MATEC Web of Conferences
Volume 57, 20164th International Conference on Advancements in Engineering & Technology (ICAET-2016)
|Number of page(s)||4|
|Section||Material and Applied Sciences|
|Published online||11 May 2016|
Newton-Raphson based modified Laplace Adomian decomposition method for solving quadratic Riccati differential equations
Department of Mathematics, Sant Longowal Institute of Engineering and Technology, Longowal, Punjab, India
a Corresponding author: email@example.com
Numerical Laplace transform method is applied to approximate the solution of nonlinear (quadratic) Riccati differential equations mingled with Adomian decomposition method. A new technique is proposed in this work by reintroducing the unknown function in Adomian polynomial with that of well known Newton-Raphson formula. The solutions obtained by the iterative algorithm are exhibited in an infinite series. The simplicity and efficacy of method is manifested with some examples in which comparisons are made among the exact solutions, ADM (Adomian decomposition method), HPM (Homotopy perturbation method), Taylor series method and the proposed scheme.
© Owned by the authors, published by EDP Sciences, 2016
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.