An Analytic-Numerical Method for Solving Difference Equations with Variable Coefficients by Discrete Multiplicative Integration
by
Mohammad Jahanshahi
Dept of Math- Azad Islamic University of Karadj, Rajaee Shahr / Karadj/ IRAN
Coauthors: N. Aliev, H.R. Khatami

There are some physical phenomena and engineering problems which their mathematical models are appeared as difference equations with variable coefficients. In this paper,at first we define the concept of discrete multiplicative derivative and discrete multiplicative integration,then the invariant function with respect to this derivative is introduced.

Next differential equations of this type of derivative are considered. In the final section, we consider some initial and boundary value problems which include difference equations with variable coefficients. At the end,by making use of linear algebra and numerical differentiation and discrete multiplicative integration, we present an analytic-numerical method for solving these difference equations.

Date received: February 14, 2004

Copyright © 2004 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # calu-70.