[PDF] Top 20 Finite difference finite element approach for solving fractional Oldroyd B equation
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Finite difference finite element approach for solving fractional Oldroyd B equation
... space fractional differential equations in connection with subdiffu- sion and superdiffusion, viscoelastic wave propagation, and anomalous flow problems are discussed; see [–] and references ... See full document
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SOLVING FRACTIONAL DIFFUSION AND FRACTIONAL DIFFUSION-WAVE EQUATIONS BY PETROV-GALERKIN FINITE ELEMENT METHOD
... of fractional calculus, the number of recent studies about them have also ...finite element method for a class of time-fractional diffusion ...diffusion equation using Crank-Nicolson finite ... See full document
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A fully implicit finite difference scheme based on extended cubic B splines for time fractional advection–diffusion equation
... important fractional partial differential equation is the fractional advection–diffu- sion ...this equation for a better understanding of ad- vection and diffusion phenomena in a ... See full document
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A finite difference scheme based on cubic trigonometric B splines for a time fractional diffusion wave equation
... time fractional diffusion-wave equation with reaction term based on cubic trigonometric basis ...time fractional derivative is approximated by the usual finite difference formulation, and the derivative ... See full document
18
Computational Methods for Three Coupled Nonlinear Schrödinger Equations
... for solving the coupled nonlinear Schrödinger equation are derived in the last two ...decades. Finite difference and finite element methods are used to solve this system by ... See full document
23
The Galerki Approach for Finite Elements of Field Functions: The Case of Buckling in GRP
... the equation of the deflected axis of a beam to present procedures for solving one-dimensional functions that can be expressed in the form of Poisson ...The equation of the deflected axis of a beam ... See full document
21
Optical Effects on the Characteristics of a Nanoscale Finfet
... numerically solving the 3D Poisson-Schr¨odinger equations directly until self- consistency is ...Poisson-Schr¨odinger equation provides more accurate results than the WKB ...The finite element ... See full document
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Chebyshev Pseudo Spectral Method for Solving Fractional Advection Dispersion Equation
... FDEs do not have exact solutions, so approximate and numerical techniques [3] [4], must be used. Recently, several numerical methods to solve FDEs have been given such as variational iteration method [5], homotopy ... See full document
10
Exact finite difference scheme and nonstandard finite difference scheme for coupled Burgers equation
... for solving the coupled Burgers equation, the non- standard finite-difference (NSFD) schemes have been proved to be one of the most effi- cient approaches in recent ... See full document
24
Numerical solution of time fractional nonlinear Schrodinger equation arising in quantum mechanics by cubic B-spline finite elements
... of fractional calculus has gained more importance for the formulation of natural ...that fractional equations instead of integer order differential equations may be used for a better modeling of natural ... See full document
11
Efficient finite element numerical solution of the variable coefficient fractional subdiffusion equation
... for solving time FPDEs is to improve the temporal ...for solving space fractional diffusion equations in ...puto fractional derivative, called the L1-2 ...the fractional derivative by ... See full document
17
Generalized finite difference/spectral Galerkin approximations for the time fractional telegraph equation
... equation. Liu et al. [] present a class of unconditionally stable difference schemes of high order for solving a Riesz space-fractional telegraph equation. Hashemi et al. [] pro- posed a ... See full document
16
New Modified Method of the Chebyshev Collocation Method for Solving Fractional Diffusion Equation
... space fractional differential equations. The fractional derivative is considered in the Caputo ...The finite difference scheme and Chebyshev collocation method are ...this approach have ... See full document
20
On Approximate Solutions for Time-Fractional Diffusion Equation
... preconditioned fractional rotated finite difference method for solving 2D Time-Fractional Diffusion ...of fractional rotated five point’s approximation method will be ... See full document
6
ADI Finite Element Method for 2D Nonlinear Time Fractional Reaction Subdiffusion Equation
... for solving (1). Li and Ding [2] proposed higher order finite difference methods for solving 1D linear reaction and anomalous- diffusion ...implicit finite element method for ... See full document
21
On some slope-limiter methods for the linear advection equation
... for solving conservation laws include the finite difference method, finite element method and finite volume ...The finite volume method is now a popular choice for ... See full document
12
Rigorous analysis of numerical methods: a comparative study
... the finite difference method, have been reported (Chung et ...the finite element method has been utilised to develop BPM ...unified finite element beam propagation method has ... See full document
14
The Exact Formulation of the Inverse of the Tridiagonal Matrix for Solving the 1D Poisson Equation with the Finite Difference Method
... for solving the 1D Poisson equation with the finite difference ...differential equation, is determined directly, exactly, and independently to the right-hand ...Poisson equation, ... See full document
6
Approximate solution of linear Volterra integro differential equation by using cubic B spline finite element method in the complex plane
... One of the first works in imaginary numbers was by the Persian mathematician Al- Khwarizmi. However, the first person who used them is Girolamo Cardano (1501–1576). Also, Paul Nahin gave a detailed description of imaginary ... See full document
12
Semi Analytical Solution of the 1D Helmholtz Equation, Obtained from Inversion of Symmetric Tridiagonal Matrix
... So we will focus on the matrix (A) and we will determine the exact form of its inverse, (B). We proceed as follows: first, we determine the determinant of (A) and give a very detailed discussion of its ... See full document
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