[PDF] Top 20 A collocation spectral method for two-dimensional Sobolev equations
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A collocation spectral method for two-dimensional Sobolev equations
... element method (FEM), finite volume element method (FVEM), and spectral method are considered to be four well-known nu- merical ...the spectral method can attain higher accuracy ... See full document
13
Chebyshev spectral collocation method for stochastic delay differential equations
... the spectral collocation method for (.) with two groups of parameters I: a = ...the spectral collocation methods with different N which is denoted by the number of the C-G-L ... See full document
12
A spectral collocation method based on integrated Chebyshev polynomials for two-dimensional biharmonic boundary-value problems
... a spectral collocation method based on integrated Chebyshev polyno- mials for numerically solving biharmonic boundary-value ...governing equations are also forced to be satisfied exactly at the ... See full document
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Two shifted Jacobi Gauss collocation schemes for solving two dimensional variable order fractional Rayleigh Stokes problem
... the spectral methods have gained increasing popularity for sev- eral decades, especially in solving differential equations and in the field of computational fluid dynamics (see, ...therein). Spectral ... See full document
17
Taylor-Series Expansion Methods for Multivariate Hammerstein Integral Equations
... integral equations, a large volume of research has been accomplished in the last two decades which apply a class of wavelets to numerical solution of integral equations (see [5], [6], [7], [8] and ... See full document
5
Radial basis functions method for solving three-dimensional linear Fredholm integral equations on the cubic domains
... (RBF) method for multivariate approximation is one of the most often applied tools in modern approximation theory due to spectral accuracy, flexibility with respect to geometry, dimensional indepen- ... See full document
24
Rational Chebyshev collocation method for the similarity solution of two dimensional stagnation poin
... Chebyshev collocation (RCC) method to solve the two dimensional flow of a viscous fluid in the vicinity of a stagnation point named Hiemenz ...Navier-Stokes equations governing the ... See full document
15
An efficient spectral collocation algorithm for nonlinear Phi-four equations
... orthogonal collocation scheme for solving the Phi-four equation based on Jacobi family in which the nodes of the Jacobi-Gauss-Lobatto quadra- ture whose distributions can be tuned by two parameters, α and ... See full document
16
Legendre-collocation spectral solver for variable-order fractional functional differential equations
... The organization of the paper encompass; In Section 2, an overview of shifted Legendre polynomials and their relevant properties required henceforward are presented, and in Sec- tion 3, the way of constructing the ... See full document
12
Shifted Jacobi collocation method for solving multi dimensional fractional Stokes’ first problem for a heated generalized second grade fluid
... years, spectral methods (see [–]) have often turned out to be efficient and highly accurate schemes when compared with the local ...of spectral methods. Besides, spectral methods have exponential ... See full document
17
Numerical solution of two-dimensional fuzzy Fredholm integral equations using collocation fuzzy wavelet like operator
... tions (2DFFIE), it is important that we develop quadrature rules and numerical methods for solv- ing such equations. Recently, some researchers investigated solving such equations. In [?], the authors ... See full document
11
Simulation of Seawater Intrusion in Coastal Confined Aquifer Using a Point Collocation Method Based Meshfree Model
... (MFree) method is proposed for the analysis of seawater intrusion ...Free method has been used earlier to model the groundwater flow and solute transport problems ...MFree method, the system of ... See full document
16
Non-polynomial Spline Method for Solving Coupled Burgers Equations
... Burgers’ equations numer- ically; which is suggested by [1] ...Burgers’ equations by using A Chebyshev spectral collocation method, Ali et al proposed the algorithm for the numerical ... See full document
13
A high order numerical scheme using orthogonal spline collocation for solving the two dimensional fractional reaction–subdiffusion equation
... Fractional equations can be used to describe some physical phenomenon more accurately than the classical integer-order differential equation, one of which fractional reaction– diffusion equations have been ... See full document
23
A Fast Immersed Boundary Fourier Pseudo-spectral Method for Simulation of the Incompressible Flows
... the two-dimensional incompressible Navier-Stokes ...Runge-Kutta method is used in time integration, and the boundary conditions are set at the beginning of each sub-step, in order to increase the ... See full document
10
New spectral collocation algorithms for one and two dimensional Schrödinger equations with a Kerr law nonlinearity
... In this section, we propose an efficient numerical integration process for the SODEs with a vector of initial values, based on the SJ-GR interpolation, which is easy to implement, and it possesses the spectral ... See full document
22
A reduced-order extrapolating collocation spectral method based on POD for the 2D Sobolev equations
... classical collocation spectral (CS) method of two-dimensional (2D) Sobolev ...extrapolating collocation spectral (ROECS) method for 2D Sobolev ... See full document
19
Lagrange’s Spectral Collocation Method for Numerical Approximations of Two Dimensional Space Fractional Diffusion Equation
... Lagrange’s spectral method for 2D space fractional diffusion equation are ...proposed method and to compare the performance of four types of ... See full document
16
Orthogonal Collocation Method of the Two dimensional Burgers Equations
... The collocation method at Gauss points[4] has high convergence order and does not need to calculate numerical integration so that the calculation is ...of equations, such as the quasilinear parabolic ... See full document
6
An effective spectral collocation method for the direct solution of high-order ODEs
... The initial values are obtained using the exact solution. Six data sets, { 4, 6, · · · , 14 } G-L points, are employed. For the CDF case, the three derivative initial conditions are enforced explicitly by adding three ... See full document
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