[PDF] Top 20 Non-polynomial Spline Method for Solving Coupled Burgers Equations
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Non-polynomial Spline Method for Solving Coupled Burgers Equations
... the spline functions which will be used to raise the accuracy of the method ...This spline function gives the same results if we used the spline function based on other trigonometric functions ... See full document
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A fourth order non polynomial quintic spline collocation technique for solving time fractional superdiffusion equations
... years, spline functions have also been frequently employed for the numerical solution of fractional order ...of spline functions provides enough motivation to employ them for the numerical study of ... See full document
21
Non polynomial spline method for the time fractional nonlinear Schrödinger equation
... using spline functions for smooth approximate solution of differential systems was given by Ahlberg et ...the spline method has been applied to solve the boundary value problems [18–21] and some ... See full document
15
EXTENDED B-SPLINE COLLOCATION METHOD FOR KDV-BURGERS EQUATION
... equations method was implemented to obtain that ...automated method based on an ansatz of a polynomial in terms of a tanh ...function method and the Wu elimination technique for the new ... See full document
12
A Solution of Second Kind Volterra Integral Equations Using Third Order Non-Polynomial Spline Function Sarah H. Harbi| Mohammed Ali Murad| Saba N. Majeed
... In this paper, non-polynomial spline function method for solving Volterra integral equations of the second kind is presented successfully. This idea based on the use of the VIE's ... See full document
6
Non polynomial quintic spline for numerical solution of fourth order time fractional partial differential equations
... The spline approximation techniques have been applied extensively for numerical so- lution of ODEs and ...The spline functions have a variety of significant gains over finite difference ...of spline ... See full document
22
A new variable mesh method based on non polynomial spline in compression approximations for 1D quasilinear hyperbolic equations
... waves, and fluid dynamics, optics, electromagnetism, solid mechanics, structural mechan- ics, quantum mechanics, etc. The waves for all these applications are described by solu- tions to either linear or nonlinear second ... See full document
20
A new non polynomial spline method for solution of linear and non linear third order dispersive equations
... collocation method, multiquadric (MQ), multiquadric quasi-interpolation [3, 5, 10, 13–15, 22, 23, 27, 28], have been used to solve the KdV ...decomposition method for solution of KdV ...KdV ... See full document
14
Adomian Polynomial and Elzaki Transform Method for Solving Sine-Gordon Equations
... of non- linear Sine Gordon ...the method, two single nonlinear Sine Gordon equations and one coupled Sine Gordon equation were considered in this ...The method is very powerful because ... See full document
7
Variational iteration transform method for solving burger and coupled burgers equations
... cubic spline global trial functions were developed in [31] to obtain two systems or diagonally dominant equations which are solved to determine the evolution of the ...cubic spline interpolation ... See full document
7
Spline Collocation Method for solving Burgers equation in Fluid Dynamic
... paper, Spline collocation method is employed to approximate the solution of Burgers equation, which is a one-dimensional non-linear partial differential equation in fluid ...the Spline ... See full document
5
Quasi-Interpolation Operators for Bivariate Quintic Spline Spaces and Their Applications
... By using the smoothing cofactor-conformality method [5,12], we obtain two bivariate splines A and B whose supports are shown in Fig. 1(a) and Fig. 1(b). The centers of the supports are (− 1/2 · h, − 1/2 · h ) and ... See full document
15
1. A B-Spline-SSPRK54 method for advection-diffusion processes
... conditions are u(0, t) = u(1, t) = 0. The numerical solution represents shock like solution of the Burgers equation with those reported in the paper [7]. Numerical solutions of this problem the illustrate the ... See full document
10
Adomian Polynomial and Elzaki Transform Method of Solving Fifth Order Korteweg-De Vries Equation
... Adomian polynomial have been effectively used to solve nonlinear fifth order Korteweg-de Vries (KdV) ...decomposition method is used as provided in the ...Adomian polynomial has overcome the hurdle of ... See full document
17
Non polynomial cubic spline discretization for system of non linear singular boundary value problems using variable mesh
... To illustrate the comparative performance of our method with existing methods, we solved the following eight problems. The root mean square errors (RMSs) in the case of a vari- able mesh, the maximum absolute ... See full document
23
Mid-knot cubic non-polynomial spline for a system of second-order boundary value problems
... of non-polynomial splines, in this paper we shall develop a cubic non-polynomial spline scheme at mid-knots of a uniform mesh for the problem ... See full document
16
On a hybrid spectral exponential Chebyshev method for time fractional coupled Burgers equations on a semi infinite domain
... exponential method for efficient applicable in unbounded domains with steady state property (u( ∞ ) = constant), ...diffusion equations such as Burgers, KdV and heat ... See full document
18
Numerical Treatment of Nonlinear Third Order Boundary Value Problem
... To ensure cost effectiveness, better accuracy and sim- ple applicability of the new method, the best way is to find the unknown parameters α and β, which are the ex- pressions containing the actual parameter . ... See full document
6
Polynomial spline collocation methods for second order Volterra integrodifferential equations
... these equations, many other interesting methods for the approximated solution and stability procedures are available in earlier literatures [1, 3, 4, 5, 6, 7, 8, ... See full document
12
Online Full Text
... This example is aimed to provide information on the CPU-time required in computation process when applying the method. Solutions shown in this Section presented in all tables are obtained using t 0.001 . At ... See full document
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