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

Muhammad Aslam Noor | Zendy; Khalida Inayat Noor | Zendy; Asif Waheed | Zendy; Eisa Al-Said | Zendy

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

Author(s) -

Muhammad Aslam Noor,

Khalida Inayat Noor,

Asif Waheed,

Eisa Al-Said

Publication year - 2011

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2011/250184

Subject(s) - discretization , nonlinear system , mathematics , boundary value problem , transformation (genetics) , obstacle , third order , mathematical optimization , series (stratigraphy) , perturbation (astronomy) , obstacle problem , convergent series , boundary (topology) , mathematical analysis , paleontology , biochemistry , chemistry , physics , philosophy , theology , quantum mechanics , biology , political science , law , gene , power series

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

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