A decomposition method in non-linear programmm

Optimization ◽  
1975 ◽  
Vol 6 (4) ◽  
pp. 549-559
Author(s):  
L. Gerencsér
Keyword(s):  
Decomposition Method ◽  
Non Linear

scholarly journals Approximate analytical solutions of non-linear local fractional heat equations

2019 ◽  
Vol 23 (Suppl. 3) ◽  
pp. 837-841 ◽  
Author(s):  
Shuxian Deng
Keyword(s):  
Analytical Solutions ◽  
Decomposition Method ◽  
Adomian Decomposition Method ◽  
Heat Equations ◽  
Transform Method ◽  
Fractional Complex Transform ◽  
Fractional Heat Equation ◽  
Approximate Analytical Solutions ◽  
Adomian Decomposition ◽  
Non Linear

Consider the non-linear local fractional heat equation. The fractional complex transform method and the Adomian decomposition method are used to solve the equation. The approximate analytical solutions are obtained.

scholarly journals Analytical solution for non-linear local fractional Bratu-type equation in a fractal space

2020 ◽  
Vol 24 (6 Part B) ◽  
pp. 3941-3947
Author(s):  
Shao-Wen Yao ◽  
Wen-Jie Li ◽  
Kang-Le Wang
Keyword(s):  
Analytical Solution ◽  
Fractional Derivative ◽  
Variational Formulation ◽  
Decomposition Method ◽  
Approximate Analytical Solution ◽  
Type Equation ◽  
Transform Method ◽  
Inverse Transform ◽  
Non Linear ◽  
Fractal Space

In this paper, the non-linear local fractional Bratu-type equation is described by the local fractional derivative in a fractal space, and its variational formulation is successfully established according to semi-inverse transform method. Finally, we find the approximate analytical solution of the local fractional Bratu-type equation by using Adomina decomposition method.

scholarly journals New optical explicit plethora of the resonant Schrodinger’s equation via two recent computational schemes

2020 ◽  
Vol 24 (Suppl. 1) ◽  
pp. 247-255
Author(s):  
Mostafa Khater ◽  
Abdel-Haleem Abdel-Aty ◽  
Ghada Alnemer ◽  
Mohammed Zakarya ◽  
Dianchen Lu
Keyword(s):  
Decomposition Method ◽  
Adomian Decomposition Method ◽  
Research Paper ◽  
Linear Optics ◽  
Computational Schemes ◽  
Non Linear Optics ◽  
Wave Solutions ◽  
Adomian Decomposition ◽  
Non Linear ◽  
Schrödinger's Equation

This research paper investigates the computational solutions of the resonant Schr?dinger?s equation. The modified Khater method and Adomian decomposition method are applyied for construct new analytical traveling and semi-analytical wave solutions. This model describes the pulse phenomena and studied in non-linear optics. For further illustration of our obtained solutions, some distinct types of sketches are given.

scholarly journals Optimized Domain Decomposition Method for Non Linear Reaction Advection Diffusion Equation

2016 ◽  
Vol 12 (27) ◽  
pp. 63 ◽  
Author(s):  
M.R. Amattouch ◽  
N. Nagid ◽  
H. Belhadj
Keyword(s):  
Diffusion Equation ◽  
Domain Decomposition ◽  
Rate Of Convergence ◽  
Decomposition Method ◽  
Domain Decomposition Method ◽  
Advection Diffusion Equation ◽  
Advection Diffusion ◽  
Linear Reaction ◽  
Non Linear ◽  
Schwarz Algorithm

This work is devoted to an optimized domain decomposition method applied to a non linear reaction advection diffusion equation. The proposed method is based on the idea of the optimized of two order (OO2) method developed this last two decades. We first treat a modified fixed point technique to linearize the problem and then we generalize the OO2 method and modify it to obtain a new more optimized rate of convergence of the Schwarz algorithm. To compute the new rate of convergence we have used Fourier analysis. For the numerical computation we minimize this rate of convergence using a global optimization algorithm. Several test-cases of analytical problems illustrate this approach and show the efficiency of the proposed new method.

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