Hybrid-Galerkin Approach for Solving Two-dimensional Volterra-Fredholm Integral Equations
Journal Title: Journal of Science and today’s world - Year 2017, Vol 6, Issue 12
Abstract
The main focus of this paper is to present an effective numerical method for solving two-dimensional Volterra-Fredholm integral equations, which occur in modeling of many phenomena in physics and engineering. For this purpose, we provide a novelty set of two-dimensional basis functions by combination of bivariate Legendre polynomials and block-pulse functions. We entitle them "2D-LHFs". In our method, we use the exact forms of the known functions in integral equation. So, in comparison of other similar methods, we achieve to a more accurate solution. The proposed method reduces an integral equation to a system of algebraic equations. Moreover, some theorems about the convergence and error of 2D-LHFs are proved. We present some examples and compare our numerical results with the other methods ones, to confirm the efficiency and accuracy of the proposed method.
Authors and Affiliations
M. Roodaki , Z. JafariBehbahani
Keywords
Related Articles
- EP ID EP29698
- DOI -
- Views 354
- Downloads 5
The Comparison between the Return of Different Methods of Selecting the Value and Growth Stocks in Tehran Stock Exchange
The optimal investment requires good investment strategy and taking advantage of them and changing them according to alternative conditions. Growth investment and value investment are the strategies used by investors a...
A Comparative Study of Multiple Intelligences in Different Ages
This research is a comparative study of multiple intelligences in different ages. It was implemented on 400 high school students to investigate the significance of Multiple Intelligences in different ages. Arak city, t...
Comparison of Homespun Poems in Constitutional (Mashrute) Era
Analyzing and comparison of home-made poems is a recent and efficient method which has nor drawn attention in our literature. Due to importance of home-made poems and constitutional era poets’ position who, truly, had...
Investigating the Relationship of the Marital Satisfaction and Mental Health of Parents with the Self-esteem and Individual-social Adaptation of Female Elementary Students of Ahvaz City
The objective of present study is to investigate the association of marital satisfaction and mental health of mothers with self-esteem and individual-social adaptation of the elementary students of Ahvaz City during th...
The Role of Options in Classic Contracts and Electronic Contracts
World Wide Web has proposed opportunities and concerns to human society and Islamic countries. E-commerce, is one of the outcomes of this surrounding network, which led to new jurisprudence and legal concerns, which de...