A new and efficient numerical approach is developed for solving nonlinear Lane-Emden type equations via Bernoulli operational matrix of differentiation.The fundamental structure of the presentedmethod is based on theTaumethod togetherwith theBernoulli polynomial approximations in which a new operational matrix is introduced. After implementation of our scheme, the main problem would be transfor...

In this article, the second kind Chebyshev wavelet method is presented for solving a class of multi-order fractional differential equations (FDEs) with variable coefficients. We first construct the second kind Chebyshev wavelet, prove its convergence and then derive the operational matrix of fractional integration of the second kind Chebyshev wavelet. The operational matrix of fractional integr...

This paper proposes new admittance matrix models to approach the behavior of fully-differential Operational Transresistance Amplifiers (OTRAs) and Current Operational Amplifiers (COAs). The infinity-variables method is used in order to derive the new generalized models. As a consequence, standard nodal analysis being improved to compute fully-symbolic small-signal characteristics of fullydiffer...

A direct Ritz method for solving variational problems with fixed and free boundary conditions is demonstrated. Walsh-hybrid method bases are used as the basis functions. It is shown how the form of the operational matrix of integration affects accuracy of the obtained approximate solutions. The properties of the Walsh-hybrid functions with the operational matrix of integration and the cross pro...

In this paper, the two-dimensional second kind Chebyshev wavelets are applied for numerical solution of the time-fractional telegraph equation with Dirichlet boundary conditions. In this way, a new operational matrix of fractional derivative for the second wavelets is derived and then this operational matrix has been employed to obtain the numerical solution of the above mentioned problem. The ...