✦ LIBER ✦

Bernstein polynomials for solving fractional heat- and wave-like equations

✍ Scribed by Davood Rostamy, Kobra Karimi

Book ID: 118015516
Publisher: SP Versita
Year: 2012
Tongue: English
Weight: 550 KB
Volume: 15
Category: Article
ISSN: 1311-0454
DOI: 10.2478/s13540-012-0039-7

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Bernstein polynomials for solving fracti

Bernstein polynomials for solving fractional heat- and wave-like equations

✍ Davood Rostamy, Kobra Karimi 📂 Article 📅 2012 🏛 SP Versita 🌐 English ⚖ 550 KB

In this paper, a novel numerical analysis is introduced and performed to obtain the numerical solution of the fractional heat-and wave-like equations. A general formulation for the Bernstein fractional derivatives operational matrix is given. In this approach, a truncated Bernstein series together w

Exact solutions for heat-like and wave-l

Exact solutions for heat-like and wave-like equations with variable coefficients

✍ Abdul-Majid Wazwaz; Alice Gorguis 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 226 KB

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

The usage of wave polynomials in solving

The usage of wave polynomials in solving direct and inverse problems for two-dimensional wave equation

✍ A. Macia̧g 📂 Article 📅 2009 🏛 Wiley (John Wiley & Sons) 🌐 English ⚖ 916 KB

The paper presents a new relatively simple yet very effective method to obtain an approximate solution of the direct and inverse problems for two-dimensional wave equation (two space variables and time). Such a equation describes, for example, the vibration of a membrane. To obtain an approximate so

Homotopy analysis method for solving mul

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

✍ H. Jafari; A. Golbabai; S. Seifi; K. Sayevand 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 531 KB

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.