[PDF] Top 20 Chebyshev approximation with applications to the numerical solution of differential equations
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Chebyshev approximation with applications to the numerical solution of differential equations
... equations usually occur as the result of the reduction of a high order equation» For our methods, this process is not necessary, as any order of equation can be dealt with» However, in certain cases, simultaneous ... See full document
199
Numerical Solution of Klein/Sine Gordon Equations by Spectral Method Coupled with Chebyshev Wavelets
... Sine-Gordon equations appeared in many physical problems like applications in relativistic field theory, Josephson junc- tions or mechanical transmission lines [4] [5] [6] ...[7]. Numerical ... See full document
13
Numerical Solution of First Order Ordinary Differential Equations
... presenting numerical solutions of first order differential equations arising in various applications of science and engineering using some classical numerical ...contain ... See full document
10
Numerical Solution of First Order Ordinary Differential Equations
... presenting numerical solutions of first order differential equations arising in various applications of science and engineering using some classical numerical ...contain ... See full document
10
Numerical Solution of Differential Equations by Direct Taylor Expansion
... to numerical solutions of first-order differential equations are straightforward and will not be discussed ...second-order differential equations of mathematical ...nonlinear ... See full document
9
A Meshless Method for Numerical Solution of Fractional Differential Equations
... attractive applications as a new modelling tool in a variety of scientific and engineering fields, such as viscoelasticity[1],hydrology[2], finance [3, 4], and system ...fractional differential ... See full document
8
The numerical solution of partial differential algebraic equations
... The method for solving partial differential-algebraic equations (PDAEs) has been pro- posed. The results of the example showed from Tables - and Figures - that exactly the same solutions have been obtained with ... See full document
10
Numerical Solution of Nonlinear System of Partial Differential Equations by the Laplace Decomposition Method and the Pade Approximation
... The Laplace decomposition method (LDM) is one of the efficient analytical techniques to solve linear and nonlin- ear equations [1-3]. LDM is free of any small or large parameters and has advantages over other ... See full document
10
On numerical solutions of fuzzy differential equations
... Fuzzy differential equations naturally represent dynamical systems with ...Fuzzy differential equations in time dependent ...difficulty, numerical methods are used to approximate the ... See full document
9
Spectral Tau method for solving general fractional order differential equations with linear functional argument
... linear equations, we consider f ( x ) a linear ...advanced differential equations, we refer the readers to references [24] and [25], so the solution of the proposed formula (1) ...well. ... See full document
16
Chebyshev Galerkin method for integro-differential equations of the second kind
... of equations in various fields of science and ...in numerical solution of integral equations and integro differential equa- ...used. Chebyshev polynomials are considerably useful to ... See full document
13
Numerical solution methods for fractional partial differential equations
... The numerical solution of fractional partial differential equations has been developed in several ways by using the Finite Difference method (Chen, Liu & Burrage 2008, Murio 2008, Hu & ... See full document
464
B-SPLINE COLLOCATION METHOD FOR NUMERICAL SOLUTION OF NONLINEAR KAWAHARA AND MODIFIED KAWAHARA EQUATIONS
... this approximation of the differential equations leads to band matrices which are solvable easily with some low cost ...reasonable numerical stability and low computational ... See full document
12
A numerical technique based on integrated RBFs for the system evolution in molecular dynamics
... Radial basis function networks (RBFNs) have emerged as a powerful numerical tool for the solution of differential equations (e.g. Fasshauer, 2007). These approximators are able to work well ... See full document
21
An Algorithm for the Numerical Solution of System of Fractional Differential Equations
... fractional differential equations do not have analytic solutions, so approximations and numerical techniques must be used [9-12 ...analytical approximation solution to linear and non ... See full document
5
An Effective Perturbation Iteration Algorithm for Solving Riccati Differential Equations
... particular solution is known. One has to, then, adopt numerical techniques or approximate approaches for getting its ...obtained solution with the result derived through the Adomian Decomposition ... See full document
5
Numerical Approximation of Solution of Ordinary Differential Equations by Single Step Methods
... Sudha finds it difficult to hurt her mother‟s sentiments, and Anju is reluctant to indulge in activities that will make her mother upset .When Sudha and her unb[r] ... See full document
17
Fast methods for the solution of singular integro differential and differential equations
... Chebyshev expansion sets are developed for the numerical solution of linear integrodifferential equations of the first order.. These methods take a total solution.[r] ... See full document
20
Numerical solution of general nonlinear Fredholm-Volterra integral equations using Chebyshev approximation
... in O(N log N ) operations, this will be the faster computation when we integrate functions in (2.6) using the same value of N . Therefore one of the good advantages of this method to all early methods which use m-power ... See full document
6
The Lanczos Chebyshev Pseudospectral Method for Solution of Differential Equations
... There are, however, a number of issues that could affect the numerical performance of various methods. To retain the spectral accuracy, pseudospectral formulations employ orthogonal-polynomial series. In ... See full document
12
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