An effective spectral collocation method for the direct solution of high-order ODEs

An effective spectral collocation method for the direct solution of high-order ODEs

Chebyshev Spectral Collocation Method for Computing Numerical Solution of Telegraph Equation

In this paper, the Chebyshev spectral collocation method(CSCM) for one-dimensional linear hyperbolic telegraph equation is presented. Chebyshev spectral collocation method have become very useful in providing highly accurate solutions to partial differential equations. A straightforward implementation of these methods involves the use of spectral differentiation matrices. Firstly, we transform ...

Application of high-order spectral method for the time fractional mobile/immobile equation

In this paper, a numerical efficient method is proposed for the solution of time fractional mobile/immobile equation. The fractional derivative of equation is described in the Caputo sense. The proposed method is based on a finite difference scheme in time and Legendre spectral method in space. In this approach the time fractional derivative of mentioned equation is approximated by a scheme of ord...

nano-rods zno as an efficient catalyst for the synthesis of chromene phosphonates, direct amidation and formylation of amines

چکیده ندارد.

Accelerated Solution of High Order Non-linear ODEs using Chebyshev Spectral Method Comparing with Adomian Decomposition Method

In this article, an accurate Chebyshev spectral method for solving high order non-linear ODEs is presented. Properties of the Chebyshev polynomials are utilized to reduce the computation of the problem to a set of algebraic equations. Some examples are given to verify and illustrate the efficiency and simplicity of the method. We compared our numerical results against the Adomian decomposition ...