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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Unconditionally Stable Algorithm for Copolymer and Copolymer-Solvent Systems
Papers in Physics, 2020 In the time evolution simulation of a copolymer system towards its equilibrium configuration, it is common to use the Otha-Kawasaki approach for free energy and time evolution by means of a Cahn-Hilliard diffusion equation.
Aldo Pezzutti, Hugo Hernández
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Numerical Analysis of the Burger Equation using Finite Differences [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2007 The Burger equation had been solved numerically by using two finite differences methods. The first is explicit scheme method and the second is Crank–Nicholson method.
Saad Manna, Badran Salem
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An approximate Solution of Heat Equation in Three Dimensions by LOD Method [PDF]
المجلة العراقية للعلوم الاحصائية, 2011 In this paper, we solve one of the parabolic partial differential equations in three dimensions which is heat equation with Locally One Dimension methods, and by comparing the results by this method with the exact solution, we see that the results are ...
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Unconditionally stable method and numerical solution of the hyperbolic phase-field crystal equation
Physical Review E, 2013 The phase-field crystal model (PFC model) resolves systems on atomic length scales and diffusive time scales and lies in between standard phase-field modeling and atomistic methods. More recently a hyperbolic or modified PFC model was introduced to describe fast (propagative) and slow (diffusive) dynamics. We present a finite-element method for solving
P. K. Galenko +3 more
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Numerical Analysis of Fisher Equation [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2006 The Fisher Equation had been solved numerically by using two Methods of Finite Differences Methods. The First is Explicit Scheme Method and the Second is Crank–Nicholson Method.
Saad Manna, Ahmed Qassim
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Finite element approximation of nematic liquid crystal flows using a saddle-point structure [PDF]
, 2011 In this work, we propose finite element schemes for the numerical approximation of nematic liquid crystal flows, based on a saddle-point formulation of the director vector sub-problem.
Badia Rodríguez, Santiago +2 more
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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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A splitting type algorithm for numerical solution of PDEs of fractional order
Mathematical Modelling and Analysis, 2007 Fractional order diffusion equations are generalizations of classical diffusion equations, treating super‐diffusive flow processes. In this paper, we examine a splitting type numerical methods to solve a class of two‐dimensional initial‐boundary value ...
Natali Abrashina‐Zhadaeva
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Numerical solution and stability analysis of the Sine-Gordon system in two dimensions [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2012 This paper deals with the numerical solution for Sine-Gordon system in two dimensions using two finite difference methods the (ADE) and (ADI) methods .A comparison between the two methods has been done and we have obtained that the (ADE) method is the ...
Saad Manna, Haneen Jassim
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