Results 41 to 50 of about 334 (91)
Mathematical Methods in the Applied Sciences, Volume 47, Issue 7, Page 5999-6035, 15 May 2024.We consider the hyperbolic relaxation of the viscous Cahn–Hilliard equation with a symport term. This equation is characterized by the presence of the additional inertial term τDϕtt$$ {\tau}_D{\phi}_{tt} $$ that accounts for the relaxation of the diffusion flux.
Dieunel Dor +2 more
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Modeling and simulation of the input–output behavior of a geothermal energy storage
Mathematical Methods in the Applied Sciences, Volume 47, Issue 1, Page 371-396, 15 January 2024.This paper investigates mathematical modeling and numerical methods for simulations of the input–output behavior of a geothermal energy storage. Such simulations are needed for the optimal control and management of residential heating systems equipped with an underground thermal storage. There, a given volume under or aside of a building is filled with
Paul Honore Takam +2 more
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Boussinesq Systems of Bona-Smith Type on Plane Domains: Theory and Numerical Analysis [PDF]
, 2009 We consider a class of Boussinesq systems of Bona-Smith type in two space dimensions approximating surface wave flows modelled by the three-dimensional Euler equations.
Dougalis, Vassilios +2 more
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Numerical Linear Algebra with Applications, Volume 31, Issue 1, January 2024.Abstract We consider here a cell‐centered finite difference approximation of the Richards equation in three dimensions, averaging for interface values the hydraulic conductivity K=K(p)$$ K=K(p) $$, a highly nonlinear function, by arithmetic, upstream and harmonic means.
Daniele Bertaccini +3 more
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Numerical Linear Algebra with Applications, Volume 31, Issue 1, January 2024.Abstract Fully implicit Runge–Kutta methods offer the possibility to use high order accurate time discretization to match space discretization accuracy, an issue of significant importance for many large scale problems of current interest, where we may have fine space resolution with many millions of spatial degrees of freedom and long time intervals ...
Owe Axelsson +2 more
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Computational and Mathematical Methods, Volume 2024, Issue 1, 2024.In this study, we consider a parameter‐uniform convergent numerical approach for a class of time‐fractional singularly perturbed partial differential equations (TF‐SPDPDEs) with large delay in time that exhibits a regular exponential boundary layer on the right side of the spatial domain.
Habtamu Getachew Kumie +3 more
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Numerical analysis of parabolic p-Laplacian: Approximation of trajectories [PDF]
, 2000 The long time numerical approximation of the parabolic p-Laplacian problem with a time-independent forcing term and sufficiently smooth initial data is studied.
Ju, Ning
core
An Unconditionally Stable Numerical Method for Space Tempered Fractional Convection‐Diffusion Models
Journal of Mathematics, Volume 2024, Issue 1, 2024.A second‐order numerical method for two‐sided tempered fractional convection‐diffusion equations is studied in this paper, both convection term and diffusion term are approximated by the tempered weighted and shifted Grünwald difference operators, the first time partial derivative is discretized by the Crank–Nicolson method, and then a class of second ...
Zeshan Qiu, Xian-Ming Gu
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Method of semidiscretization in time for quasilinearintegrodifferential equations [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 We consider a class of quasilinear integrodifferential equations in a reflexive Banach space. We apply the method of semidiscretization in time to establish the existence, uniqueness, and continuous dependence on the initial data of strong solutions.
D. Bahuguna, Reeta Shukla
openaire +2 more sources
Shock and Vibration, Volume 2024, Issue 1, 2024.To solve the wave propagation problems of the Euler–Bernoulli beam in an unbounded domain effectively and efficiently, a new local artificial boundary condition technology is proposed. It replaces the residual right‐hand side of the truncated discrete equation with an equivalent linear algebraic system.
Zijun Zheng +2 more
wiley +1 more source