing based on fractional diffusion models has been used, which explains many significant empirical facts about financial markets better.
Wu Shuang +3 more
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