Results 21 to 30 of about 25,445 (266)
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 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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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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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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Near conserving energy numerical schemes for two-dimensional coupled seismic wave equations [PDF]
, 2018 Two-dimensional coupled seismic waves, satisfying the equations of linear isotropic elasticity, on a rectangular domain with initial conditions and periodic boundary conditions, are considered.
Portillo de la Fuente, Ana María
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Numerical Solution for Sine-Gordon System in One Dimension [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2010 This paper has studied the numerical solution for Sine-Gordon system in one dimensions using finite difference methods. We have used Explicit method and Crank-Nicholson method.A comparison between results of the two methods has been done and we obtained ...
Saad Manna, Haneen Jassim
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Exponential Runge-Kutta methods for stiff kinetic equations [PDF]
, 2010 We introduce a class of exponential Runge-Kutta integration methods for kinetic equations. The methods are based on a decomposition of the collision operator into an equilibrium and a non equilibrium part and are exact for relaxation operators of BGK ...
Dia B. O. +4 more
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Numerical Solution and Stability Analysis of Huxley Equation [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2005 The numerical solution of Huxley equation by the use of two finite difference methods is done. The first one is the explicit scheme and the second one is the Crank-Nicholson scheme.
Saad Manaa, Mohammad Sabawi
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Controlling the accuracy of unconditionally stable algorithms in Cahn-Hilliard Equation [PDF]
, 2006 Given an unconditionally stable algorithm for solving the Cahn-Hilliard equation, we present a general calculation for an analytic time step $\d \tau$ in terms of an algorithmic time step $\dt$.
D. J. Eyre, James A. Warren, Mowei Cheng
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