Open AccessSolution of Eighth Order Boundary Value Problems Using Differential Transformation Technique
Author(s) -
Merna Samarchi
Publication year - 2010
Publication title -
maǧallaẗ al-rāfidayn li-ʿulūm al-ḥāsibāt wa-al-riyāḍiyyāẗ/al-rafidain journal for computer sciences and mathematics
Language(s) - English
Resource type - Journals
eISSN - 2311-7990
pISSN - 1815-4816
DOI - 10.33899/csmj.2010.163855
Subject(s) - boundary value problem , mathematics , convergent series , transformation (genetics) , series (stratigraphy) , order (exchange) , numerical analysis , differential equation , mathematical analysis , value (mathematics) , differential (mechanical device) , boundary (topology) , power series , paleontology , aerospace engineering , finance , chemistry , statistics , biochemistry , gene , economics , engineering , biology
In this paper we have applied the Differential Transform Method (DTM) for solving eighth-order boundary value problems. The analytical and numerical results of the equations have been obtained in terms of convergent series with the easily computable components. Three examples are considered for the numerical illustrate and implementation of this method. Numerical Comparisons with respect to the analytical solutions have been considered . It is observed that the method is an alternative and efficient for finding the approximate solutions of the boundary values problems.
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