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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...
Generalized Laguerre polynomials collocation method for solving Lane-Emden equation
Lane-Emden equation Generalized Laguerre polynomials
2010/9/14
In this paper we propose, a collocation method for solving nonlinear singular Lane-Emden equation which is a nonlinear ordinary differential equation on semi-infnite interval. This approach is based o...
Collocation and Fredholm Integral Equations of the First Kind
Collocation Fredholm integral equations weighted quadrature
2008/7/1
We consider the problem of numerical inversion of Fredholm integral equations of the first kind via piecewise interpolation. One of the most important aspects of this technique is the choice of grid a...
Spectral collocation method for parabolic partial differential equations with Neumann boundary conditions
Pseudospectral method parabolic PDEs
2010/9/15
In this paper, we present a new method for solving of the parabolic partial differential equation (PPDEs) with Neumann boundary conditions by using the collocation formula for calculating spectral dif...