Showing 3 results for روش مستقیم
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
S Bodaghi, A Shahrezaee,
Volume 10, Issue 1 (3-2010)
Abstract
In this article, we compare two procedures for solving a parabolic inverse heat problem subject to the over specified boundary condition .The first procedure is obtained by introducing transformation of unknown function and solving transformed problem by finite difference method. And the second method based on trace-type functional (TTF) formulation is examined on the solving of considered problem. Some numerical examples are presented
S Bazm, Esmaeil Babolian,
Volume 11, Issue 2 (2-2011)
Abstract
In this paper, we use operational matrices of piecewise constant orthog-
onal functions on the interval [0,1] to solve fractional differential , integral
and integro-differential equations without solving any system. We first ob-
tain Laplace transform of the problem and then we find numerical inversion
of Laplace transform by operational matrices. Numerical examples show
that the approximate solutions have a good degree of accuracy.
