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The Combined Laplace-Variational Iteration Method for Partial Differential Equations
-
M. Matinfar
,
M. Saeidy
Published/Copyright:
April 11, 2013
Abstract
In this paper, the Laplace transform Variational Iteration Method (LVIM) is employed to obtain approximate analytical solutions of the linear and nonlinear partial differential equations. This method is a combined form of the Laplace transform method and the Variational Iteration Method. The proposed scheme, finds the solutions without any discretization or restrictive assumptions and is free from round-off errors and therefore, reduces the numerical computations to a great extent. Some illustrative examples are presented and the numerical results show that the solutions of the LVIM are in good agreement with the exact solution.
Keywords: Laplace variational iteration method; variational iteration method; non-homogeneous partial differential equation
PACS® (2000): 35E15
Received: 2012-8-4
Accepted: 2013-1-28
Published Online: 2013-4-11
Published in Print: 2013-4-13
©2013 by De Gruyter
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Keywords for this article
Laplace variational iteration method;
variational iteration method;
non-homogeneous partial differential equation
Articles in the same Issue
- Frontmatter
- The Combined Laplace-Variational Iteration Method for Partial Differential Equations
- Analysis of Cyanotoxins Presence from Experimental Cyanobacteria Concentrations in the Trasona Reservoir (Northern Spain) Using Support Vector Regression
- Stability Analysis of an SEIR Epidemic Model with Stochastic Perturbation and Numerical Simulation
- Numerical and Experimental Investigation of Nonlinear Shallow Water Sloshing
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