[PDF] Top 20 Orthogonal Collocation Method of the Two dimensional Burgers Equations
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Orthogonal Collocation Method of the Two dimensional Burgers Equations
... Burgers equation is one of the most important nonlinear wave equations in physics and mathematics. It is an equation that can find the analytical solutions[1]. Many numerical methods have been proposed, ... See full document
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New spectral collocation algorithms for one and two dimensional Schrödinger equations with a Kerr law nonlinearity
... SJ-GL-C method, along with a new treatment for the subjected conditions, to create a system of SODEs of the unknown coefficients of the spectral expansion in the time di- ...SJ-GR-C method. The proposed ... See full document
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Two shifted Jacobi Gauss collocation schemes for solving two dimensional variable order fractional Rayleigh Stokes problem
... differential equations and in the field of computational fluid dynamics (see, ...differential equations when the exact solutions are smooth; see, ...ferential equations, it is extremely important to ... See full document
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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
Computer modelling of phase change materials using the orthogonal collocation method
... one-dimensional, orthogonal collocation model has been ...the two differential equations governing the physical ...with orthogonal collocation ...and two boundary ... See full document
9
Solution of two-dimensional non-linear Burgers’ equations with nonlocal boundary condition
... Burgers’ equations are a special case of the Navier-Stokes equation. Burgers’ equations are an important differential equation from fluid dynamics, and are used to describe various natural ... See full document
5
High-order Compact Iterative Scheme for the Two-dimensional Time Fractional Cable Equation
... one dimensional fractional cable equation by two implicit numerical methods with second-order spatial accuracy, Chen et ...one dimensional non-linear variable order fractional cable equation with ... See full document
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Lagrange’s Spectral Collocation Method for Numerical Approximations of Two Dimensional Space Fractional Diffusion Equation
... differential equations. For fractional diffusion equations spectral collocation is one of the efficient and most popular approximation ...spectral collocation method based on Lagrange’s ... See full document
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Spline Collocation Method for solving Burgers equation in Fluid Dynamic
... Spline collocation method is employed to approximate the solution of Burgers equation, which is a one-dimensional non-linear partial differential equation in fluid ...Spline Collocation ... See full document
5
Shifted Jacobi collocation method for solving multi dimensional fractional Stokes’ first problem for a heated generalized second grade fluid
... spectral collocation method is a spe- cific type of spectral methods, which is more applicable and widely used to solve almost all types of the differential equations ... See full document
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A New Approach on Numerical Solutions of Burgers Equation Using PMEDG Iterative Method
... solving two dimensional steady Burgers' ...iterative method is superior to the original MEDG method for solving the two dimensional Burgers' ...Differential ... See full document
8
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
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Non-polynomial Spline Method for Solving Coupled Burgers Equations
... coupled Burgers’ equations numer- ically; which is suggested by [1] ...studied Burgers’ equations by using A Chebyshev spectral collocation method, Ali et al proposed the ... See full document
13
Radial basis functions method for solving three-dimensional linear Fredholm integral equations on the cubic domains
... (RBFs) method has become known as a powerful tool for the scattered data interpolation prob- ...Kansa’s method developed by Kansa in 1990 [20, 21], is obtained by directly collocating RBFs, particularly the ... See full document
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Numerical solution of one dimensional burgers’ equation solving with explicit FTCS method and implcit BTCS method
... one dimensional o f Burgers’ equations with two types o f methods which are Explicit FTCS method and Implicit BTCS ...ton’s method. Since Burgers’ equation are known as a ... See full document
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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
A collocation spectral method for two-dimensional Sobolev equations
... a collocation spectral method for two-dimensional (2D) Sobolev ...a collocation spectral model based on the Chebyshev polynomials for the 2D Sobolev equations is first ...the ... See full document
13
A Crank–Nicolson collocation spectral method for the two dimensional telegraph equations
... element method (FEM), the finite volume element method (FVEM), and the spectral method are regarded to be four most popular methods, but the accuracy of the spectral method is highest in the ... See full document
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Comparison of The LBM With the Modified Local Crank-Nicolson Method Solution of Transient Two-Dimensional Non-Linear Burgers Equation
... The Burgers equation is a combination of a con- vection term and a diffusion term which is sim- plified form of the Navier-Stokes ...the two-dimensional Burgers equations have been ... See full document
19
A high order numerical scheme using orthogonal spline collocation for solving the two dimensional fractional reaction–subdiffusion equation
... The method is based on adopting a third-order weighted and shifted Grünwald difference (WSGD) operator to approximate the time Caputo fractional derivative and applying the orthogonal spline ... See full document
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