Solution of Second-Order IVP and BVP of Matrix Differential Models Using Matrix DTM-Reference-Cited by-同舟云学术

Solution of Second-Order IVP and BVP of Matrix Differential Models Using Matrix DTM

Published:2012 Issue: Volume:2012 Page:1-11
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Abazari Reza¹^ORCID,Kılıcman Adem²^ORCID

Affiliation:

1. Young Researchers Club, Ardabil Branch, Islamic Azad University, P.O. Box 56169-54184, Ardabil, Iran

2. Department of Mathematics, Universiti Putra Malaysia (UPM), 43400, Serdang, Malaysia

Abstract

We introduce a matrix form of differential transformation method (DTM) and apply for nonlinear second-order initial value problems (IVPs) and boundary value problems (BVPs) of matrix models which are given by and subject to initial conditions and boundary conditions , where . Also the convergence of present method is established. Several illustrative examples are given to demonstrate the effectiveness of the present method.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2012/738346.pdf

Reference22 articles.

1. OPTIMAL CONTROL FOR MECHANICAL VIBRATION SYSTEMS BASED ON SECOND-ORDER MATRIX EQUATIONS

2. A direct approach to second-order matrix non-classical vibrating equations

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4. Numerical multisteps matrix methods for Y″ = f(t, Y)

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