An Efficient Method for Solving System of Third-Order Nonlinear Boundary Value Problems

An Efficient Method for Solving System of Third-Order Nonlinear Boundary Value Problems

we use the modified variation of parameters method for finding the analytical solution of a system of third-order nonlinear boundary value problems associated with obstacle, unilateral, and contact problems. The results are calculated in terms of convergent series with easily computable components....

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Main Authors: Muhammad Noor, Khalida Noor, Asif Waheed, Eisa A. Al-Said
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2011/250184
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spelling doaj-537993b46f75475196636eafd45f0f5b2020-11-24T23:30:48ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472011-01-01201110.1155/2011/250184250184An Efficient Method for Solving System of Third-Order Nonlinear Boundary Value ProblemsMuhammad Noor0Khalida Noor1Asif Waheed2Eisa A. Al-Said3Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Chak Shahzad, Islamabad, PakistanDepartment of Mathematics, COMSATS Institute of Information Technology, Park Road, Chak Shahzad, Islamabad, PakistanDepartment of Mathematics, COMSATS Institute of Information Technology, Park Road, Chak Shahzad, Islamabad, PakistanMathematics Department, College of Science, King Saud University, Riyadh, Saudi Arabiawe use the modified variation of parameters method for finding the analytical solution of a system of third-order nonlinear boundary value problems associated with obstacle, unilateral, and contact problems. The results are calculated in terms of convergent series with easily computable components. The suggested technique is applied without any discretization, perturbation, transformation, and restrictive assumptions. Moreover, it is free from round off errors. Some examples are given to illustrate the implementation and efficiency of the modified variation of parameters method.http://dx.doi.org/10.1155/2011/250184
collection DOAJ
language English
format Article
sources DOAJ
author Muhammad Noor
Khalida Noor
Asif Waheed
Eisa A. Al-Said
spellingShingle Muhammad Noor
Khalida Noor
Asif Waheed
Eisa A. Al-Said
An Efficient Method for Solving System of Third-Order Nonlinear Boundary Value Problems
Mathematical Problems in Engineering
author_facet Muhammad Noor
Khalida Noor
Asif Waheed
Eisa A. Al-Said
author_sort Muhammad Noor
title An Efficient Method for Solving System of Third-Order Nonlinear Boundary Value Problems
title_short An Efficient Method for Solving System of Third-Order Nonlinear Boundary Value Problems
title_full An Efficient Method for Solving System of Third-Order Nonlinear Boundary Value Problems
title_fullStr An Efficient Method for Solving System of Third-Order Nonlinear Boundary Value Problems
title_full_unstemmed An Efficient Method for Solving System of Third-Order Nonlinear Boundary Value Problems
title_sort efficient method for solving system of third-order nonlinear boundary value problems
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2011-01-01
description we use the modified variation of parameters method for finding the analytical solution of a system of third-order nonlinear boundary value problems associated with obstacle, unilateral, and contact problems. The results are calculated in terms of convergent series with easily computable components. The suggested technique is applied without any discretization, perturbation, transformation, and restrictive assumptions. Moreover, it is free from round off errors. Some examples are given to illustrate the implementation and efficiency of the modified variation of parameters method.
url http://dx.doi.org/10.1155/2011/250184
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AT eisaaalsaid anefficientmethodforsolvingsystemofthirdordernonlinearboundaryvalueproblems
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