In this paper the Kuramoto-Sivashinsky equation is solved numerically by collocation method. The solution is approximated as a linear combination of septic B-spline functions. Applying the Von-Neumann stability analysis technique, we show that the method is unconditionally stable. The method is applied on some test examples, and the numerical results have been compared with the exact solutions....

Heat conduction through eccentric systems with circular inner surface and regular polygonal outer surface has been analyzed. Constant wall temperature at the inner surface and convective heat transfer from the outer surface is considered. A two dimensional semi analytical method using boundary collocation technique is used in which collocation points are considered on the outer periphery of the...

The sinc-collocation method is presented for solving a nonlinear system of second-order boundary value problems. Some properties of the sinc-collocation method required for our subsequent development are given and are utilized to reduce the computation of solution of the system of second-order boundary value problems to some algebraic equations. Numerical examples are included to demonstrate th...

The present paper describes how to apply the Chebyshev orthogonal collocation technique to solve steady-state and unsteady-steady two-dimensional problems. All problems are solved using one single computer algebra, Mathematica . The problems include: (1) steady-state heat transfer in a rectangular bar, (2) steady-state flow in a rectangular duct, (2) steady-state heat transfer in a cooling cyli...

This paper discusses the study of optical solitons that are modeled by Riesz fractional Chen-Lee-Liu model, one versions famous nonlinear Schrödinger equation. model is solved assistance consecutive spectral collocation technique with two independent approaches. The first approach spatial variable, while other temporal variable. It concluded method current far more efficient and credible for pr...

the current paper contributes a novel framework for solving a class of linear matrix differential equations. to do so, the operational matrix of the derivative based on the shifted bernoulli polynomials together with the collocation method are exploited to reduce the main problem to system of linear matrix equations. an error estimation of presented method is provided. numerical experiments are...

one of the most important and brilliant aspects in each language is the collocation that finally add up to lexical coherence . coming together in semantics considers as one of the semantic relationships at lexical level that appears at all languages , and doesnt specialize for a certain language . mean while .the study of pre-islamic period poem about coming together is a significant affair . t...

abstractthe present study explores the impact of corpus-based collocation instruction on intermediate iranian efl learners' writing ability. for this study, 84 iranian learners, studying english as a foreign language in bayan institute, iran, were selected and were randomly divided into two groups, experimental and control. conventional methods of writing instruction were taught to the control ...

In this paper, a new collocation method, which is based on Boubaker polynomials, is introduced for the approximate solutions of a class of two-dimensional linear Fredholm integral equationsof the second kind. The properties of two-dimensional Boubaker functions are presented. The fundamental matrices of integration with the collocation points are utilized to reduce the solution of the integral ...