Results 21 to 30 of about 64,324 (325)
Unconditionally stable explicit methods for parabolic equations [PDF]
, 1980 This paper discusses rational Runge-Kutta methods for stiff differential equations of high dimensions. These methods are explicit and in addition do not require the computation or storage of the Jacobian.
Hairer, Ernst
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A New Unconditionally Stable Method for Telegraph Equation Based on Associated Hermite Orthogonal Functions [PDF]
Advances in Mathematical Physics, 2016 The present paper proposes a new unconditionally stable method to solve telegraph equation by using associated Hermite (AH) orthogonal functions. Unlike other numerical approaches, the time variables in the given equation can be handled analytically by ...
Di Zhang, Fusheng Peng, Xiaoping Miao
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AN UNCONDITIONALLY GRADIENT STABLE NUMERICAL METHOD FOR THE OHTA-KAWASAKI MODEL [PDF]
Bulletin of the Korean Mathematical Society, 2017 We present a finite difference method for solving the Ohta Kawasaki model, representing a model of mesoscopic phase separation for the block copolymer.
Junseok Kim, Jaemin Shin
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Refactorization of a variable step, unconditionally stable method of Dahlquist, Liniger and Nevanlinna [PDF]
Applied Mathematics Letters, 2021 The one-leg, two-step time-stepping scheme proposed by Dahlquist, Liniger and Nevanlinna has clear advantages in complex, stiff numerical simulations: unconditional $G$-stability for variable time-steps and second-order accuracy.
W. Layton, Wenlong Pei, C. Trenchea
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Algorithms, 2022 Based on many previous experiments, the most efficient explicit and stable numerical method to solve heat conduction problems is the leapfrog-hopscotch scheme.
Ali Habeeb Askar +3 more
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Mathematics, 2022 We examine the one-dimensional transient diffusion equation with a space-dependent diffusion coefficient. Such equations can be derived from the Fokker–Planck equation and are essential for understanding the diffusion mechanisms, e.g., in carbon ...
Mahmoud Saleh +3 more
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Algorithms, 2022 We collected 20 explicit and stable numerical algorithms for the one-dimensional transient diffusion equation and analytically examined their consistency and convergence properties.
Ádám Nagy +2 more
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Numerical Investigation of the Fractional Diffusion Wave Equation with the Mittag–Leffler Function [PDF]
, 2023 A spline is a sufficiently smooth piecewise curve. B-spline functions are powerful tools for obtaining computational outcomes. They have also been utilized in computer graphics and computer-aided design due to their flexibility, smoothness and accuracy ...
Noura F. Abdo +5 more
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Buildings, 2022 Using efficient methods to calculate heat transfer in building components is an important issue. In the current work, 14 numerical methods are examined to solve the heat transfer problem inside building walls.
Humam Kareem Jalghaf +2 more
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An unconditionally stable numerical method for the viscous Cahn--Hilliard equation
Discrete and Continuous Dynamical Systems - B, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shin, Jaemin, Choi, Yongho, Kim, Junseok
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