Application of the decomposition method for second order wave equations
International Journal of Computer Mathematics, cilt.75, sa.2, ss.235-245, 2000 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 75 Sayı: 2
- Basım Tarihi: 2000
- Doi Numarası: 10.1080/00207160008804979
- Dergi Adı: International Journal of Computer Mathematics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.235-245
- İstanbul Ticaret Üniversitesi Adresli: Evet
Özet
In this paper we study the solution of a linear and nonlinear damped wave and dissipative wave equations by Adomian decomposition method. We illustrate that the analytic solutions and a reliable numerical approximation of the damped wave and dissipative wave equations are calculated in the form of a series with easily computable components. The nonhomogeneous problem is quickly solved by observing the self-canceling 'noise' terms whose sum vanishes in the limit. In comparison to traditional techniques, the series based technique of Adomian decomposition method is shown to evaluate solutions accurately and cheaply.