Çankaya GCRIS Standart veritabanının içerik oluşturulması ve kurulumu Research Ecosystems (https://www.researchecosystems.com) tarafından devam etmektedir. Bu süreçte gördüğünüz verilerde eksikler olabilir.
 

Operational matrix approach for solving the variable-order nonlinear Galilei invariant advection-diffusion equation

Loading...
Thumbnail Image

Date

2018

Journal Title

Journal ISSN

Volume Title

Publisher

Springer International Publishing AG

Open Access Color

OpenAIRE Downloads

OpenAIRE Views

Research Projects

Organizational Units

Journal Issue

Events

Abstract

In this paper, we investigate numerical solution of the variable-order fractional Galilei advection-diffusion equation with a nonlinear source term. The suggested method is based on the shifted Legendre collocation procedure and a matrix form representation of variable-order Caputo fractional derivative. The main advantage of the proposed method is investigating a global approximation for the spatial and temporal discretizations. This method reduces the problem to a system of algebraic equations, which is easier to solve. The validity and effectiveness of the method are illustrated by an easy-to-follow example.

Description

Keywords

Variable-Order Derivative, Nonlinear Galilei Invariant Advection-Diffusion Equation, Collocation Method, Legendre Polynomials

Turkish CoHE Thesis Center URL

Fields of Science

Citation

Zaky, M. A...et al. (2018). "Operational matrix approach for solving the variable-order nonlinear Galilei invariant advection-diffusion equation", Advances in Difference Equations.

WoS Q

Scopus Q

Source

Advances in Difference Equations

Volume

Issue

Start Page

End Page