Open AccessA Comparative Study on Modifications of Decomposition Method
Author(s) -
Jamshad Ahmad,
Madiha Tahir,
Liaqat Tahir,
Muhammad Naeem
Publication year - 2016
Publication title -
international journal of advances in scientific research
Language(s) - English
Resource type - Journals
ISSN - 2395-3616
DOI - 10.7439/ijasr.v2i8.3484
Subject(s) - laplace transform , nonlinear system , volterra integral equation , integral equation , simple (philosophy) , mathematics , decomposition , reliability (semiconductor) , decomposition method (queueing theory) , computer science , mathematical optimization , mathematical analysis , physics , ecology , philosophy , power (physics) , epistemology , discrete mathematics , quantum mechanics , biology
Many mathematical physics models are contributed to give rise to of nonlinear integral equations. In this paper, we study the performance of two recently developed modifications of well known so called Adomians decomposition method applied using Laplace transform to nonlinear Volterra integral equations. Three nonlinear Volterra integral equations are solved analytically by implementing these modifications. From the obtained results, it may be concluded that that the modified techniques are reliable, efficient and easy to use through recursive relations that involve simple integrals. Moreover, these particular examples show the reliability and the performance of proposed modifications.