Petrov-Galerkin type method
Numerical Solution of Tenth Order Boundary Value Problems by Petrov Galerkin Method with Quintic B splines as Basis Functions and Sextic B Splines as Weight Functions
... not vanish at one of the boundary points. So, there is a necessity of redefining the basis functions into a new set of basis functions which vanish on the boundary where the Dirichlet type of boundary conditions ...
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Numerical solution of ninth order boundary value problems by Petrov Galerkin method with quintic B splines as basis functions and sextic B splines as weight functions
... element method involving Petrov-Galerkin method with quintic B-splines as basis functions and sextic B-splines as weight functions has been developed to solve a general ninth order boundary ...
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Application of the Meshless Local Petrov-Galerkin Method to Unsteady, Multi-Dimensional Fluid Dynamics with Interfaces.
... Local Petrov-Galerkin (MLPG) method is a numerical framework for solving partial differential ...This method is unique in that it uses the governing equations in the local symmetric weak form ...
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SOLVING FRACTIONAL DIFFUSION AND FRACTIONAL DIFFUSION-WAVE EQUATIONS BY PETROV-GALERKIN FINITE ELEMENT METHOD
... Recently, it has become increasingly evident that fractional derivatives are very useful in the analysis of a wide range of scientific areas such as engineering, physics, chemistry and some other branches. The problems in ...
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Numerical solution of sixth order boundary value problems by Petrov Galerkin method with quartic b splines as basis functions and sextic b splines as weight functions
... element method involving Petrov-Galerkin method with quartic B-splines as basis functions and sextic B-splines as weight functions to solve a general sixth order boundary value problem with a ...
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Petrov-Galerkin formulation for compressible Euler and Navier-Stokes equations
... element method is one of the most powerful numerical methods conceived to ...element method is based on the Galerkin weighted residual ...element method leads to symmetric stiffness ...element ...
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Numerical solution of sixth order boundary value problems by Petrov Galerkin method with quartic B Splines as basis functions and quintic B Splines as weight functions
... element method which involves Petrov-Galerkin approach with quartic B-splines as basis functions and quintic B- splines as weight functions to solve a general sixth order boundary value problem of ...
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Benefits of Using Non consolidated Domain Influence in Meshless Local Petrov galerkin (Mlpg) Method for Solving Lefm Problems
... MLPG, accuracy and effectiveness are dependent on the nodal domain of influence and type of the weight function. In this work, non-consolidated (anisotropic) weight function in the elliptic form is introduced to ...
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A Petrov-Galerkin method for flows in cavities: enclosure of aspect ratio 8
... particular, Galerkin-type methods are usually the first method of choice when high accuracy of results is required in the solution of partial differential ...
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The Petrov-Galerkin Method for Numerical Solution of Stochastic Volterra Integral Equations
... the Petrov-Galerkin method for solution of stochastic Volterra integral ...this method is done. In Comparison with other methods, this method has less ...
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An analysis of Galerkin methods for solving transport problems
... discontinuous method equals an implicit Runge- Kutta scheme given by ...continuous Petrov-Galerkin method the function that has to be iterated involves more variables and takes longer to ...
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Two Dimensional Stress and Displacement Wave Propagation Under Shock Loading in Saturated Porous Materials with Two Dimensional Functionally Graded Materails Using MLPG Method
... In the first example, a finite length cylinder with the fully- saturated porous material, which was used by Sladek et al. is considered to verify the presented method and results [14]. The radius of the cylinder ...
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Numerical approximation of the fractional HIV model using the meshless local Petrov–Galerkin method
... MLPG method has been applied to various problems in different ...MLPG method because of the difficulty in implementing some essential boundary condi- tions ...(MLS) method, the weighted least squares ...
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Meshless Local Petrov-Galerkin method with Rankine source solution for two-dimensional two-phase flow modelling
... PND method strongly depends on the randomness of the particle distribution which was pointed out by (Ma & Zhou ...the method proposed in this ...ADG method, and the results for the density ratios ...
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An hp-version discontinuous Galerkin method for integro-differential equations of parabolic type
... hp-DG method on geometrically refined time-steps and linearly increasing approximation ...h-version method with a fixed approximation order on nonuniformly refined ...
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Computational Studies of Reaction Diffusion Systems by Nonlinear Galerkin Method
... nonlinear Galerkin method and the commonly known Faedo-Galerkin ...linear Galerkin method is more efficient since it con- serves the similar level of accuracy with respect to the ...
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The convergence estimates for Galerkin wavelet solution of periodic pseudodifferential initial value problems
... Using the discrete Fourier transform and Galerkin-Petrov scheme, we get some results on the solutions and the convergence estimates for periodic pseudodifferential initial value problems.[r] ...
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A Petrov-Galerkin Spectral element technique for heterogeneous porous media flow
... multi-domain method with the variational formulation commonly used for nite element approximations ...element method or a Petrov-Galerkin ...
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Numerical modelling and simulation for one-dimensional fluid structure interaction in blood flow
... The scope of this study is on the numerical modelling and simulation in one- dimensional FSI blood flow cases. One-dimensional, incompressible, Newtonian flow is considered in this study. Continuity equation, momentum ...
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Multiscale Petrov Galerkin method for high frequency heterogeneous Helmholtz equations
... multiscale Petrov-Galerkin method for the Helmholtz equation with large wave numbers k and possibly heterogeneous material coefficients as a generalization of [6, ...this method, whereas the ...
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