A multiscale Galerkin method for second-order boundary value problems of Fredholm integro-differential equation II: Efficient algorithm for the discrete linear system

2019 ◽  
Vol 58 ◽  
pp. 112-118 ◽  
Author(s):  
Jian Chen ◽  
Minfan He ◽  
Taishan Zeng
Keyword(s):  
Differential Equation ◽  
Linear System ◽  
Galerkin Method ◽  
Boundary Value Problems ◽  
Efficient Algorithm ◽  
Boundary Value ◽  
Second Order ◽  
Integro Differential Equation

scholarly journals Wavelet-Galerkin Quasilinearization Method for Nonlinear Boundary Value Problems

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Umer Saeed ◽  
Mujeeb ur Rehman
Keyword(s):  
Differential Equation ◽  
Galerkin Method ◽  
Boundary Value Problems ◽  
Nonlinear Boundary ◽  
Boundary Value ◽  
Quasilinearization Method ◽  
Nonlinear Boundary Value Problems ◽  
Wavelet Galerkin Method ◽  
Nonlinear Boundary Value ◽  
Quasilinearization Technique

A numerical method is proposed by wavelet-Galerkin and quasilinearization approach for nonlinear boundary value problems. Quasilinearization technique is applied to linearize the nonlinear differential equation and then wavelet-Galerkin method is implemented to linearized differential equations. In each iteration of quasilinearization technique, solution is updated by wavelet-Galerkin method. In order to demonstrate the applicability of proposed method, we consider the various nonlinear boundary value problems.

scholarly journals Extended cubic B-spline method for solving a linear system of second-order boundary value problems

SpringerPlus ◽  
2016 ◽  
Vol 5 (1) ◽  
Author(s):  
Ahmed Salem Heilat ◽  
Nur Nadiah Abd Hamid ◽  
Ahmad Izani Md. Ismail
Keyword(s):  
Linear System ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Second Order ◽  
Spline Method ◽  
B Spline
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