Showing 2 results for Direct Method
Volume 9, Issue 1 (10-2010)
Abstract
A direct method to determine numerical solutions of linear Volterra integro-differential equations is presented in this paper.. This method is based on block-pulse functions and its operational matrix. By using this approach, the integro-differential equation reduces to a linear lower triangular system of algebraic equations which can be solved easily. Some numerical examples are provided to illustrate accuracy and computational efficiency of the method. MSC: 45J05 41A30
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.
