Open AccessMathematical Modelling in Engineering with Integral Transforms via Modified Adomian Decomposition Method
Author(s) -
Minakshi Mohanty,
Saumya Ranjan Jena,
Satya Kumar Misra
Publication year - 2021
Publication title -
mathematical modelling and engineering problems/mathematical modelling of engineering problems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.26
H-Index - 11
eISSN - 2369-0747
pISSN - 2369-0739
DOI - 10.18280/mmep.080310
Subject(s) - adomian decomposition method , homogeneous , mathematics , decomposition , decomposition method (queueing theory) , homogeneous differential equation , work (physics) , mathematical analysis , ordinary differential equation , differential equation , differential algebraic equation , physics , ecology , discrete mathematics , combinatorics , biology , thermodynamics
In this work three integral transforms through modified Adomian decomposition method (ADM) are proposed to obtain the approximate analytical solution of different types of mathematical models arising in physical problems. These transformations are applied for both homogeneous and non-homogeneous linear differential equations. The efficiency and accuracy of the proposed methods are implemented through higher order non-homogeneous ordinary differential equations. Numerical tests are reported for applicability of the current scheme based on different transformations and compared with exact solutions.