Author(s)

Mariam A. Al-Mazmumy

.

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.

Goursat’s Problem, Linear and Nonlinear Hyperbolic Equation of Second and Fourth-Orders, System of Linear Hyperbolic Equations of Second Order, Adomian Decomposition Method

M. 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.