AM  Vol.2 No.8 , August 2011
Adomian Decomposition Method for Solving Goursat's Problems
ABSTRACT
In this paper, Goursat’s problems for: linear and nonlinear hyperbolic equations of second-order, systems of nonlinear hyperbolic equations and fourth-order linear hyperbolic equations in which the attached conditions are given on the characteristics curves are transformed in such a manner that the Adomian decomposition method (ADM) can be applied. Some examples with closed-form solutions are studied in detail to further illustrate the proposed technique, and the results obtained indicate this approach is indeed practical and efficient.

Cite this paper
nullM. Al-Mazmumy, "Adomian Decomposition Method for Solving Goursat's Problems," Applied Mathematics, Vol. 2 No. 8, 2011, pp. 975-980. doi: 10.4236/am.2011.28134.
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