Analytical Approach to Partial Differential Equations Arising In Mechanics
Decomposition method; Partial differential equations
Abstract
In this article, we implement relatively new analytical approach, Adomian decomposition method (ADM), for solving some selected partial differential equations in mechanics. This method in applied mathematics can be used as alternative method for obtaining exact solution for different types of partial differential equations. The method takes the form of a convergent series with easily computable components. The results obtained with minimum amount of computation indicate that the method is reliable and accurate.
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References
G Adomian (1988) A review of decomposition method in applied mathematics.
A Wazwaz (2001) A new algorithms for solving differential equations of lane-Emden type.
R Rach (1992) Noise terms in decomposition series solution.
Abdul-Majid Wazwaz (2000) A new algorithm for calculating adomian polynomials for nonlinear operators. 111(1), 33-51.
Y Cherruait, Adomian (1995) Decomposition method; a new proof of convergence.
R Nagle, E Staff (1994) Fundamentals of differential equations.
Published
2012-07-02
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