Error bounds for the solution of nonlinear two-point boundary value problems by Galerkin's method

1972 ◽  
Vol 19 (2) ◽  
pp. 99-109 ◽  
Author(s):  
J. J. Blair
Keyword(s):  
Boundary Value Problems ◽  
Error Bounds ◽  
Boundary Value ◽  
Point Boundary ◽  
Galerkin’S Method ◽  
Galerkin's Method

The Modified VIM for Certain Type of the Nonlinear Two-Point Boundary Value Problems

2019 ◽  
Vol 17 (03) ◽  
pp. 1850131 ◽  
Author(s):  
Asghar Ghorbani ◽  
Hadi Passandideh
Keyword(s):  
Convergence Rate ◽  
Boundary Value Problems ◽  
Convergence Analysis ◽  
Error Bounds ◽  
Iteration Method ◽  
Boundary Value ◽  
Variational Iteration Method ◽  
Current Paper ◽  
Effective Procedure ◽  
Point Boundary

In the current paper, we introduce a different version of the variational iteration method (VIM) that provide an easy and effective procedure for solving nonlinear two-point boundary-value problems appearing in applied and engineering applications. For problems where convergence rate of the original VIM is slow, the method can be readily improved to increase convergence rate. Convergence analysis and error bounds are discussed. Finally, applicability of the proposed method and accuracy are examined by solving three problems.

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