New iterative method with higher-order convergence for scalar equations

2016 ◽  
Vol 10 ◽  
pp. 339-356
Author(s):  
Shin Min Kang ◽  
Arif Rafiq ◽  
Shahzad Ahmad ◽  
Young Chel Kwun
Keyword(s):  
Iterative Method ◽  
Higher Order ◽  
Order Convergence ◽  
Higher Order Convergence ◽  
Scalar Equations ◽  
New Iterative Method

scholarly journals New Iterative Method Based on Laplace Decomposition Algorithm

2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
Sabir Widatalla ◽  
M. Z. Liu
Keyword(s):  
Iterative Method ◽  
Higher Order ◽  
Decomposition Algorithm ◽  
Computational Time ◽  
Adomian Polynomials ◽  
Different Types ◽  
New Form ◽  
New Iterative Method

We introduce a new form of Laplace decomposition algorithm (LDA). By this form a new iterative method was achieved in which there is no need to calculate Adomian polynomials, which require so much computational time for higher-order approximations. We have implemented this method for the solutions of different types of nonlinear pantograph equations to support the proposed analysis.

Sign in / Sign up

Export Citation Format

Share Document