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Homotopy analysis method for solving multi-term linear and nonlinear diffusion–wave equations of fractional order

✍ Scribed by H. Jafari; A. Golbabai; S. Seifi; K. Sayevand

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
531 KB
Volume
59
Category
Article
ISSN
0898-1221

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✦ Synopsis

In this paper we have used the homotopy analysis method (HAM) to obtain solutions of multi-term linear and nonlinear diffusion-wave equations of fractional order. The fractional derivative is described in the Caputo sense. Some illustrative examples have been presented.

📜 SIMILAR VOLUMES

Homotopy analysis method for solving lin
Homotopy analysis method for solving linear and nonlinear fractional diffusion-wave equation
✍ H. Jafari; S. Seifi 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 196 KB

In this paper, we adopt the homotopy analysis method (HAM) to obtain solutions of linear and nonlinear fractional diffusion and wave equation. The fractional derivative is described in the Caputo sense. Some illustrative examples are presented.

Application of the Laplace decomposition
Application of the Laplace decomposition method for solving linear and nonlinear fractional diffusion–wave equations
✍ H. Jafari; C.M. Khalique; M. Nazari 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 226 KB

In this paper, the Laplace decomposition method is employed to obtain approximate analytical solutions of the linear and nonlinear fractional diffusion-wave equations. This method is a combined form of the Laplace transform method and the Adomian decomposition method. The proposed scheme finds the s