In this paper, we explore the applicability of the SincCollocation method to a three-dimensional (3D) oceanography model. The model describes a wind-driven current with depth-dependent eddy viscosity in the complex-velocity system. In general, the Sinc-based methods excel over other traditional numerical methods due to their exponentially decaying errors, rapid convergence and handling problems...

In this paper, we deals with a system of integral algebraic equations of Hessenberg type. Using a new definition of index the existence and uniqueness of solution for this system are studied. The well-known piecewise continuous collocation methods are used to solve this system numerically and the convergence properties of the perturbed piecewise continuous collocation methods are investigated t...

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 ...