Showing 2 results for Orthogonal Functions
Volume 18, Issue 44 (10-2009)
Abstract
Hybrid of rationalized Haar functions are developed to approximate the solution of the differential equations. The properties of hybrid functions which are the combinations of block-pulse functions and rationalized Haar functions are first presented. These properties together with the Newton-Cotes nodes are then utilized to reduce the differential equations to the solution of algebraic equations. The method is computationally attractive, and applications are demonstrated through illustrative examples.
Volume 18, Issue 48 (2-2007)
Abstract
A numerical method for solving variational problems is presented in this paper. The method is based upon hybrid of Hartley functions approximations. The properties of hybrid functions which are the combinations of block-pulse functions and Hartley functions are first presented. The operational matrix of integration is then utilized to reduce the variational problems to the solution of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique.
