Iterative solution of linear and nonlinear systems derived from elliptic partial differential equations

1975 ◽  
pp. 265-296
Author(s):  
David M. Young
Keyword(s):  
Partial Differential Equations ◽  
Nonlinear Systems ◽  
Differential Equations ◽  
Iterative Solution ◽  
Elliptic Partial Differential Equations ◽  
Partial Differential ◽  
Linear And Nonlinear ◽  
Linear And Nonlinear Systems

scholarly journals On the Coupling of the Homotopy Perturbation Method and New Integral Transform for Solving Systems of Partial Differential Equations

2019 ◽  
Vol 2019 ◽  
pp. 1-7
Author(s):  
E. E. Eladdad ◽  
E. A. Tarif
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Perturbation Method ◽  
Homotopy Perturbation Method ◽  
Numerical Solutions ◽  
Integral Transform ◽  
Partial Differential ◽  
Homotopy Perturbation ◽  
Linear And Nonlinear ◽  
Linear And Nonlinear Systems

In the current work, a combination between a new integral transform and the homotopy perturbation method is presented. This combination allows to obtain analytic and numerical solutions for linear and nonlinear systems of partial differential equations.

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