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Numerical solution of nth-order integro-differential equations with trigonometric wavelet
integro-differential equation collocation method
2010/9/26
Integro-differential equations are appeared in many engineering and physic fields. We select fredholm integro-differential equation and basis gained from trigonometric wavelet scaling function. In thi...
Numerical solution of regularized long wave equation by reduced differential transform method
Reduced differential transform method Adomian decomposition method Variational iteration method
2010/9/25
In this paper, a general framework of the reduced differential transform method is presented for solving the regularized long wave (RLW) equation. In this method, the solution is calculated in the for...
Numerical solution to Belousov朲habotinskii model and a comparison with the finite difference method
Traveling wavelets method reaction- diffusion system
2010/9/10
In this work, we find a numerical solution to Belousov – Zhabontinskii system, we use the traveling wavelets method. It is well known that this model describes a chemical reaction. The results obtaine...
Numerical solution of steady two-dimensional MHD forward stagnation-point flow
Numerical solution steady two-dimensional MHD forward stagnation-point flow
2010/9/10
Steady two dimensional stagnation point flow of an incompressible viscous electrically conducting fluid over a flat plate is investigated. It is shown that the velocity at a point decreases/increases ...
Numerical solution of two-point boundary value problem in linear differential equation
Differential equation Legendre polynomials
2010/9/14
A numerical method for solving linear differential equation with twopoint boundary value condition is presented. The method is based upon function approximations.The properties of Legendre polynomials...
Spline collocation approach for the numerical solution of a generalized system of second-order boundary-value problems
Spline method Finite element
2010/9/15
In this paper, a spline finite element approach is manipulated for the numerical solution of an extended system of second-order boundaryvalue problems. The efficiency of the proposed method is examine...
Numerical solution of nonlinear Volterra-Hammerstein integral equations using the hybrid of block-pulse and rationalized Haar functions
Hybrid Rationalized Haar Block-pulse Volterra-Hammerstein
2010/9/14
A numerical method for finding the solution of nonlinear Volterra-Hammerstein integral equations is proposed. The properties of the hybrid functions which consists of block-pulse functions plus ration...
Exact and numerical solution of Kawahara equation by the variational iteration method
Variational iteration method Kawahara equation
2010/9/14
In this Letter, exact and numerical solutions are obtained for the Kawahara equation by the known variational iteration method (VIM). This method is based on Lagrange multipliers for identification of...
Numerical solution of fuzzy integral equations
Fuzzy number Fuzzy linear system Fuzzy integral equations
2010/9/10
In this paper, a numerical procedure for solving fuzzy Fredholm integral equations of the second kind (FIEs) with arbitrary kernels have been investigated and residual minimization method is given and...
Numerical solution of second-order matrix differential models using cubic matrix splines
Second Order Matrix Linear Differential Equation Cubic Spline
2010/9/16
This paper deals with the construction of approximate solution of second-order matrix linear differential equations using matrix cubic splines.An estimation of the approximation error, an algorithm fo...
On the numerical solution of large scale Sylvester matrix equations
Sylvester matrix equations Global FOM method
2010/9/16
This paper presents equivalent forms of the Sylvester matrix equations.These equivalent forms allow us to use block linear methods for solving large Sylvester matrix equations. In each step of theses ...
Numerical solution of an inverse diffusion problem
Nonlinear inverse diffusion problem Finite difference method
2010/9/15
In this paper, we propose an algorithm for numerical solving an inverse nonlinear diffusion problem. The algorithm is based on the linearized nonlinear terms by Taylor´s series expansion, remove...
Numerical solution of fuzzy differential equations
Fuzzy differential equations IterativeModified Euler’s method
2010/9/16
We present solution of first order fuzzy differential equations (FDEs)by modified Euler’s method and it’s iterative solution. The method is discussed in detail and this is followed by a complete error...