Results 31 to 40 of about 64,324 (325)
Unconditionally strong energy stable scheme for Cahn-Hilliard equation with second-order temporal accuracy [PDF]
, 2022 We propose an unconditionally gradient stable scheme for solving the Cahn-Hilliard equation with second-order accuracy in time using the effective time-step analysis.
Seunggyu Lee
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Advances in Difference Equations, 2018 According to the principle of conservation of mass and the fractional Fick’s law, a new two-sided space-fractional diffusion equation was obtained. In this paper, we present two accurate and efficient numerical methods to solve this equation.
Xiucao Yin, Shaomei Fang, Changhong Guo
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An Unconditionally Stable Numerical Method for Two-Dimensional Hyperbolic Equations
East Asian Journal on Applied Mathematics, 2019 Summary: A collocation method based on exponential B-splines for two-dimensional second-order non-linear hyperbolic equations is studied. The initial equation is split into a system of coupled equations, each of which is transformed into a system of ordinary differential equations.
Singh, Swarn +2 more
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An Explicit Unconditionally Stable Numerical Method for Solving Damped Nonlinear Schrödinger Equations with a Focusing Nonlinearity [PDF]
SIAM Journal on Numerical Analysis, 2003 This paper introduces an extension of the time-splitting sine-spectral (TSSP) method for solving damped focusing nonlinear Schrödinger equations (NLS). The method is explicit, unconditionally stable and time transversal invariant. Moreover, it preserves the exact decay rate for the normalization of the wave function if linear damping terms are added to
Bao, W., Jaksch, D.
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Numerical approximation of time-fractional Burgers-type equation
Advances in Difference Equations, 2020 In this work, we analyze and test a local discontinuous Galerkin method for solving the Burgers-type equation. The proposed numerical method, which is high-order accurate, is based on a finite difference scheme in time and local discontinuous Galerkin ...
Miaomiao Yang
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Simulation Capabilities for Challenging Medical Imaging and Treatment Planning Problems [PDF]
, 2011 Advanced numerical solvers and associated simulation tools, such as, for example, numerical algorithms based on novel spectral methods, efficient time-stepping and domain meshing techniques for solution of Partial Differential Equations (PDEs ...
Beni, Catherine Elizabeth
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Numerical Methods for Partial Differential Equations, 2021 In this paper, we establish the fully decoupled numerical methods by utilizing scalar auxiliary variable approach for solving Cahn–Hilliard–Darcy system.
Yali Gao, Xiaoming He, Y. Nie
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Conditional stability of Larkin methods with non-uniform grids [PDF]
Theoretical and Applied Mechanics, 2010 Stability analysis based on the von Neumann method showed that the Larkin methods for two-dimensional heat conduction with non- uniform grids are conditionally stable while they are known to be unconditionally stable with uniform grids.
Fukuyo Kazuhiro
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Unconditionally stable numerical method for a nonlinear partial integro-differential equation
Computers & Mathematics with Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nisha Sharma, Kapil K. Sharma
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