An efficient algorithm for solving generalized pantograph equations with linear functional argument
Applied Mathematics and Computation, cilt.217, sa.7, ss.3591-3595, 2010 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 217 Sayı: 7
- Basım Tarihi: 2010
- Doi Numarası: 10.1016/j.amc.2010.09.005
- Dergi Adı: Applied Mathematics and Computation
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.3591-3595
- Anahtar Kelimeler: Advanced pantograph equation, Embedding parameter, Homotopy method
- Uşak Üniversitesi Adresli: Hayır
Özet
A numerical method for solving the generalized (retarded or advanced) pantograph equation under initial value conditions is presented. To display the validity and applicability of the numerical method four illustrative examples are presented. The results reveal that this method is very effective and highly promising when compared with other numerical methods, such as Adomian decomposition method, spline methods and Taylor method. © 2010 Elsevier Inc. All rights reserved.