Adomian Decomposition Method for Solving Goursat's Problems

Mariam A. Al-Mazmumy

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DOI: 10.4236/am.2011.28134                

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.

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

Conflicts of Interest

The authors declare no conflicts of interest.

References

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