in this paper, we apply the laplace decomposition method to obtain a series solutions of the burgers-huxley and burgers-fisher equations. the technique is based on the application of laplace transform to nonlinear partial differential equations. the method does not need linearization, weak nonlinearity assumptions or perturbation theory and the nonlinear terms can be easily handled by using the...

the computational method based on using the operational matrix of anorthogonal function for solving variational problems is computeroriented. in this approach, a truncated hartley series together withthe operational matrix of integration and integration of the crossproduct of two cas vectors are used for finding the solution ofvariational problems. two illustrative examples are included todemon...

Time series problems involve analysis of periodic functions for predicting the future. A flexible regression method should be able to dynamically select the appropriate model to fit the available data. In this paper, we present a function approximation scheme that can be used for modeling periodic functions using a series of orthogonal polynomials, named Chebychev polynomials. In our approach, ...

Abstract The degenerate Stirling numbers of the second kind and first kind, which are, respectively, versions appear frequently when we study various some special polynomials. aim this article is to consider r -truncated reduce for = 1, investigate their explicit expressions, properties related identities, in connection with several other

In this paper, we tried to evaluate the fractional derivatives by using the Chebyshev series expansion. We discuss the indefinite quadrature rule to estimate the fractional derivatives of Riemann-Liouville type.

The coupled free vibration of liquid and its elastic cover, such as a plate or membrane, in three-dimensional rectangular tank is investigated through an analytical scheme based on the velocity potential theory for flow linear cover. For fluid domain, expanded into double cosine series along longitudinal transverse directions, respectively, with corresponding eigenvalues determined from imperme...