TITLE:
Adomian Decomposition Method for Solving Goursat's Problems
AUTHORS:
Mariam A. Al-Mazmumy
KEYWORDS:
Goursat’s Problem, Linear and Nonlinear Hyperbolic Equation of Second and Fourth-Orders, System of Linear Hyperbolic Equations of Second Order, Adomian Decomposition Method
JOURNAL NAME:
Applied Mathematics,
Vol.2 No.8,
August
8,
2011
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.