In numerical analysis specially in finding numerical solution for PDEs and integral equations, different

basis functions are used. Frames have not been used in the mentioned methods, because of the lack of

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in this study, a new simple technique called, ″smart collocation″ is presented. This method is an extension of the collocation method for solving strongly nonlinear boundary value ordinary differential equations. Effects of varying the iteration...

The objective of this paper is to propose a novel solution method for Itˆo stochastic differential

equations (SDEs). It is discussed that how the SDEs could numerically be solved as matrix problems.

To improve ...

The meshless method of lines (MOL) is proposed for the numerical solution of time dependent partial differential equations (PDEs). After approximating spatial derivatives of equation and boundary condition by radial basis ...

In this paper, an efficient numerical method which is a combination of the variational iteration method and the spectral collocation method is developed for solving a class of nonlinear Fredholm integral equations (NFIEs). This method is easy...

In this paper moving mesh generation equations are used to obtain adaptive centers for radial

basis functions. At first, a set of uniform centers are distributed in the domain, then mesh generation

differential ...

In the present study, a numerical method is proposed for simulating the coupled three dimensional heat and mass transfer processes during convective drying of apple slices. Spectral collocation method (pseudospectral method) is applied...