A numerical solution of variable order diffusion and wave equations

Author(s):

Nematollah Kadkhoda* , Hossein Jafari , R.M. Ganji

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

In this work, we consider variable order difusion and wave equations. The derivative is described in the Caputo sence of variable order. We use the Genocchi polynomials as basic functions and obtain operational matrices via these polynomials. These matrices and collocation method help us to convert variable order diffusion and wave equations to an algebraic system. Some examples are given to show the validity of the presented method.

Keywords:

Variable order diffusion , wave equations , Genocchi polynomials , Operationalmatrix , Collocation method

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:12 Issue: 1, Winter-Spring 2021
Pages:
27 to 36
https://www.magiran.com/p2261195  
سامانه نویسندگان
  • Jafari، Hossein
    Author (2)
    Jafari, Hossein
    Professor Mathematics, University of Mazandaran, بابلسر, Iran
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