Applied Mathematics and Physics
ISSN (Print): 2333-4878 ISSN (Online): 2333-4886 Website: http://www.sciepub.com/journal/amp Editor-in-chief: Vishwa Nath Maurya
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Applied Mathematics and Physics. 2014, 2(4), 124-127
DOI: 10.12691/amp-2-4-1
Open AccessArticle

Two Numerical Methods to Solve the Second Order Multi-pantograph Equation with Boundary Conditions

Mahdi Ahmadinia1, and Zeinab Safari1

1Department Mathematics, University of Qom, Qom, Iran

Pub. Date: June 18, 2014

Cite this paper:
Mahdi Ahmadinia and Zeinab Safari. Two Numerical Methods to Solve the Second Order Multi-pantograph Equation with Boundary Conditions. Applied Mathematics and Physics. 2014; 2(4):124-127. doi: 10.12691/amp-2-4-1

Abstract

In this article, we present two numerical methods to solve the second order multi-pantograph equation with boundary conditions. The multi-pantograph equation is converted to an integral equation then the integral equation is solved by two projective methods. Some properties of Chebyshev polynomials are employed to prove the convergence analysis of the two proposed methods. Finally, numerical examples also are given to illustrate the efficiency and validity of the two proposed methods.

Keywords:
Multi-pantograph equation Integral equation Chebyshev polynomials

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