the current paper proposes a technique for the numerical solution of linear control systems.the method is based on galerkin method, which uses the interpolating scaling functions. fora highly accurate connection between functions and their derivatives, an operational matrix forthe derivatives is established to reduce the problem to a set of algebraic equations. several testproblems are given, a...

In many applications, wavelets are usually expected to have the following properties: compact support, orthogonality, linear-phase, regularity, and interpolation. To construct such wavelets, it is crucial designing scaling functions with the above properties. In twoand three-band cases, except for the Haar functions, there exists no scaling function with the above five properties. In -band case...

The current paper proposes a technique for the numerical solution of linear control systems.The method is based on Galerkin method, which uses the interpolating scaling functions. For a highly accurate connection between functions and their derivatives, an operational matrix for the derivatives is established to reduce the problem to a set of algebraic equations. Several test problems are given...

Abstract: A numerical technique is presented for the solution of Klein-Gordon equation. This method uses interpolating scaling functions. The method consists of expanding the required approximate solution as the elements of interpolating scaling functions. Using the operational matrix of derivatives, we reduce the problem to a set of algebraic equations. Some numerical examples are included to ...

We present a new method to construct interpolating reenable functions in higher dimensions. The approach is based on the solutions to speciic Lagrange interpolation problems by polynomials and applies to a large class of scaling matrices. The resulting scaling functions automatically satisfy certain Strang{Fix conditions. Several examples are discussed.